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FOCM
2002
108views more  FOCM 2002»
14 years 11 months ago
Geometric Integration Algorithms on Homogeneous Manifolds
Given an ordinary differential equation on a homogeneous manifold, one can construct a "geometric integrator" by determining a compatible ordinary differential equation ...
Debra Lewis, Peter J. Olver
CVIU
2008
114views more  CVIU 2008»
14 years 12 months ago
On geometric variational models for inpainting surface holes
Geometric approaches for filling-in surface holes are introduced and studied in this paper. The basic idea is to represent the surface of interest in implicit form, and fill-in th...
Vicent Caselles, Gloria Haro, Guillermo Sapiro, Jo...
NIPS
2003
15 years 1 months ago
A Computational Geometric Approach to Shape Analysis in Images
We present a geometric approach to statistical shape analysis of closed curves in images. The basic idea is to specify a space of closed curves satisfying given constraints, and e...
Anuj Srivastava, Xiuwen Liu, Washington Mio, Eric ...
IJCV
2006
165views more  IJCV 2006»
14 years 11 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
SIGGRAPH
1992
ACM
15 years 3 months ago
Generative modeling: a symbolic system for geometric modeling
This paper discusses a new, symbolic approach to geometric modeling called generative modeling. The approach allows specification, rendering, and analysis of a wide variety of sha...
John M. Snyder, James T. Kajiya