Frederic Fol Leymarie
Ch. 14 in Fishwick, P. (Ed), Aesthetic Computing, MIT Press, 2006
(expected).
Summary
In this chapter we
address the problem of three-dimensional (3D) shape
representation:
aesthetic principles of shape, such as proposed by the Gestalt theory
of perception (Wertheimer 1923, Koffka 1935), lead to symmetry-based
representations for which we present a hierarchical model taking the
form of a 3D graph: that is, a virtual scaffolding in space
made of special nodes linked by special curves. Together, these nodes
and linking curves make explicit certain symmetries of the original
object, as well as important shape features, such as: surface ridges
(e.g., of the nose of a face), corners, main axial curves
(e.g., of fingers), bumps and indentations. The same
representation can be applied to the surrounding space, thus also
permitting to characterize the “shape” of the voids between
objects (e.g., the distance and interaction between dancers or
molecules).
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Frederic Leymarie, 2005.
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