Bibliographical Notes
References & Summaries

* Astronomy/Astrophysics

- Shape problems

• Coles, Peter et al.:
  • Voronoi Cosmology, 1991.
• Icke, Vincent et al.:
  • Fragmenting the Universe. I. Statistics of Two-Dimensional Voronoi Foams, 1987.
  • The Galaxy Distribution as a Voronoi Foam, 1991.
• Ramella, M. et al. :
  • Finding galaxy clusters using Voronoi tessellations, 2001.

* Calculus

• Hubbard² :
  • Vector Calculus, Linear Algebra, And Differential Forms, 2002.

* Calculus of Variations

• W.S. Kimball :
  • Calculus of Variations - by Parallel Displacement, 1952

* Classical Mechanics

• V.I.Arnold :
  • Mathematical Methods of Classical Mechanics, 1989.
• H. Goldstein :
  • Classical Mechanics, 1980.

* Numerical Analysis & Computations

- General

• William H. Press et al.:
  • Numerical Recipes in C, 1993.

* Shape Languages

• Connolly, Michael L. :
  • Molecular Surfaces: A Review, 1996.
• S. Hyde et al.:
  • The Language of Shape : The Role of Curvature in Condensed Matter: Physics, Chemistry, and Biology, 1997.

* Symmetry, Singularities & Shape

• Arnold, V.I. et al. :
  • Theory of Singularities and its Applications, 1991.
  • Singularities of Caustics and Wave Fronts, 1990.
• Bogaevsky, I. et al. :
  • Perestroikas of Shocks and Singularities of Minimum Functions, 2002.
  • Singularities of Linear Waves in Plane and Space, 2000.
  • Singularities of Viscosity Solutions of Hamilton-Jacobi Equation, 1999+.
  • Metamorphoses of Singularities of Minimum Functions and Bifurcations of Shock Waves of the Burgers Equation with Vanishing Viscosity, 1990.
• Bruce, J.W., Giblin, P.J. et al. :
  • Folding Maps and Focal Sets, 1991.
  • Local Reflexional & Rotational Symmetry in the Plane, 1991.
  • Projections of Surfaces with Boundary, 1990.
  • Local Symmetry in the Plane: Experiment & Theory, 1989.
  • Geometry of Singular Sets, 1989.
  • Global Theorems for Symmetry Sets of Smooth Curves & Polygons in the Plane, 1987.
  • Reconstruction of Surfaces From Profiles, 1987.
  • Growth, Motion & 1-Parameter Families of Symmetry Sets, 1986.
  • Symmetry Sets, 1985.
  • Outlines and their Duals, 1985.
  • Local Symmetry of Plane Curves, 1985.
  • Projections & Reflections of Generic Surfaces in R³, 1984.
  • Seeing - The Mathematical Viewpoint, 1984.
  • Caustics Through the Looking Glass, 1984.
  • Curves & Singularities: A Geometrical Introduction to Singularity Theory, 1984 & 1992.
  • Generic Isotopies of Plane Curves, 1983.
  • Generic Geometry, 1983.
  • Wavefronts & Parallels in Euclidean Space, 1983.
  • Graphs, Surfaces, & Homology: An Introduction to Algebraic Topology, 1981.
• Damon, J.:
  • On the Smoothness and Geometry of Boundaries Associated to Skeletal Structures I: Sufficient Conditions for Smoothness, 2002+
  • On the Smoothness and Geometry of Boundaries Associated to Skeletal Structures II: Geometry in the Blum Case, 2002+
  • Determining the Geometry of Boundaries of Objects from Medial Data, 2002+
  • Scale-based Geometry for Nondifferentiable Functions, Measures, and Distributions, 2002+
• Mumford, D., Teixeira, R. et al. :
  • Surface Evolution under Curvature Flows, 2002.
  • Medial Axes and Mean Curvature Motion I: Regular Points, 2002.
  • Two-and Three-Dimensional Patterns of the Face, 1999.
  • Curvature Motions, Medial Axes and Distance Transforms, 1998.
  • Pattern Theory: A Unifying Perspective, 1996.
  • Mathematical Theories of Shape: do they model perception? 1991.
• Porteous, Ian :
  • Geometric Differentiation, 1994.
  • The Normal Singularities of Surfaces in R³, 1983.
  • The Normal Singularities of a Submanifold, 1971.
• Siersma, D. et al. :
  
  • Power Diagrams and their Applications, 2005.
    
  • The nine Morse generic tetrahedra, 2004.
    
  • Configuration spaces and limits of Voronoi diagram, 2002.
  • The Vanishing Topology of Non Isolated Singularities, 2001.
  • Properties of Conflict Sets in the Plane, 1999.
  • Curvatures of Conflict Surfaces in Euclidean 3-space, 1999.
  • Voronoi Diagrams and Morse Theory of the Distance Function, 1996 & 1999.

* Wave/Particle/Information Transfer

• Huygens, Christiaan:
  • Treatise on Light, 1678.
• Grant, I.P. et al.:
  • Discrete Space Theory of Radiative Transfer: I. Fundamentals, 1969.
  • Discrete Space Theory of Radiative Transfer: II. Stability and Non-Negativity, 1969.
• Lovejoy, A. et al.:
  • Discrete Angle Radiative Transfer. Part I: Scaling and Similarity, Universality and Diffusion, 1990.
  • Discrete Angle Radiative Transfer. Part II: Renormalization Approach for Homogeneous and Fractal Clouds, 1990.
  • Discrete Angle Radiative Transfer. Part III: Numerical Results and Meteorological Applications, 1990.
• Plass, G.N. et al.:
  • Matrix Operator Theory of Radiative Transfer. 1: Rayleigh Scattering, 1973.
• Preisendorfer, R.W, and Stevens, G.L. :
  • Radiative Transfer on Discrete Spaces, 1965.
  • Multimode Radiative Transfer in Finite Optical Media. I: Fundamentals, 1984.
  • Multimode Radiative Transfer in Finite Optical Media. II: Solutions, 1988.
  • Radiative Transfer through Arbitrarily Shaped Optical Media. Part I: A General Method of Solution, 1988.
  • Radiative Transfer through Arbitrarily Shaped Optical Media. Part II: Group Theory and Simple Closures, 1988.
• Ren, H. et al.:
  • Lattice Random Walk of Photon Migration in Turbid Media, 1998.
  • Scattering Matrix Modeling of Photon Migration in Turbid Media, 1999.
• Sen, K.K. et al. :
  • Radiative Transfer in Curved Media, 1990.

* General

• Joukowsky, Martha S., et al. :
  • Petra Great Temple - Volume 1: Brown University Excavations 1993-1997, 1998.
  • A Complete Manual of Field Archaeology, 1980.
• Kanellopoulos, Chrysantos :
  • The Great Temple of Amman - The Architecture, 1994.
• "L'Erma" di Bretschneider (IBM Italia):
  • Rediscovering Pompeii, 1990.
• McKenzie, Judith:
• The Architecture of Petra, 1990.
• Taylor, Jane:
• Petra and the Lost Kingdom of the Nabateans, 2001

* Digital 3D Archaeology & Architecture

• G. Godin et al. :
  • Active Optical 3D Imaging for Heritage Applications, 2002.
• F. Leymarie et al. :
  • SHAPE Lab., 2000
• M. Pollefeys et al. :
  • Acquisition of Detailed Models for Virtual Reality, 1998.

* Digital 2D Archaeology & Pattern Analysis and Visualization

• M. Levoy et al. :
  • Unwrapping and Visualizing Cuneiform Tablets, 2002.

* Shape Reconstruction & Modeling: Pottery/Sherds

• Brogni, A. et al. :
  • An Interactive System for the Presentation of a Virtual Egyptian Flute in a Real Museum, 1998.
• Cooper, D., Willis, A., et al.:
  
  • Stochastic 3D Geometric Models for Classification, Deformation, and Estimation, 2004.
    
  • Bayesian Assembly of 3D Axially Symmetric Shapes from Fragments, 2004.
    
  • Alignment of Multiple Non-overlapping Axially Symmetric 3D Datasets, 2004.
  • Bayesian Virtual Pot-Assembly from Fragments, 2002.
  • Assembling Virtual Pots from 3D Measurements of their Fragments, 2001.
• Glassner, A.:
  • Putting the Pieces Together, 2002.
• Kimia, B. et al. :
  • Archaeological Fragment Re-Assembly Using Curve Matching, 2002
  • On Solving 2D and 3D Puzzles Using Curve Matching, 2001.
• Levoy, M. et al. :
  • Digitizing the Forma Urbis Romae, 2000.
• Papaioannou, G. et al. :
  • On the automatic assemblage of arbitrary broken solid artefacts, 2003.
  • Reconstruction of Three-Dimensional Objects through Matching of Their Parts, 2002.
  • Virtual Archaeologist: Assembling the Past , 2001.
  • Automatic Reconstruction of Archaeological Finds - A Graphics Approach, 2000.
• Rice, P.M. :
  • Pottery Analysis: A Sourcebook, 1987.
• Sablatnig, R. et al. :
  • Automated Segmentation of Archaeological Profiles for Classification, 2002.
  • 3D Modeling of Archaeological Vessels using Shape from Silhouette, 2001.
  • Color Classification of Archaeological Fragments, 2000.
  • Classification of Archaeological Fragments Using a Description Language, 1998.
• Steckner, C.:
  • Form and Fabric, the Real and the Virtual, 1998.
• Stolfi, J. et al.:
  • Information contents of fracture lines, 2000.
  • Automatic reassembly of irregular fragments, 1998.
• Ucoluk, G. et al. :
  • Automatic reconstruction of broken 3-D surface objects, 1999.

* Shape Reconstruction & Modeling: Statues

• M. Levoy et al.:
  • The Digital Michelangelo Project: 3D Scanning of Large Statues, SIGGRAPH 2000.
• G. Taubin et al. :
  • Building a Model of Michelangelo's Florentine Pietà, 2002.
  • A Digital Model of Michelangelo's Florentine Pietà, 1999.

* VR and AR in Archaeology

• M. Forte et al. :
  • Virtual Reality in Archaeology, 2000.
• E. Vote et al. :
  • Discovering Petra: Archaeological Analysis in VR, 2002.
  • ARCHAVE: A Three Dimensional GIS For a CAVE Environment, 2000.
• V. Vlahakis et al.:
  • Archeoguide: An Augmented Reality Guide for Archaeological Sites, 2002.

* Digital Architecture

• Gehry et al. :
  • Digital Gehry, by Bruce Lindsey, 2001.
• Leyton et al. :
• Shape as History: New ideas from Geometry to Architecture, 2003+
• A Mathematical Theory of Architecture, 2001.
• Pranovich, S. et al. :
• Structural Sketcher: Representing and applying well-structured graphic repreesntations in early design, 2005.
  
• Structural Sketcher: a tool for supporting architects in early stages, 2004.

