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FOCM
2002
108views more  FOCM 2002»
13 years 7 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»
13 years 7 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
13 years 9 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»
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
SIGGRAPH
1992
ACM
13 years 11 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