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Stable Topological Signatures for Points on 3D Shapes
(The Eurographics Association and John Wiley & Sons Ltd., 2015)
Comparing points on 3D shapes is among the fundamental operations in shape analysis. To facilitate this task, a great number of local point signatures or descriptors have been proposed in the past decades. However, the ...
An Operator Approach to Tangent Vector Field Processing
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
In this paper, we introduce a novel coordinate-free method for manipulating and analyzing vector fields on discrete surfaces. Unlike the commonly used representations of a vector field as an assignment of vectors to the ...
Stable Region Correspondences Between Non-Isometric Shapes
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
We consider the problem of finding meaningful correspondences between 3D models that are related but not necessarily very similar. When the shapes are quite different, a point-to-point map is not always appropriate, so our ...
A Condition Number for Non-Rigid Shape Matching
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
Despite the large amount of work devoted in recent years to the problem of non-rigid shape matching, practical methods that can successfully be used for arbitrary pairs of shapes remain elusive. In this paper, we study the ...