* Digital Landscaping

• van Tonder et al. :
• Recovery of Visual Structure in Illustrated Japanese Gardens, 2006.
• Order and Complexity of Naturalistic Landscapes: On Creation, Depiction and Perception of Japanese Dry Rock Gardens, 2006.
• Visual Perception in Japanese Rock Garden Design, 2005.
• Visual Structure of a Japanese Zen Garden, 2002.

• Deussen, O. et al. :
• Computer-Generated Pen-and-Ink Illustration of Trees, 2000.
  

• Przemyslaw, P., Lindenmayer A. et al. :
• The Algorithmics Beauty of Plants, 1990.

* Drug Design

• L.E. Kavraki et al. :
  • Computational Approaches to Drug Design, 1999.
  • Geometry and the Discovery of New Ligands, 1996.
• R.H. Lewis & S. Bridgett:
  • Conic tangency equations and Apollonius problems in biochemistry and pharmacology, 2003.

* Electron density mappings

• Amenta, N., et al. :
  • Finding alpha-helices in skeletons, 2002.
• Greer, J. :
  • Computer Skeletonization and Automatic Electron Density Map Analysis, 1985.
  • Three-Dimensional Pattern Recognition: An Approach to Automated Interpretation of Electron Density Maps of Proteins, 1974.
• Ioerger, T.R. et al. :
  • TEXTAL: Automated Crystallographic Protein Structure Determination, 2005.
  • Automatic Modeling of Protein Backbones in Electron Density Maps via Prediction of C-alpha Coordinates, 2002.
  • Determining Protein Structure from Electron-density Maps using Pattern Matching, 2000.
• Leherte, L. et al. :
  • Analysis of Three-Dimensional Protein Images, 1997.
  • Molecular Scene Analysis: Application of a Topological Approach to the Automated Interpretation of Protein Electron-Density Maps, 1994.
• Li, Hongzhi et al.:
  • An Integrated Approach to Protein Backbone Modeling, 2002.
• Swanson, S.M. :
  • Core tracing: depicting connections between features in electron density, 1994.

* Molecular Docking, Flexibility, Conformation

• Bajaj, C et al. :
  • A Geometric Approach to Molecular Docking and Similarity, 1994.
• Canny, J. et al. :
  • Geometric problems in molecular biology and robotics, 1994.
• Kavraki, L.E. et al. :
  • A Dimensionality Reduction Approach to Modeling Protein Flexibility, 2002.
  • Molecular Docking: A Problem with Thousands of Degrees of Freedom, 2001.

* Molecular Structures (geometry and topology)

• Richard F.W. Bader et al. :
  • Topology of Electron Density and Open Quantum Systems, 1995.
  • Theory of Atoms in Molecules, 1995.
  • Atoms in Molecules - A Quantum Theory, 1990.
• Herbert Edelsbrunner et al. :
  • On the definition and the construction of pockets in macromolecules, 1998.
  • Analytic shape computation of macromolecules I: Molecular area and volume through alpha shape, 1998.
  • Analytic shape computation of macromolecules II: Inaccessible cavities in proteins, 1998.

* Molecular Surfaces

• Blaney, J. M. et al. :
  • Distance Geometry in Molecular Modeling, 1994.
• Boissonnat, J.-D. et al. :
  • Computing Connolly Surfaces, 1994
• Connolly, M.L. et al. :
  • Molecular Surfaces: Calculations, Uses and Representations, 2001.
  • Molecular Surfaces: A Review, 1996.
  • Molecular interstitial skeleton, 1991.
  • Shape distributions of protein topography, 1992.
• Gerstein, M & Richards, F.S. :
  • Protein Geometry: Distances, Areas, and Volumes, 2001
• Lin, S. L. et al. :
  • Molecular surface representations by sparse critical points, 1994.
• Sanner, Michel F. et al. :
  • Modelling and Applications of Molecular Surfaces, PhD, 1992.
• Will, Hans-Martin :
  • Practical and efficient computation of additively weighted Voronoi cells for applications in molecular biology, 1998.

* Computational Geometry - General

• Cox, David et al. :
  • Using Algebraic Geometry, 1998.
  • Ideals, Varieties, and Algorithms, 2nd ed. 1996.
• Devroye, Luc:
  • Lecture Notes on Bucket Algorithms, 1986.
• Farin, Gerald et al. :
  • The Geometry Toolbox - for Graphics and Modeling, 1998.
• Smid, Michiel :
  • Closest-point problems in computational geometry, 2000.

* Computer Aided (Geometric) Design - General :

• Bernardini, Fausto et al. :
  • Automatic Reconstruction of 3D CAD Models from Digital Scans, 1999.
• Farin, Gerald:
  • Handbook of Computer Aided Geometric Design, 2002
  • Curves and Surfaces for CAGD, 2002.
• Hoffmann, Christoph M. et al. :
  • On user-defined features, 1998.
  • A Road Map To Solid Modeling, 1996.
  • Geometric Constraints for CAGD, 1995.
  • Summary of main topics considered at a Conference on Freeform Curves and Surfaces, 1995.
  • Conversion Methods Between Parametric and Implicit Curves and Surfaces, 1990.
  • Algebraic and Numerical Techniques for Offsets and Blends, 1989.
  • Geometric & Solid Modeling - An Introduction, 1989.
• Martin, Ralph R. et al. :
  • Reverse engineering of geometric models - An introduction, 1997.
• Pottman, H. et al. :
  • Geometry of the squared distance function to curves and surfaces, 2002.
  • Computational Line Geometry, 2001.
  • Error propagation in geometric constructions, 2000.
  • A Laguerre geometric approach to rational offsets, 1998.
  • Applications of Laguerre geometry in CAGD, 1998.

* Bisector & Intersection Computations :

• Elber, Gershon et al. :
  • Computing Rational Bisectors of Point/Surface and Sphere/Surface Pairs, 1999.
• Manocha, Dinesh et al. :
  • Algorithms for intersecting parametric and algebraic curves I: Simple intersections, 1994.
• Peternell, Martin :
  • Geometric Properties of Bisector Surfaces, 2000.

* Distance Computations :

• N.M. Patrikalakis et al. :
  • Computation of Stationary Points of Distance Functions, 1993.

* Geometric Concepts : [Top]

• Wolfgang Boehm et al. :
  • Bézier and B-Spline Techniques, 2002.
  • Mathematical aspects of Computer Aided Geometric Design, 1994.
  • Geometric concepts for geometric design, 1994.
  • On Cyclides in Geometric Modeling, 1990.

- Cyclides :

• W.Boehm :
  • On Cyclides in Geometric Modeling, 1990.
• W.Degen :
  • Generalised Cyclides for use in CAGD, 1993.
• A.E.Hirst :
  • Blending Cones and Planes by Using Cyclides of Dupin, 1990.
• J.M. Pratt et al. :
  • Quartic Supercyclides I: Basic Theory, 1997.
  • Cyclides in Surface and Solid Modeling, 1993.

- Hodography :

• Rida T. Farouki et al. :
  • Structural invariance of spatial Pythagorean hodographs, 2002.
• Choi, H.I et al. :
  • Rational Parametrization of Canal Surface by 4 Dimensional Minkowski Pythagorean Hodograph Curves, 2000.
  • Medial axis transform and offset curves by Minkowski Pythagorean hodograph curves, 1999.
• Hwan Pyo Moon :
  • Minkowski Pythagorean Hodographs, 1999.

- Representations :

• C.M. Hoffman et al. :
  • A Framework for Object Modeling, 1999.
• J.K. Johnstone et al. :
  • The representation of all hyperboloids of one sheet by two lines, 1991.

- Voronoi diagrams :

• Aurenhammer, F. et al. :
  • Voronoi Diagrams, 2000.
  • Skew Voronoi Diagrams, 1998.
  • Voronoi Diagrams - A Survey of a Fundamental Geometric Data Structure, 1991.
  • Power diagrams: Properties, algorithms, and applications, 1987.
• Huttenlocher, D. et al. :
  • The Upper Envelope of Voronoi Surfaces and Its Applications, 1993.
  • On Dynamic Voronoi Diagrams and the Minimum Hausdorff Distance for Point Sets Under Euclidean Motion in the Plane, 1992.
• Marton, G. :
  • Acceleration of Ray Tracing via Voronoi Diagrams, 1995.
• Okabe, A. et al. :
  • Spatial Tessellations - Concepts and Applications of Voronoi Diagrams, 1992 & 2000.
• Watson, Dave et al. :
  • modemap: An implementation of natural neighbor interpolation on the sphere, 1998.
  • nngridr: An implementation of natural neighbor interpolation, 1994.
  • Natural neighbor sorting on the n-dimensional sphere, 1988.

* Geometric Probing :

• H. Hagen et al. :
  • Surface interrogations algorithms, 1992.
• Hoffmann, Christoph M. et al. :
  • A Dimensionality Paradigm for Surface Interrogations, 1990.
  • Curvature Computations on Surfaces in n-Space, 1990.
  • Visualization of Surfaces in Four-Dimensional Space, 1990.
• J. Hoschek et al. :
  • Smoothing of curves and surfaces, 1985.
• S.S. Skiena :
  • Problems in Geometric Probing, 1989.
• N.M. Patrikalakis & T. Maekawa:
  • Shape Interrogation for Computer Aided Design and Manufacturing, 2002.

* Motion & Path Planning : [Top]

• L.E. Kavraki et al.:
  • A Framework for Using the Workspace Medial Axis in PRM Planners, 2000.
  • A Probabilistic roadmap planner for flexible objects with a workspace medial axis based sampling approach, 1999.
• K. Gupta :
  • Motion planning for flexible shapes (systems with many degrees of freedom): A survey, 1998.
• J.-C. Latombe :
  • Robot Motion Planning, 1991.

* Numerically Controlled (pocket) Machining :

• M. Held :
  • On the computational geometry of pocket machining, 1991.

* Shape, Skeletons, Voronoi/Delaunay : [Top]

• Surveys, States-of-the-Art, Chapters, etc.:

• 3D Shape Searching: State-of-the-Art Review and Future Trends, 2004.
  

