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» Intrinsic Geometric Scale Space by Shape Diffusion
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COMPGEOM
2008
ACM
13 years 9 months ago
Towards persistence-based reconstruction in euclidean spaces
Manifold reconstruction has been extensively studied for the last decade or so, especially in two and three dimensions. Recent advances in higher dimensions have led to new method...
Frédéric Chazal, Steve Oudot
ICCV
2007
IEEE
14 years 9 months ago
Ricci Flow for 3D Shape Analysis
Ricci flow is a powerful curvature flow method in geometric analysis. This work is the first application of surface Ricci flow in computer vision. We show that previous methods ba...
Xianfeng Gu, Sen Wang, Junho Kim, Yun Zeng, Yang W...
IJSM
2007
103views more  IJSM 2007»
13 years 7 months ago
Posture Invariant Correspondence of Incomplete Triangular Manifolds
We present an approach to find dense point-to-point correspondences between two deformed surfaces corresponding to different postures of the same nonrigid object in a fully autom...
Stefanie Wuhrer, Chang Shu, Prosenjit Bose, Zouhou...
NIPS
2001
13 years 9 months ago
Laplacian Eigenmaps and Spectral Techniques for Embedding and Clustering
Drawing on the correspondence between the graph Laplacian, the Laplace-Beltrami operator on a manifold, and the connections to the heat equation, we propose a geometrically motiva...
Mikhail Belkin, Partha Niyogi
IJCV
2006
165views more  IJCV 2006»
13 years 7 months ago
A Riemannian Framework for Tensor Computing
Tensors are nowadays a common source of geometric information. In this paper, we propose to endow the tensor space with an affine-invariant Riemannian metric. We demonstrate that ...
Xavier Pennec, Pierre Fillard, Nicholas Ayache