Last Updated: April 9, 2007

3D Shape Representation via Shock Flows

Frederic Fol Leymarie

Ph.D. Thesis, January 2003
Brown University, Division of Engineering, Providence, R.I., U.S.A.

Committee: Benjamin B. Kimia (advisor), David Mumford, Franco P. Preparata

Download the manuscript: click here
Notes on the Scaffold Hierarchy:

Table of Content

Introduction (p.1)
Background on Medial Axis based Shape Representations (p.19)
The Shock Scaffold (p.34)
Lagrangian Computations for Unorganized Point Clouds (p.71)
Eulerian Computations for Unorganized Point Clouds (p.111)
Scaffold Segregation and Surface Recovery (p.147)
Extensions: Scaffold of Unorganized Polygonal Clouds (p.179)
Conclusion (p.218)

   A. Adaptive Boxes for Bucketing (p.221)
   B. Dynamics of Creation of Shock Sheets for Polygonal Generators (p.227)

        Bibliography (pp.234-271)