• Amenta, N. et al. :
  • Finding alpha-helices in skeletons, 2002.
  • Computational Topology: Ambient Isotopic Approximation of 2-Manifolds, 2002+.
  • The power crust, unions of balls, and the medial axis transform, 2001.
  • The medial axis of a union of balls, 2000.
  • Accurate and efficient unions of balls, 2000.
  • Surface reconstruction by Voronoi filtering, 1999.
  • A New Voronoi-Based Surface Reconstruction Algorithm, SIGGRAPH'98.
  • The crust and the beta-skeleton: combinatorial curve reconstruction, 1998.
• Armstrong, C.G. et al. :
  • Adaptive Curvature-Sensitive Meshing of the Medial Axis, 2001.
  • Techniques for Interactive and Automatic Idealisation of CAD Models, 1998.
  • Shape Description by Medial Surface Construction, 1996.
  • Hexahedral Mesh Generation by Medial Surface Subdivision: Part II. Solids with Flat & Concave Edges, 1997.
  • Hexahedral Mesh Generation by Medial Surface Subdivision: Part I, Solids With Convex Edges", 1995.
  • Dimensional Reduction of Analysis Models, 1996.
  • Medials for Meshing and More, 1995.
• Aurenhammer, F. et al. :
  • Straight Skeletons for General Polygonal Figures in the Plane, 1998.
  • A Novel Type of Skeleton for Polygons, 1995.
• Choi, S.W. et al.:
  • Linear One-sided Stability of MAT for Weakly Injective 3D Domain, 2002.
  • Two-dimensional Offsets via Medial Axis Transform I: Mathematical Theory, 2001+
  • Two-dimensional Offsets via Medial Axis Transform II: Algorithm, 2001+
  • Stability Analysis of Medial Axis Transform under Relative Hausdorff Distance, 2000.
  • Medial axis transform and offset curves by Minkowski Pythagorean hodograph curves, 1999.
  • New Algorithm for Medial Axis Transform of Plane Domain, 1997.
  • Mathematical Theory of Medial Axis Transform, 1997.
• Dey, T. et al.:
  • Approximating medial axis for CAD models, 2003.
  • Approximating medial axis from the Voronoi diagram with convergence guarantee, 2002 & 2004.
  • Approximate medial axis as a Voronoi subcomplex, 2002 & 2004.
• Edelsbrunner, H. et al. :
  • The union of balls and its dual shape, 1995.
  • Three-dimensional alpha shapes, 1994.
  • Delaunay and Regular Triangulation in Space, 1993.
  • On the Shape of a Set of Points in the Plane, 1983.
• Etzion, M. et al. :
  • Computing the Voronoi diagram of a 3-D polyhedron by separate computation of its symbolic and geometric parts, 1999.
  • Computing Voronoi skeletons of a 3-D polyhedron by space subdivision, 1997.
• Hoffman, C.M. et al. :
  • Medial Axis Transform to Boundary Representation Conversion, P.J.Vermeer (PhD Thesis), 1994.
  • On the Skeleton of Simple CSG Objects, 1993.
  • Computer Vision, Descriptive Geometry, and Classical Mechanics, 1991.
  • Fundamental Techniques for Geometric and Solid Modeling, 1991.
  • How to Compute Offsets Without Self-Intersection, 1991.
  • How to Construct the Skeleton of CSG Objects, 1990.
  • A Geometric Investigation of the Skeleton of CSG Objects, 1990.
• Manocha, D. et al. :
  • Accurate Computation of the Medial Axis of a Polyhedron, 1998 & 1999.
• Okabe, A. et al. :
  • Spatial Tessellations - Concepts and Applications of Voronoi Diagrams, 1992 & 2000.
• Patrikalakis, N.M., Sherbrooke, E.C. et al. :
  • An Algorithm for the Medial Axis Transform of 3D Polyhedral Solids, 1996.
  • 3-D Shape Interrogation by Medial Axis Transform, E.C. Sherbrooke (PhD Thesis), 1995.
• Prinz, Friedrich et al. :
  • Box-skeletons of Discrete Solids, 1996.
• Rezayat, M. et al. :
  • Midsurface abstraction from 3D solid models: General theory and applications, 1996.
• Storti, D. & Turkiyyah, G. et al. :
  • A Skeletal/Metaball Shape Representation to Support Deformable Solid Modeling, 2000.
  • Skeleton-based Three-dimensional Geometric Morphing, 2000.
  • A Skeletal-Based Solid Editor, 1999.
  • Skeleton-Based Modeling Operations on Solids, 1997.
  • An Accelerated Triangulation Method for Computing Skeletons of Free-form Solid Models, 1997.
  • Computation of 3D Skeletons by a Generalized Delaunay Triangulation Approach, 1995.
• Teichmann, M. et al. :
  • Assisted Articulation of Closed Polygonal Models, 1998.
  • Polygonal Approximation of Voronoi Diagrams of Triangles in Three Dimensions, 1997.
  • Surface Recosntruction with Anisotropic Density-Scaled Alpha Shapes, 1998.
• Wolter, F.-E. et al. :
  • Laplace-Beltrami Spectra as Shape DNA of Surfaces and Solids, 2006.
  • Geometric Modeling of Complex Shapes and Engineering Artifacts, 2004.
  • Shape Intrinsic Watermarks for Free-Form Objects, 2004.
  • Shape Intrinsic Properties for Free-Form Object Matching, 2003
  • Shape Intrinsic Fingerprints for Free-Form Object Matching, 2003.
  • Shape Intrinsic Watermarks for 3D Solids, 2003.
  • Simplification of Closed Triangulated Surfaces Using Simulated Annealing, 2001.
  • Local & Global Geometric Methods for Analysis Interrogation, Reconstruction, Modification & Design of Shape, 2000.
  • Geometrical criteria on the higher order smoothness of composite surfaces, 1999.
  • Haptical Rendering of Rough Surfaces using their Fractal Dimension, 1999.
  • Geodesic Voronoi Diagrams on Parametric Surfaces, 1997.
  • Computation of Medial Curves in Surfaces, 1996.
  • Umbilics and Lines of Curvature for Shape Interrogation, 1996.
  • Differential and Topological Properties of Medial Axis Transforms, 1996.
  • Surface curve design by orthogonal projection of space curves onto free-form surfaces, 1996.
  • The Geometric Modeling and Interrogation System Praxiteles, 1995.
  • Numerical Experiments in Surface Approximation with Degree Reduction, 1994/3.
  • Cut Locus & Medial Axis in Global Shape Interrogation & Representation, 1993.
  • Inspection and Feature Extraction of Marine Propellers, 1993.
  • Geometrical Criteria to Guarantee Curvature Continuity of Blend Surfaces, 1992.
  • Approximation of High-Degree and Procedural Curves, 1992.
  • Curvature Computations for degenerate surface patches, 1992.
  • Topological and Differential-Equation Methods for Surface Intersections, 1992.
  • Cut Loci in Bordered and Unbordered Riemannian Manifolds, 1985.
  • Interior Metric, shortest paths and loops in Riemannian manifolds with not necessarily smooth boundary, 1979.
  • Distance Function and Cut Loci on a Complete Riemannian Manifold, 1979.

* Surface/Curve Reconstruction & Meshing : [Top]

• Workshops and Conferences:
  • DIMACS Workshop on Surface Reconstruction, April-May 2003.
• Amenta, N. et al. :
  • Defining point-set surfaces, 2004.
  • A simple algorithm for homeomorphic surface reconstruction, 2000.
  • Surface reconstruction by Voronoi filtering, 1999.
  • A New Voronoi-Based Surface Reconstruction Algorithm, SIGGRAPH'98.
• Attali, D. et al.:
  • Delaunay Conforming Iso-surface, Skeleton Extraction and Noise Removal, 2001+
  • r-Regular Shape Reconstruction from Unorganized Points, 1997 & 1998.
• Bernardini et al. :
  • The Ball-Pivoting Algorithm for Surface Reconstruction, 1999.
  • Reconstructing Surfaces and Functions on Surfaces from Unorganized Three-Dimensional Data, 1997.
• Dey, T. et al.:
  • Curve and surface reconstruction, 2004.
  • Sampling and meshing a surface with guaranteed topology and geometry, 2004.
  • Quality meshing for polyhedra with small angles, 2004.
  • Provable surface reconstruction from noisy samples, 2004.
  • Tight Cocone: A water-tight surface reconstructor, 2003.
  • Detecting Undersampling in Surface Reconstruction, 2001 & 2003.
  • Delaunay based shape reconstruction from large data, 2001.
• Giessen, J. et al. :
• Critical Points of the Distance to an ε-Sampling on a Surface & Flow Based Surface Reconstruction, 2005.
• Shape Segmentation and Matching with Flow Discretization, 2003.
• Computing the Weighted Flow Complex, 2003.
• Alpha-Shapes and Flow Shapes are Homotopy Equivalent, 2003.
• The Flow Complex: A Data Structure for Geometric Modeling, 2003.
• Surface Reconstruction Based on a Dynamical System, 2002.
• The Complexity of Flow Diagrams in the Plane, 2002.
• Surface Reconstruction Using Umbrella Filters, 2002.
• New Techniques for Topologically Correct Surface Reconstruction, 2000.
• Gopi, M. et al.:
  
• On Sampling and Reconstructing Surfaces with Boundaries, 2002.
  
• A Fast and Efficient Projection Based Approach for Surface Reconstruction, 2002.
• Theory and Practice of Sampling and Reconstruction for Manifolds with Boundaries, Ph.D., 2001.
• Surface Reconstruction based on Lower Dimensional Localized Delaunay Triangulation, 2000.
• INRIA:
  • J.-D. Boissonnat et al. :
    • Natural Neighbour Coordinates of Points on a Surface, 2000.
    • Smooth Surface Reconstruction via Natural Neighbour Interpolation of Distance Functions, 2000.
    • Geometric structures for three-dimensional shape representation, 1984.
  • E. Boyer et al. :
    • Regular and Non-Regular Point Sets: Properties and Reconstruction, 2001.
  • Da, F. et al.:
    • A Greedy Delaunay Based Surface Reconstruction Algorithm, 2002.
    • Shape Interpolation, (PhD of TKF Da), 2002.
• Level Set based methods:
  • Jim Blinn:
    • A Generalization of Algebraic Surface Drawing, 1982.
  • J. C. Carr et al. :
    • Smooth surface reconstruction from noisy range data, 2003.
    • Reconstruction and Representation of 3D Objects with Radial Basis Functions, 2001.
    • Surface Interpolation with Radial Basis Functions for Medical Imaging, 1997.
  • H. Hoppe et al. :
    • Surface Reconstruction from Unorganized Points, 1992.
  • N. Kojekine et al. :
    • Surface reconstruction based on compactly supported radial basis functions, 2004.
    • Software Tools Using CSRBFs for Processing Scattered Data, 2003.
  • M. Levoy et al.:
    • A Volumetric Method for Building Complex Models from Range Images, 1996.
  • C. T. Lim et al. :
    • Implicit Reconstruction of Solids from Cloud Point Sets, 1995.
  • W. Lorensen et al.:
    • Marching Cubes: A High Resolution 3D Surface Construction Algorithm, 1987.
  • B. S. Morse et al. :
    • Interpolating Implicit Surfaces from Scattered Surface Data Using Compactly Supported Radial Basis Functions, 2001.
  • S. Muraki :
    • Volumetric Shape Description of Range Data using "Blobby Model", 1991.
  • T. Poston et al.:
    • Multiresolution Isosurface Extraction with Adaptive Skeleton Climbing, 1998.
  • H.-P. Seidel, A. Belyaev, G. Turk et al. :
    • Multi-level Partition of Unity Implicits, 2003.
    • Modelling with Implicit Surfaces that Interpolate, 2002.
  • H.-K. Zhao et al.:
    • Visualization, Analysis and Shape Reconstruction of Unorganized Data Sets, 2002.
    • Fast Surface Reconstruction Using the Level Set Method, 2001
• Mencl, R. et al. :
  • Interpolation and approximation of surfaces from three-dimensional scattered data points, 1998
  • Graph-Based Surface Reconstruction Using Structures in Scattered Point Sets, 1998.
  • A Graph-Based Approach to Surface Reconstruction, 1995.
• Surface Propagation based methods:
  • F. Bernardini et al. :
    • The Ball-Pivoting Algorithm for Surface Reconstruction, 1999.
  • M. Gopi et al.:
    • Fast and Efficient Projection Based Approach for Surface Reconstruction, 2002.
    • Surface Reconstruction based on Lower Dimensional Localized Delaunay Triangulation, 2000.
  • C.H. Menq et al. :
    • Combinatorial manifold mesh reconstruction and optimization from unorganized points with arbitrary topology, 2000.
  • G.-J. Wang et al. :
    • A mesh reconstruction algorithm driven by intrinsic property of point cloud, 2004.
• Taubin, G., F. Bernardini et al. :
  • Estimating the in/out function of a surface represented by points, 2003.
  • Volume Warping for Adaptive Isosurface Extraction, 2002.
  • Building a digital model of Michelangelo's Florentine Pieta, 1999 & 2002.
  • The Ball-Pivoting Algorithm for Surface Reconstruction, 1999.
  • Computing Consistent Normals and Colors from Photometric Data, 1999.
  • Implicit Simplicial Models I: Adaptive Curve Reconstruction, 1996.
  • Parameterized Families of Polynomials for Bounded Algebraic Curve and Surface Fitting, 1994.
  • Curve and Surface Smoothing Without Shrinkage, 1994.
  • Distance approximations for rasterizing implicit curves, 1994.
  • Recognition and Positioning of Rigid Objects using Algebraic and Moment Invariants, Ph.D., 1990.
• Volumetric sculpturing methods:
  • J.-D. Boissonnat et al. :
    • Geometric structures for three-dimensional shape representation, 1984.
  • F. Isselhard et al. :
    • Polyhedral approximation and First Order Segmentation of Unstructured Point Sets, 1998.
    • Polyhedral reconstruction of 3d objects by tetrahedral removal, 1997.

