Last update: March 26, 2004
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Shape is multifaceted in that seemingly conflicting views are possible, i.e., as an outline versus a region, as a composition of parts vs a result of growth and deformations, as a global percept vs a composition of local features, etc. This fascinating collage of views has led to a varied set of representations for shape. Yet, none of the singular approaches have proved sufficient for recognition and perception. We have argued that in a world of change, deformations play a key role in shape representation and to capture a rich space of deformations all of these views must be simultaneously captured. We have developed such a framework (both in 2D and 3D) by representing shape as the set of singularities (shocks) that arise in a rich space of shape deformations.
This gate is an entry point to a few web-pages giving you an overview of our recent work:
Older pages (illustrates our progress) :
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