Survey

* Visualization :

• Nielson, G.M. :
  • Modeling and Visualizing Volumetric and Surface-on-Surface Data, 1993.

* Waves & Propagations : [Top]

• Blum, Harry et al. :
  • A Mathematical Model of Blum's Theory of Pattern Recognition, by J.C. Kotelly, 1963.
  • Research Directed Toward Pattern Recognition Capabilities of Wave Processes in Active Isotropic Propagating Media, by D.G. Mello & G.J. English, 1966.
  • Corner and Curvature Discrimination Properties of a Circular Aperture, by G.J. English, 1966.
  • Study of the Mathematical Foundations of the Medial Axis Transformation, by Calabi et al., 1968

• Hoffmann, C.M. :
  • Computer Vision, Descriptive Geometry, and Classical Mechanics, 1991.

• Sethian, James Albert et al. :
  • Level Set Methods and Fast Marching Methods, 1999.
  • Computing geodesic paths on manifolds, by R.Kimmel & J.A.Sethian, 1998.
  • A fast marching level set method for monotonically advancing fronts, J.Sethian, 1996.
  • An O(N log N) algorithm for shape modeling, R.Malladi & J.Sethian, 1996.
  • Level set methods: Evolving interfaces in geometry, fluid mechanics, computer vision, and materials science, by J.A. Sethian, 1996.

* General :

• Delgado Friedrichs, Daniel Huson,et al. :
  • Three-dimensional orbifolds and space groups, 2000+.
  • Tiling space by Platonic solids I, 1999.
• Dickinson, R. R. et al. :
  • Interactive analysis of the topology of 4D vector fields, 1991.
• Edelsbrunner, Herbert et al. :
  • Morse-Smale complexes for piecewise linear 3-manifolds, 2003.
  • Loops in Reeb Graphs of 2-Manifolds, 2003.
  • Hierarchical Morse complexes for piecewise linear 2-manifolds, 2001.
  • Emerging Challenges in Computational Topology, 1999.
  • Computational Topology, 1998.
  • Auditory Morse analysis of triangulated manifolds, 1998.
  • Triangulating Topological Spaces, 1997.
• Hart, John C. et al. :
  • Using the CW-Complex to Represent the Topological Structure of Implicit Surfaces and Solids, 1999.
  • Computational Topology for Shape Modeling, 1999.
  • Critical Points of Polynomial Metaballs, 1998.
  • Morse Theory for Implicit Surface Modeling, 1997.
  • Morse Theory for Computer Graphics, 1997.
• Kendall, D.G. et al. :
  • Shape and shape theory, 1999.
• Wu, Shin-Ting et al. :
  • On Improving the Search for Critical Points of Implicit Functions, 1999.
• Shinagawa, Yoshihisa et al. :
  • A Reeb graph-based representation for non-sequential construction of topologically complex shapes, 1998.

* Crystallography :

International Union of Crystallography: http://iucr.sdsc.edu/

Crystallography 101 --- An Introductory Course by Bernhard Rupp.

• Delgado Friedrichs, Daniel Huson, et al. :
  • Orbifold Triangulations and Crystallographic Groups, 1997.
• Johnson, Carroll et al. :
  • Crystallographic Topology 2: Overview and Work in Progress, 1999.
  • Crystallographic Topology and Its Applications, 1996.

* General references :

• Fleming, B. :
  • 3D Modeling & Surfacing, 1999.
• Foley et al.:
  • Computer Graphics --- Principles and Practice, 1996.

* Rendering - BRDF : [Top]

• Szymon Rusinkiewicz
  • A New Change of Variables for Efficient BRDF Representation, 1998.
  • A Survey of BRDF Representation for Computer Graphics, 1997.

* Rendering - Image-Based (IBR)

• Youichi Horry et al. :
  • Tour Into the Picture: Using a Spidery Mesh Interface to Make Animation from a Single Image, SIGGRAPH'97.

* Rendering - Light : [Top]

• Gross, Markus et al. :
  • Surfels: surface elements as rendering primitives, SIGGRAPH'00
• Hanrahan, Pat et al. :
  • Monte Carlo Evaluation of Non-Linear Scattering Equations for Subsurface Reflection, 2000.
  • Illumination from Curved Reflectors, SIGGRAPH'92.
• Hart, John C. et al. :
  • Sphere tracing: A geometric method for the antialiased ray tracing of implicit surfaces, 1996.
• Jensen, Henrik Wann et al. :
  • Efficient Simulation of Light Transport in Scenes with Participating Media using Photon Maps, SIGGRAPH'98.
  • Adaptive Sampling and Bias Estimation in Path Tracing, 1997.
  • Global Illumination using Photon Maps, 1996.
  • Rendering Caustics on Non-Lambertian Surfaces, GI'96.
• Kajiya, James T.:
  • The rendering equation, SIGGRAPH'86.
• Moravec, Hans P.:
  • 3D Graphics & the Wave Theory, SIGGRAPH'81.
• Participating Media papers :
  • Global Illumination Techniques for the Simulation of Participating Media, F.X. Sillion et al., 1997.
• Mark Pauly et al. :
  • Metropolis Light Transport for Participating Media, 2000.
• Radiosity papers :
  • Acceleration Radiosity Solutions through the use of Hemisphere-base Formfactor Calculation, 1998.
• Ray Tracing papers :
  • Priority-driven Ray Tracing, 1997.
  • A Terrain Rendering Method using Vertical Ray Coherence, 1997.
• Stam, Jos :
  • Ray tracing in Non-Constant Media, 1996.
  • Multi-Scale Stochastic Modelling of Complex Natural Phenomena, PhD, 1995.
• Veach, Eric :
  • Robust Monte Carlo Methods for Light Transport Simulation, PhD thesis, Stanford, 1997.
  • Metropolis Light Transport, SIGGRAPH'97.

* Shape - Generation/Growth :

• Stochastic Growth models :
  • Voxel Space Automata: Modeling with Stochastic Growth Processes in Voxel Space, by N. Greene, SIGGRAPH'89

* Shape - Metamorphosis/Morphing/3D-Deformations : [Top]

• Axial deformations by INRIA :
  • Metamorphosis of Cylinder-like Objects, F.Lazarus & A.Verroust, 1997.
  • Axial Deformations: An Intuitive Deformation Technique, F.Lazarus et al., 1994.
• Ridge deformations :
  • Wires: A Geometric Deformation Technique, K.Singh & E.Fiume, SIGGRAPH'98.

* Shape - Reconstruction, Animation & Deformation via Skeletons : [Top]

• Axial models by INRIA :
  • Level Set Diagrams of Polyhedral Objects, 1998.
  • Extracting skeletal curves from 3D scattered data, A.Verroust & F.Lazarus, 1999 & 1997.
• Biasotti, Silvia et al. :
  • An overview on properties and efficacy of skeletons in Shape Modelling, 2003.
  • 3D Shape Matching through Topological Structures, 2003.
  • Topological Techniques for Shape Understanding, 2001.
• Bloomenthal, Jules et al. :
  • Medial-Based Vertex Deformation, 2002
  • Skeletal Methods of Shape Manipulation, 1999.
  • Introduction to Implicit Surfaces, 1997.
  • An Implicit Surface Polygonizer, 1994.
• J.P. Lewis et al.:
  • Pose space deformation: a unified approach to shape interpolation and skeleton-driven deformation, 2000.
• C.van Overveld & B.Wyvill :
  • Polygon Inflation for Animated Models: A Method for the Extrusion of Arbitrary Polygon Meshes, 1997.
• S.Pontier et al. :
  • Implicit Surface Reconstruction from 2D CT Scan Sections, 1998.
  • Weighted Skeleton for Implicit Object Reconstruction, 1998.
• S. Teller et al. :
  • Reconstructing 3D Tree Models from Instrumented Photographs, 2001.
  • Assisted Articulation of Closed Polygonal Models, 1998.
  • Polygonal Approximation of Voronoi Diagrams of Triangles in Three Dimensions, 1997.
• Wade & Parent:
  • Automated Generation of Control Skeletons for Use in Animation, 2002.
  • Fast, Fully-Automated Generation of Control Skeletons for Use in Animation, 2000.
• Wu, Fu-Che et al. :
  • Skeleton Extraction of 3D Objects with Radial Basis Functions, 2003.

* Sketching - Gesture-based drawing : [Top]

• R.C. Zeleznik et al. :
  • Sketch-N-Make: Automated Machining of CAD Sketches, 1998.
  • ErgoDesk: A Framework for Two- and Three-Dimensional Interaction at the ActiveDesk, 1998.
  • SKETCH: An interface for sketching 3D scenes, SIGGRAPH'96.
• Takeo Igarashi et al. :
  • Interactive Beautification: A Technique for Rapid Geometric Design, UIST'97.
  • Pegasus: A Drawing System for Rapid Geometric Design, T. Igarashi et al., CHI'98.
• Ralph Martin et al. :
  • Applying Constraints to Enforce User's Intentions in Free Hand 2-D Sketches, 1992.
  • The Importance of Free-Hand Sketching in Conceptual Design: Automatic Sketch Input, DTM '93.
• R. Szeliski et al. :
  • Interactive 3D Modeling from Multiple Images using Scene Regularities, SMILE'98.

* User-Driven Extraction of Curves & Surfaces : [Top]

• William A. Barrett et al. :
  • Intelligent Scissors for Image Composition, SIGGRAPH'95.
  • Interactive Segmentation with Intelligent Scissors, GMIP, 1998.
• A.X.Falcao et al.:
  • User-Steered Image Segmentation Paradigms: Live Wire and Live Lane
• M. Gleicher:
  • Image Snapping, SIGGRAPH'95.
• T. Mitsunaga et al.:
  • AutoKey: Human Assisted Key Extraction, SIGGRAPH'95.

* Visibility : [Top]

• Fredo Durand, François Sillion, George Drettakis, Claude Puech, et al. :
  • Fast and Accurate Hierarchical Radiosity Using Global Visibility, 1998.
  • The 3D Visibility Complex: A unified data-structure for global visibility of scenes of polygons and smooth objects, 1997.
  • The Visibility Skeleton: A Powerful And Efficient Multi-Purpose Global Visibility Tool, SIGGRAPH 1997.
  • Interactive Update of Global Illumination Using A Line-Space Hierarchy, SIGGRAPH 1997.
• Gershon Elber et al. :
  • Visibility as an Intrinsic Property of Geometric Models, 1998.
  • Arbitrarily Precise Computation of Gauss Maps and Visibility Sets for Freeform Surfaces, 1995.
• Seth Teller et al. :
  • Frustum Casting for Progressive, Interactive Rendering, 1998.
  • Visibility Computations for Global Illumination Algorithms, SIGGRAPH'93.

* 3D : Databases :

• Funkhouser, Tom et al. :
  • A Search Engine for 3D Models, 2003.
• Rossignac, Jarek et al. :
  • Interactive Exploration of Distributed 3D Databases over the Internet, 1998.
  • Geometric Compression through Topological Surgery, 1998.
  • Geometry Coding and VRML, 1998.
• Shinagawa, Yoshihisa et al. :
  • Topology Matching for Full Automatic Similarity Estimation of 3D, 2001.

* 3D : CyberCity/CyberMonument :

• Anselmo Lastra et al. :
  • Images for Accelerating Architectural Walkthroughs, 1998.
• Leymarie, F. et al. :
  • Applications of Virtual Reality: CyberMonument & CyberCity, 1997.
• Parish, Y.I.H. et al. :
  • Procedural modeling of cities, SIGGRAPH'01.

* 3D : Visualization / Large Data Sets :

• Markus Gross et al. :
  • Visualization of directed associations in e-commerce transaction data, 2001.

* 3D : Visualization / Surfaces : [Top]

• Victoria Interrante et al. :
  • Illustrating Surface Shape in Volume Data via Principal Direction-Driven 3D Line Integral Convolution, 1997.
  • Conveying the 3D Shape of Smoothly Curving Transparent Surfaces via Texture, 199
  • Enhancing Transparent Skin Surfaces with Ridge and Valley Lines, 1995.
• Alan P. Mangan & Ross T. Whitaker:
  • Partitioning 3D Surface Meshes Using Watershed Segmentation, 1999.

* 3D : Visualization / Texture maping : [Top]

• Michael Cox et al. :
  • Multi-level Texture Caching for 3D Graphics Hardware, 1998.
• Michael Gruber et al. :
  • The Styria Flyover - LOD management for huge textured terrain models, 1998.

* Calibration: [Top]

• Konstantinos Daniilidis :
  • Active intrinsic calibration using vanishing points, 1996.
• Heping Pan :
  • Absolute Orientation of Single Images, 1996.
  • Relative Orientation of Stereo Images, 1996.
  • Image Resituation: Initial Theory, 1995.
  • Two-Image Resituation: Practical Algorithm, 1995.
• Marc Pollefey et al. :
  • Self-Calibration & Metric Reconstruction in spite of Varying & unknown Internal Camera Parameters, ICCV98.
  • Self-Calibration from the Absolute Conic on the Plane at Infinity, 1997.

* Data-Base Search

• Wolter, F.-E. et al. :
• Laplace-Spectra as Fingerprints for Image Recognition, 2006+.

 * Distance Transforms: Euclidean:

• Breu, H. et al.:
  • Linear Time Euclidean Distance Transform Algorithms, PAMI, 1995.
• O. Cuisenaire et al. :
  • Distance Transformations: Fast Algorithms and Applications to Medical Image Processing, PhD thesis, 1999.
  • Fast Euclidean distance transformations by propagation using multiple neighbourhoods, CVIU, 1999.
  • Fast and exact signed Euclidean distance transformation with linear complexity, ICASSP'99.
• Danielsson, P.-E. :
  • Euclidean Distance Mapping, 1980.
• H.Eggers :
  • Two Fast Euclidean Distance Transformations in Z² Based on Sufficient Propagation, 1998.
  • Fast parallel Euclidean distance transformation in Z^n, 1997.
• Paul T. Jackway et al. :
  • On Computing the Exact Euclidean Distance Transform on Rectangular and Hexagonal Grids, IVC 1998 (submitted).
• Y-H. Lee et al. :
  • Parallel Computation of the Euclidean Distance Transform on the Mesh of Trees and the Hypercube Compute, 1997.
• Frederic Leymarie et al. :
  • Fast Raster Scan Distance Propagation on the Discrete Rectangular Lattice, 1992.
• Ingemar Ragnemalm et al. :
  • The Euclidean Distance Transform, 1993.
• Ye, Q.Z.:
  • The signed Euclidean distance transform and its applications, 1988.

* Distance Transforms: Non-Euclidean:

• Borgefors, G. et al.:
  • Distance Transformations in Digital Images, 1986.
• A.W. Paeth :
  • Distance Approximations & Bounding Polyhedra, Graphics Gems, 1995.

* Distance Maps, Vector Distance Functions :

• J. Gomes & O. Faugeras:
  • The Vector Distance Functions, 2003.
  • Reconciling Distance Functions and Level Sets, 2000.

* Fractals :

• B. Dubuc et al.:
  • Error bounds on the estimation of fractal dimension, 1996.
  • Surface fractal dimension and the quantification of roughness of titanium implant material, 1994.
  • Complexity Maps Reveal Clusters in Neuronal Arborizations, 1994.
  • Evaluation of the surface roughness of cystine stones using a visible laser diode scattering approach, 1993.
  • On Takagi fractal surfaces, 1989.
  • Evaluating the Fractal Dimension of Surfaces, 1989.
  • Evaluating the Fractal Dimension of Profiles, 1989.
• J. Mishra et al. :
  • On calculation of fractal dimension of images, 2001.

* General

• Kenichi Kanatani :
  • Geometric computation for machine vision, 1993.
• Kimia, B. et al. :
  • Euler Spiral for Shape Completion, 2003.
  • Segmentation of carpal bones from 3D CT images using skeletally coupled deformable models, 1998.
  • Volumetric Segmentation of Medical Images By 3D Bubbles, 1997.
  • Shocks From Images: Propagation of Orientation Elements, 1997.
  • Image Segmentation by Reaction-Diffusion Bubbles, 1995.
  • Geometry Shock-Capturing ENO Schemes for Subpixel Interpolation, Computation & Curve Evolution, 1995.
  • Geometric Heat Equation & Nonlinear Diffusion of Shapes & Images, 1994.
  • Three Dimensional Shape Representation from Curvature Dependent Surface Evolution, 1994.
  • Analytic Inverse of Discrete Gaussian Blur, 1993.
  • On the Evolution of Curves via a Function of Curvature, I: The Classical Case, 1990 & 1992.
  • Deblurring Gaussian Blur, Continuous and Discrete Approaches, 1986 (M.Eng.)
  • Deblurring Gaussian blur, 1984.
• Koenderink, Jan J., et al. :
  • Solid shape. MIT Press, 1990.
• Zucker, S.W. et al. :
  • Complexity, Confusion, and Perceptual Grouping. Part I: The Curve-like Representation, 2001.
  • Complexity, Confusion, and Perceptual Grouping. Part II: Mapping Complexity, 2001.
  • Categorical Features in Shape Perception, 1999.
  • Logical/Linear Operators for Image Curves, 1995.
  • Shapes, shocks, and deformations, I, 1995.
  • The Effect of Contour Closure on the Rapid Discrimination of Two-Dimensional Shapes, 1993.
  • The Integration of Figure Fragments into Representations of Planar Shape, 1993.
  • Shape from Shading on a Cloudy Day, 1992 & 1994.
  • Contour Closure and the Perception of Shape, 1992.
  • Shading Flows and Scenel Bundles: A New Approach to Shape from Shading, 1992.
  • Singularities of Principal Direction Fields from 3-D Images, 1992.
  • Inferring Surface Trace and Differential Structure from 3-D Images, 1990.
  • Cytochrome Oxidase and Functional Coding in Primate Striate Cortex: A Hypothesis, 1990.
  • Evaluating the Fractal Dimension of Surfaces, 1989.
  • Trace Inference, Curvature Consistency and Curve Detection, 1989.
  • Radial Projection: An Efficient Update Rule for Relaxation Labeling, 1989.
  • Two stages of Curve Detection Suggest Two Styles of Visual Computation, 1989.
  • Endstopping and Curvature, 1989.
  • Designing Endstopped Neurons for Curvature Selectivity, 1989.
  • Size-Density Constraint and Dot Grouping, 1988.
  • Corner Detection in Curvilinear Dot Grouping, 1988.
  • The Organization of Curve Detection: Coarse Tangent Fields and Fine Spline Coverings, 1988.
  • The Emerging Paradigm of Computational Vision, 1987.
  • Endstopped Neurons in the Visual Cortex as a Substrate for Calculating Curvature, 1987.
  • Tracing Surfaces for Surfacing Traces, 1987.
  • Early Vision, 1986.
  • Early Orientation Selection: Tangent Fields and the Dimensionality of Their Support, 1985.
  • The Diversity of Perceptual Grouping, 1985.
  • Proximiy, Brightness and Contrast Polarity in Dot Grouping, 1983.
  • On the Foundations of Relaxation Labelling Processes, 1983.
  • A Gradient Projection Algorithm for Relaxation Methods, 1983.
  • A Three-Dimensional Edge Detector, 1981.
  • Vertical and Horizontal Processes in Low Level Vision, 1978.
  • An Application of Relaxation Labelling to Line and Curve Enhancement, 1977.

* Mathematical Morphology [Top]

- General :

• ISMM'00: Conference Proceedings, 2000.
• Peter Gritzmann :
  • A Polynomial Time Algorithm for Minkowski Reconstruction, 1995
• Jean Serra et al. :
  • Image Analysis and Mathematical Morphology; Vol. 1, 1982.
  • Image Analysis and Mathematical Morphology; Vol. 2, 1988.

- Morphological Scale-Spaces : see below

- Wave Propagation & Morphological Operators :

• Kimia, B. et al. :
  • Curve Evolution, Wave Propagation, & Mathematical Morphology, 1998.
  • Mathematical Morphology: The Hamilton-Jacobi Connection, 1993.
• Leymarie, F. et al. :
  • Discrete 3D Wave Propagation for Computing Morphological Operations from Surface Patches and Unorganized Points, 2000.
  • Interpenetrating Waves and Multiple Generation Shocks via the CEDT, 1997.
• Maragos, P. et al. :
  • Advances in Differential Morphology: Image Segmentation via Eikonal PDE & Curve Evolution & Reconstruction via Constrained Dilation Flow, 1998.
  • Evolution Equations for Continuous-Scale Morphology, 1992.

- Shape & Skeletons :

• Borgefors et al.:
  • Hierarchical Decomposition of Multiscale Skeletons, 2001.
• Jonker, P.P. et al. :
  • Skeletons in N dimensions using shape primitives, 2002.
  • Morphological Operations on Recursive Neighbourhoods, 2002.
  • Morphological Operations on 3D and 4D Images: From Shape Primitive Detection to Skeletonization, 2000.
  • Mathematical Morphology in 3D images: Comparing 2D & 3D skeletonization algorithms, 1995.
  • On skeletonization algorithms for 2, 3 ... N dimensional images, 1995.
• Maragos, P. et al. :
  • Morphological Skeleton Representation and Coding of Binary Images, 1986.

* Perspective Use & Retrieval [Top]

• J.K.Aggarwal et al. :
  • Mobile robot navigation and scene modeling using stereo fish-eye lens system, 1997.
• Massimo Bertozzi et al. :
  • An extension to the Inverse Perspective Mapping to handle non-flat roads, 1998.
  • Stereo Inverse Perspective Mapping: Theory and Applications, 1998.
• Antonio Guiducci :
  • 3D Road Reconstruction from a Single View, 1998.
• Robert Haralick et al. :
  • Review and analysis of solutions of the 3 point perspective pose estimation problem, 1994.
• E.A.Lumsden :
  • Problems of magnification & minification: An explanation of the distorsions of distance, slant, shape and velocity, 1980.
• Filiberto Pla Bañón et al. :
  • Building perspective models to guide a row crop navigation vehicle, 1997.
• W.J.Wolfe et al. :
  • The Perspective View of 3 Points, 1991.
• A.Zisserman et al. :
  • Extracting Projective Information from Single Views of 3D Point Sets, 1993.

* Reconstruction in 3D : [Top]

- Building Reconstruction:

• W.Förstner's group:
  • Models for Photogrammetric Building Reconstruction, 1995.
  • Object-oriented modeling for the extraction of geometry, texture and reflectance from digital images, 1998.
• L. van Gool's group :
  • Semi-Automatic Modelling of Urban Buildings from High Resolution Aerial Imagery, CGI'98.
  • Automatic 3D Model Acquisition from Uncalibrated Image Sequences, CGI'98.
• J. Malik's group :
  • Modeling and Rendering Architecture from Photographs, SIGGRAPH '96.

* Registration, Matching & Recognition

• Xavier Pennec et al. :
  • Toward a Generic Framework for Recognition Based on Uncertain Geometric Features, 1998.
  • A Framework for Uncertainty and Validation of 3D Registration Methods based on Points and Frames, 1997.

* Relaxation Labelling

• Edwin R. Hancock et al. :
  • Density Propagation for Surface Tracking, 1998.
  • Feature Tracking by Multi-Frame Relaxation, 1995.

* Ridges & Surfaces [Top]

• Aizu University - Shape Modelling Lab. :
  • A Skeleton-based Approach for Detection of Perceptually Salient Features on Polygonal Surfaces, 2002+
  • A 3D Voronoi-based Skeleton and Associated Surface Features, 2001.
  • Ridges and ravines on implicit surfaces, 1998.
  • Ridges and Ravines: A Singularity Approach, 1994.
  • Detection of Ridges and Ravines Based on Caustic Singularities, 1994.
• INRIA projects :
  • Thin Nets Extraction Using a Multi-Scale Approach, 1999.
  • Thin Nets and Crest Lines: Application to Satellite Data & Medical Images, 1997.
  • The Extremal Mesh & the Understanding of 3D Surfaces, 1996 & 1993.
  • Automatic Retrieval of Anatomical Structures in 3D Medical Images, 1995.
  • New feature points based on geometric invariants for 3D image registration, 1996 & 1993.
  • Image surface extremal points, new feature points for image registration, 1993.
  • The Marching lines algorithm: New results and proofs, 1993.
  • The 3D marching lines algorithm and its application to crest lines extraction, 1996 & 1992.
• Giblin, P.J. et al. :
  • Two- & Three-Dimensional Patterns of the Face, 1999.
  • Ridges, Crests & Sub-Parabolic Lines of Evolving Surfaces, 1996.
• Koenderink, Jan et al. :
  • The Structure of Relief, 1998.
  • Two-plus-one-dimensional differential geometry, 1994.
• López Peña, Antonio M. et al. :
  • Evaluation of Methods for Ridge and Valley Detection, 1999.
  • Creaseness-based CT and MR registration : Comparison with the mutual information method, 1999.
  • Creaseness from Level Set Extrinsic Curvature, 1998.
  • Creaseness for CT and MR Image Registration, 1998.
• Yoshihisa Shinagawa et al. :
  • Shape Modeling and Shape Analysis Based on Singularities, 1996.
  • Algorithms for extracting correct critical points & constructing topological graphs from discrete geographical elevation data, 1995.
  • Modeling Contact of Two Complex Objects: with an Application to Characterizing Dental Articulations, 1995.
  • Coding of Object Surfaces Using Atoms, 1994.
  • Surface coding based on Morse theory, 1991.

* Scale-Spaces : [Top]

» Scale-Space'99

- Morphological Scale-Spaces :

• Chin, Roland T. et al. :
  • Morphological Scale Space for 2D Shape Smoothing, 1998.
• Jackway, Paul T. et al. :
  • On the Scale-Space Theorem of Chen and Yan, PAMI 1998.
  • Scale-Space Properties of the Multiscale Morphological Dilation-Erosion, PAMI 1996.
  • Morphological Scale-Space with Application to 3D Object Recognition, Ph.D. thesis, 1995.
• Leymarie, F. et al. :
  • Shape Features Using Curvature Morphology, 1989.
  • Curvature Morphology, 1988.
• Maragos, P. et al. :
  • Morphological Scale-Space Representation with Levelings, 1999.
  • Multiscale Morphological Segmentations Based on Watershed, Flooding, and Eikonal PDE, 1999.
  • Nonlinear PDEs and Numerical Algorithms for Modeling Levelings and Reconstruction Filters, 1999.
• Park, K.R. et al. :
  • Scale-Space Using Mathematical Morphology, PAMI 1996.
• Roerdink, Jos et al. :
  • Diatom contour analysis using morphological curvature scale spaces, 2000.

- Curvature Scale-Spaces :

• G. Dudek et al. :
  • Shape Representation and Recognition from Multiscale Curvature, 1997.

* Semi-Automatic Extraction of Curves & Surfaces [Top]

- Snakes :

• Fua, P. et al. :
  • Imposing Hard Constraints on Deformable Models Through Optimization in Orthogonal Subspaces, CVIU, 1997.
  • Ziplock Snakes, AIC-SRI 1994, and IJCV 1997.
• Leymarie, F. et al. :
  • Tracking Deformable Objects in the Plane Using an Active Contour Model, 1993
• Terzopoulos, D. et al.:
  • T-Snakes: Topology adaptive snakes, 2000.
  • Dynamic 3D models with local and global deformations: Deformable superquadrics, 1990 & 1991.
  • Symmetry-Seeking Models for 3D Object Reconstruction, 1987.
  • Snakes: Active Contour Models, 1987 & 1988.

* Shape - Representation & Generalized Cylinders : [Top]

- General :

• T. Binford :
  • Generalized cylinder representation, 1971 & 1984.
• J. Ponce :
  • Straight Homogeneous Generalized Cylinders, 1990.
• U. Shani & D. Ballard :
  • Splines as Embeddings for Generalized Cylinders, 1984.
• Eklundh, J.-O. et al. :
  • Representing generalized cylinders, 1995.
  • Generalized Cylinders - What are they?, 1994.
• Nevatia, R. et al. :
  • Three-Dimensional Descriptions Based on the Analysis of the Invariant and Quasi-Invariant Properties of Some Curved-Axis Generalized Cylinders, PAMI 1996.

* Shape - Representation & Medial Axes : [Top]

• INRIA/EPIDAURE project :
  • Euclidean Skeletons, G.Malandain & S.F.-Vidal, 1998.
• Bertin, E. et al. :
  • 2D and 3D Voronoi Diagrams, applications in image analysis, PhD, 1994.
• Blum, H. et al. :
  • 3-D Symmetric Axis Coordinates: An Overview & Prospectus, 1979.
  • Shape Description Using Weighted Symmetric Axis Features, 1978.
  • A Geometry for Biology, 1974.
  • Biological Shape and Visual Science, 1973.
  • A Transformation for Extracting New Descriptors of Shape, 1964 & 1967.
  • A Machine for Performing Visual Recognition by Use of Antenna-Propagation Concepts, 1962.
  • An Associative Machine for Dealing with the Visual Field and Some of its Biological Implications, 1961.
• Fitzpatrick, J.M. et al. :
  • On the Generation of Skeletons from Discrete Euclidean Distance Maps, 1996.
• Giblin, P.J. et al. :
  • A Formal Classification of 3D Medial Axis Points and Their Local Geometry, 2004.
  • On the Local Form and Transitions of Symmetry Sets, Medial Axes, and Shocks, 2003.
  • Transitions of the 3D Medial Axis Under a One-Parameter Family of Deformations, 2002.
  • On the Local Form of Symmetry Sets, and Medial Axes, and Shocks in 3D, 2000.
  • On the Local Form and Transitions of Symmetry Sets, and Medial Axes, and Shocks in 2D, 1999.
  • On the Intrinsic Reconstruction of Shape from its Symmetries, 1999.
  • Skeletonization using an Extended Euclidean Distance Transform, 1995.
• Kimia, B. et al. :
  • A Similarity-Based Aspect-Graph Approach to 3D Object Recognition, 2004.
  • Symmetry maps of free-form curve segments via wave propagation, 1999 & 2003.
  • Exact recovery of bisectors as shocks, 2000+.
  • Symmetry maps and symmetry transforms, 2000+.
  • Perceptual organization via symmetry map and symmetry transforms, 1999.
  • Symmetry-based indexing of image databases, 1998.
  • Curve Evolution, Wave Propagation, and Mathematical Morphology, 1998.
  • Mathematical Morphology: The Hamilton-Jacobi Connection, 1992.
  • Parts of Visual Form: Computational Aspects, 1992.
  • Parts of Visual Form: Ecological & Psychological Aspects, 1992.
  • Shapes, Shocks and Deformations I: The Components of Shape & the Reaction-Diffusion Space, 1992.
  • Toward a Computational Theory of Shape, 1991 (PhD).
  • Toward a Computational Theory of Shape: An Overview, 1989 & 1990.
• Leymarie, F. et al. :
  • 3D Shape Registration using Regularized Medial Scaffolds, 2004.
  • Towards Surface Regularization via Medial Axis Transitions, 2004.
  • Computation of the Shock Scaffold for Unorganized Point Clouds in 3D, 2003.
  • Three-Dimensional Shape Representation via Shock Flows, 2003.
  • The Shock Scaffold for Representing 3D Shape, 2001.
  • Discrete 3D Wave Propagation for Computing Morphological Operations from Surface Patches and Unorganized Points, 2000.
  • Interpenetrating Waves and Multiple Generation Shocks via the CEDT, 1997.
  • Simulating the Grassfire Transform Using an Active Contour Model, 1992.
• Leyton, M. et al. :
  • A Generative Theory of Shape, 2001.
  • Group Theory and Architecture 1: Nested Symmetries, 1999.
  • Group Theory and Architecture 2: Why Symmetry/Asymmetry ? 1999.
  • Symmetry, Causality, Mind, 1992.
  • Shape and Causal-History, 1992.
  • Processes at Discontinuites, 1989.
  • Inferring Causal History from Shape, 1989.
  • A Process Grammar for Shape, 1988.
  • 3-D Symmetry-Curvature Duality Theorems, 1987 & 1990.
  • Symmetry-Curvature Duality, 1987.
  • A Limitation Theorem for the Differential Prototypification of Shape, 1987.
• Montanari, U. et al. :
  • A Grey-Weighted Skeleton, 1970.
  • Continuous Skeletons from Digitized Images, 1969.
  • A Method for Obtaining Skeletons Using a Quasi-Euclidean Distance, 1968.
• Montanvert, A, Attali, D et al. :
  • Delaunay Conforming Iso-surface, Skeleton Extraction and Noise Removal, 2001+
  • Computing and Simplifying 2D and 3D Continuous Skeletons, 1997.
  • r-Regular Shape Reconstruction from Unorganized Points, 1997.
  • Skeletal Reconstruction of Branching Shapes, 1996.
  • Modeling noise for a better simplification of skeletons, 1996.
  • Squelette et Graphe de Voronoi 2D et 3D, PhD thesis of D.Attali, 1995.
  • Using polyballs to approximate shapes and skeletons, 1994.
• Nackman, L.R. et al. :
  • Visualization of Three-Dimensional Delaunay Meshes, 1997.
  • Automatic Mesh Generation Using The Symmetric Axis Transformation Of Polygonal Domains, 1992.
  • Efficient Delaunay triangulation using rational arithmetic, 1991.
  • Three-Dimensional Shape Description Using The Symmetric Axis Transform I: Theory, 1985.
  • Two-Dimensional Critical Point Configuration Graphs, 1984.
  • Curvature Relations in Three-Dimensional Symmetric Axes, 1982.
  • Three-Dimensional Shape Description Using the Symmetric Axis Transform, PhD, 1982.
• Ogniewicz, R. L. et al. :
  • Hierarchic Voronoi Skeletons, 1995.
  • The Skeleton-Space & it Application to Shape Description & Decomposition, 1994.
  • Voronoi skeletons: Theory and applications, 1992.
  • Skeletons with Euclidean Metric & Correct Topology & their Application in Object Recognition & Document Analysis, 1990.
  • Isolation and Identification of Abutting and Overlapping Objects in Binary Images, 1989.
• Pudney, C. :
  • 3D Voronoi Skeletons: Computation, Topological Simplification & Application, 1999+.
  • Distance-Ordered Homotopic Thinning: A Skeletonization Algorithm for 3D Digital Images, 1998.
  • Feature detection in volumetric images via local energy & ordered thinning, 1998.
  • Distance-Based Skeletonization of 3D Images, 1996.
• Siddiqi, K. et al. :
  • Hamilton-Jacobi Skeletons, 1999 & 2002.
• van Tonder, Gert et al. :
• Flexible Computation of Shape Symmetries Within the Maximal Disk Paradigm, 2003.
• The patchwork engine: image segmentation from shape symmetries, 2000.
• Xia, Frank et al. :
  • Skeletonization via the Realization of the Fire Front's Propagation and Extinction in Digital Binary Shapes, 1989.
• Zhu, Song Chun :
  • Stochastic Jump-Diffusion process for computing Medial Axes in Markov Random Fields, 1999.
  • Embedding Gestalt Laws in Markov Random Fields, 1999.
  • Stochastic Computation of Medial Axis in Markov Random Fields , 1998.
  • Embedding Gestalt Laws in the Markov Random Fields, 1998.
  • FORMS: A Flexible Object Recognition and Modeling System, 1996.
  • Statistical and Computational Theories for Image Segmentation, Texture Modeling, and Object Recognition, 1996.

* Shape - Representation & Curve Skeletons : [Top]

• Section in Computer Graphics: Shape - Reconstruction, Animation & Deformation via Skeletons
• J. Chuang et al. :
  • Shape Matching and Recognition of 3D Object Using Potential Fields, 2001.
  • Skeletonization of Three-Dimensional Object Using Generalized Potential Field, 2000.
  • Shape Representation Using a Generalized Potential Field Model, 1997.
• G. Sanniti di Baja et al. :
  • Characterising 3D Objects by Shape and Topology, 2003.
  • Simplifying curve skeletons in volume images, 2003.
  • Using distance transforms to decompose 3D discrete objects, 2002.
  • Curve skeletonization of surface-like objects in 3D images guided by voxel classification, 2002.
  • A new shape descriptor for surfaces in 3D images, 2002.
  • Hierarchical Decomposition of Multiscale Skeletons, 2001.
  • Shape and topology preserving grey-value pyramids for multiresolution skeletonization, 2001.
  • Computing Skeletons in Three Dimensions, 1999.
  • Finding Local Maxima in a Pseudo-Euclidean Distance Transform, 1988.
• D. Silver et al. :
  • Skeleton Based Shape Matching and Retrieval, 2003.
• H. Yang et al. :
  • Skeletonization: An Electrostatic Field-Based Approach, 1998.
  • Multiscale Skeletonization: An Electrostatic Field-Based Approach, 1994.

* Surface Segmentation [Top]

- Watersheds :

• Ross T. Whitaker et al. :
  • Partitioning 3D Surface Meshes Using Watershed Segmentation, 1999.

* Autonomous Agents : [Top]

• S.Rizzi et al. :
  • Dynamic Clustering of Maps in Autonomous Agents, PAMI 1996.

* Cellular Automata :

• A. Adamatzky et al.:
  • Identification of cellular automata, 1994.
• J. Case et al.:
  • Lattice computers for approximating Euclidean space, 2001.
  • Spherical Wave Front Generation in Lattice Computers, 1994.
• D. Griffeath et al.:
  • Cellular Automaton Growth on Z²: Theorems, Examples, and Problems, 1998.
• S. K. Numrich et al.:
  • A Cellular Automaton Methodology for Solving the Wave Equation, 1993.
• K. Preston et al.:
  • Modern cellular automata: Theory & applications, 1984.

* General :

• Topological Models in Biology, René Thom, 1970.

* Haptics :

• Okamura, A. M. et al.:
  • Interactive Haptic Rendering of Deformable Surfaces Based on the Medial Axis Transform, 2002.
  • Uniting Haptic Exploration and Display, 2001+
  • Haptic Exploration of Unknown Objects, 2000 (PhD).
• Wolter, F.-E. et al. :
  • A Vibrotactile Approach to Tactile Rendering, 2006+.
  • Haptical Rendering of Rough Surfaces using their Fractal Dimension, 1999.

* Heuristic Search :

• Alberto Martelli et al. :
  • On the complexity of admissible search algorithms, 1977.
  • Dynamic programming as graph searching: An algebraic approach, with Stefania Gnesi & Ugo Montanari, 1981.

* Models of Brain Functions :

• Blum, H. :
  • Global Brain Function: A Model Using Autonomous Broadcast Elements, 1970.
  • A New Model of Global Brain Function, 1967.

* Neural Networks :

• Martinetz, Thomas et al.:
  • Topology Representing Networks, 1994.

Books on (Quantitative) Finance from Springer-Verlag : www.springer.de/math/finance/

* Investment Banking :

• Liaw, K. Thomas :
  • The Business of Investment Banking, 1999.
• Williamson, J. Peter ed. :
  • The Investment Banking Handbook, 1988.

* Risk Management :

Books on risks management (theory) : www.riskbooks.com

• Alexander, Carol et al. :
  • Risk Management and Analysis, 1998, vol. 1 & 2, .
• Bessis, J. :
  • Risk Management in Banking, 1998.
• Brockhaus, Oliver et al. :
  • Equity Derivatives and Market Risk Models, 2000.
  • Modelling and Hedging Equity Derivatives, 1999.

• Computational Cartography
  
• Computational Geography
• Sensor Network Routing
  
• Surface Networks
  

* Computational Cartography :

• C. Gold et al. :
• Map Generalization by Skeleton Retraction, 2001.
• Terrain Reconstruction from Contours by Skeleton Construction, 2000.
• Primal/Dual Spatial Relationships and Applications, 2000.
  
• D. Keim et al. :
• Medial-Axis-Based Cartograms, 2005.
• F. Leymarie et al.:
• Towards the Automation of Road Extraction Processes, 1996.
• From Manual to Automatic Stereoplotting: Evaluation of Different Road Network Capture Processes, 1996.
• M. McAllister et al. :
• Medial Axis Generalization of River Networks, 2000.
• The Computational Geometry of Hydrology Data in Geographic Information Systems, 2000.
• Extracting Consistent Watersheds from Digital River and Elevation Data, 1999.

* Computational Geography : [Top]

• A. Car et al. :

• Hierarchical Spatial Reasoning: A GeoComputation Method, 1998.
  
• Hierarchical Spatial Reasoning: Theoretical Consideration and its Application to Modeling Wayfinding, 1997.

• J. Lee et al. :
• Emergency Response After 9/11: The Potential of Real-Time 3D GIS for Quick Emergency Response in Micro-Spatial Environments, 2005.
  
• A Spatial Access-Oriented Implementation of a 3-D GIS Topological Data Model for Urban Entities, 2004.
• 3D Data Model for Representing Topological Relations of Urban Features, 2001.
  
• F. Leymarie et al. :
  
• Exploitation of 3D Georeferenced Datasets in a GIS, 1997.
  
• Applications of Virtual Reality: CyberMonument & CyberCity, 1997.
• W. Warntz et al. :
  • Concepts & Applications - Spatial Order, in "Geography & the Properties of Surfaces" Series, 1967.
  • The Sandwich Theorem - A Basic One, June 1971.

* Sensor Network Routing :

• S. Funke et al. :
• Topological Hole Detection in Wireless Sensor Networks and its Applications, 2005.
  
• J. Gao et al. :
• MAP: Medial Axis based Geometric Routing in Sensor Networks, 2005.
• Locating and Bypassing Holes in Sensor Networks, 2005.
  

* Surface Networks :

• J. L. Pfaltz et al.:
  • Surface networks, 1976.
• Sanjay Rana et al. :
  • Topological Data Structures for Surfaces: An Introduction for Geographical Information Science, 2004.
• J.D. Woods et al.:
  • Constructing Weighted Surface Networks for the Representation and Analysis of Surface Topology, 2000.

* Geometry - General: [Top]

• J.L.Coolidge :
  • A Treatise on the Circle and the Sphere, 1916 .
• David Hilbert & Cohn-Vossen :
  • Geometry and the Imagination , 1932.
• Salmon, George :
  • A treatise on the analytic geometry of three dimensions, v.I, 7th ed., 1958 & v.II, 5th ed., 1914+

* Discrete Geometry :

• Bang-Jensen & Gutin:
  • Digraphs: Theory, Algorithms, and Applications, 2001.
• Berge, C. :
  • Hypergraphs. Combinatorics of finite sets, 1989.
  • Graphs and hypergraphs, 1976.
• Bonnington & Little :
  • The Foundations of Topological Graph Theory, 1995.
• Conway & Sloane:
  • Sphere Packings, Lattices and Groups, 1998.
• Gross & Yellen:
  • Graph theory and its applications, 1999.

* Differential Geometry :

• Berger, M. & Costiaux, B. :
  • Differential Geometry: Manifolds, Curves, and Surfaces, 1988.
• Bouligand, G.:
  • Introduction a La Geometrie Infinitesimale Directe, 1932.
• Burke, William:
  • Applied Differential Geometry, 1985.
• do Carmo, M.:
  • Differential Geometry of Curves and Surfaces, 1976.
• Eisenhart, L.P.:
  • A Treatise on the Differential Geometry of Curves and Surfaces, 1909.
  • Transformations of Surfaces, 1923.
• Fedenko A., et al. :
  • Recueil d'Exercices de Geometrie Differentielle, 1982.
• Kobayashi, S.:
  • Transformation Groups in Differential Geometry, 1972.
• Nutbourne, A.W. & Martin, R.R. :
  • Differential Geometry Applied to Curve and Surface Design, 1988.
• O'Neill, B.:
  • Elementary Differential Geometry, 1966.
  • Elementary Differential Geometry, 1997.
• Pogorelov, A.V.:
  • Differential Geometry, 1958.
• Spivak, M.:
  • A Comprehensive Introduction to Differential Geometry, 1979.
• Sternberg, S.:
  • Lectures on Differential Geometry, 1983.
• Weatherburn, C.E.:
  • Differential Geometry of Three Dimensions v.1, 1927.
  • Differential Geometry of Three Dimensions v.2, 1930.
• White, B.:
  • Some Recent Developments in Differential Geometry, 1989.

* Projective & Perspective Geometry : [Top]

• Jim Blinn :
  • The Cross Ratio, 1998.
• J.-H. Lambert :
  • La Place de J.-H. Lambert (1728-1777) dans l'Histoire de la Perspective, par Roger Laurent, 1987.
• Brook Taylor :
  • Brook Taylor's work on Linear Perspective, by K. Andersen, 1992.

* Topology - General :

• Milnor, John Willard:
  • Morse Theory, 1963

* Workshops & Conferences :

• DIMACS Workshop on Medical Applications in Computational Geometry, April 2003.

* Atlases : [Top]

• INRIA teams:
  • A scheme for automatically building three-dimensional morphometric anatomical atlases: application to a skull atlas, G. Subsol et al., 1998.
• UCLA team :
  • Detection & Mapping of Abnormal Brain Structure with a Probabilistic Atlas of Cortical Surfaces, Paul Thomson et al., 1997.

* Image Segmentation :

• Kimia, B.B. et al. :
• Segmentation of carpal bones from 3D CT images using skeletally coupled deformable models, 1998, 2003.

* Growth & Shape Analysis : [Top]

• Andresen, P.R. et al. :
  • Surface-bounded Growth Modeling Applied to Human Mandibles, PhD, 1999.
  • 4D Shape-Preserving Modelling of Bone Growth, MICCAI'98.
  • Feature Displacement Interpolation, ICIP'98.
• Durikovic, R. et al. :
  • Growth Simulation of Human Embryo Brain, 2001.
• Eils, R. et al. :
  • Aspects of 3D chromosome reorganization during the onset of human male meiotic prophase, 1998.
  • 3D reconstruction of painted human interphase chromosomes: Active & inactive X-chromosome territories have similar volumes but differ in shape & surface structure, 1996.
  • Application of Confocal Laser Microscopy & 3D Voronoi Diagrams for Volume & Surface Estimates of Interphase Chromosomes, 1995.
• ETH-Zurich group :
  • 3D Voronoi Skeletons and Their Usage for the Characterization and Recognition of 3D Organ Shape, M. Näf et al., 1997.
  • Characterization and Recognition of 3D Organ Shape in Medical Image Analysis Using Skeletonization, M. Näf et al., 1996.
  • Shape Characterization by Local Symmetries, G. Szekely, 1996.
• Y. Kergosien et al. :
  • Topology & Visualization: From Generic Singularities to Combinatorial Shape Modeling, 1992.
  • Generic sign systems in medical imaging, 1991.
• Mangin, J.-F. et al. :
  • Object-Based Morphometry of the Cerebral Cortex, 2004.
  • Shape bottlenecks and conservative flow systems, 1996.
  • From 3D magnetic resonance images to structural representations of the cortex topography using topology preserving deformations, 1995.
• Pizer, S.M. et al. :
  • Multiscale Medial Loci and Their Properties, 2003.
  • Untangling the Blum Medial Axis Transform, 2003.
  • Deformable M-Reps for 3D Medical Image Segmentation, 2003.
  • Automatic and Robust Computation of 3D Medial Models Incorporating Object Variability, 2003.
  • M-Reps: A New Object Representation for Graphics, 1999.
  • Medial Node Models to identify and Measure Objects in Real-Time 3D Echocardiography, 1999.
  • Marching optimal-parameter ridges: An algorithm to extract shape loci in 3D images, MICCAI'98.
  • 3D/2D Registration via Skeletal Near Projective Invariance in Tubular Objects, MICCAI'98.
  • Volume Rendering Guided by Multiscale Medial Models, 1997.
  • Marching Cores: A Method for Extracting Cores from 3D Medical Images, 1996.

* Registration : [Top]

• Hill, Derek L.G. et al. :
  • Deformations incorporating rigid structures, 1997.
• INRIA teams:
  • Image matching as a diffusion process: an analogy with Maxwell's demons, J.-P. Thirion, 1998.
• Kimia et al.:
  • 2D-3D Registration Based on Shape Matching, 2000.
• M.A. Viergever et al. :
  • A survey of medical image registration, 1998.
• Pizer, S.M. et al. :
  • 3D/2D Registration via Skeletal Near Projective Invariance in Tubular Objects, MICCAI'98.

* Virtual Endoscopy : [Top]

• Kaufman, A. et al. :

• Penalized-Distance Volumetric Skeleton Algorithm, 2001.
• Distance-Field Based Skeletons for Virtual Navigation, 2001
  
• 3D skeleton & centerline generation based on an approximate minimum distance field, 1998.

• D.S. Paik et al. :
  • Automated flight path planning for virtual endoscopy, 1998.

* Musical composition

• Michael Leyton:
  • Musical Works are Maximal Memory Stores, 2003+.

* Music-from-motion

• James F. O'Brien et al. :
  • Synthesizing sounds from rigid-body simulations, 2002.

* Rendering - Sound : [Top]

• Thomas Funkhouser et al. :
  • A Beam Tracing Approach to Acoustic Modeling for Interactive Virtual Environments, SIGGRAPH'98.

* Visualization - Music : [Top]

• J. Foote et al. :
  • Automatic Music Summarization via Similarity Analysis, 2002.
  • Visualizing music and audio using self-similarity, 1999.
• Sean M. Smith et al. :
  • A visualization of music, 1997.

* General : [Top]

• Leyton, M. et al. :
  • Nested Structures of Control: An Intuitive View, 1987.
  • A Theory of Information Structure II: A Theory of Perceptual Organization, 1986.
  • A Theory of Information Structure I: General Principles, 1986.
  • Principles of Information Structure Common to Six Levels of the Human Cognitive System, 1986.
  • Generative Systems of Analyzers, 1985.
  • Perceptual Organization as Nested Control, 1984.

• van Tonder et al. :
• From image segmentation to anti-textons, 2000.
• Bottom-up clues in target finding: Why a dalmatian may be mistaken for an elephant, 2000.

* Aesthetics :

• Leymarie, F.F. et al.:
• Aesthetic Computing and Shape, 2006.
  
• Leyton, M. et al. :
• The Foundations of Aesthetics, 2006.
  

* Perspective : [Top]

• M.H. Pirenne
  • Optics, Painting & Photography, 1970.
• H.A. Sedgewick :
  • The geometry of spatial layout in pictorial representation, 1980.

* General : [Top]

• K.B.Atkinson :
  • Close Range Photogrammetry and Machine Vision , 1996
• J.R.Williamson & M.H.Brill :
  • Dimensional Analysis through Perspective , 1990

* Visual Arts & Representation : [Top]

• R. Arnheim :
  • Art and Visual Perception: A Psychology of the Creative Eye, 1974.
  • Entropy and Art - an Essay on Disorder and Order, 1971.
  • New Essays on the Psychology of Art, 1986.
  • The Power of the Center: A Study of Composition in the Visual Arts, 1988.
• Leyton, M. et al. :  
  • Chapter 8 in "Symmetry, Causality, Mind", 1992.
• J. Willats :
  • Art and representation : New principles in the analysis of pictures, 1997.

* Drawing in Perspective : [Top]

• W. A. Bärtschi :
  • Linear Perspective: its history, directions for construction, and aspects in the environment and in the fine arts, 1981.
• F.D.K.Ching :
  • Drawing, a creative process, 1990.
• A.W. Griffin & V. Alvarez-Brunicardi
  
• Introduction to Architectural Presentation Graphics, 1998.
• 
  

* Digital Sculpting :

• A. Willis et al. :
• Computational Schemes for Biomimetic Sculpture, 2005.
• Surface Sculpting with Stochastic Deformable 3D Surfaces, 2004.