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IJCGA
2010
99views more  IJCGA 2010»
13 years 8 months ago
A Covering Projection for Robot Navigation under Strong anisotropy
Path planning can be subject to different types of optimization. Some years ago a German researcher, U. Leuth
Andrea Anghinolfi, Luca Costa, Massimo Ferri, Enri...
TVCG
2010
157views more  TVCG 2010»
13 years 9 months ago
Metric-Driven RoSy Field Design and Remeshing
—Designing rotational symmetry fields on surfaces is an important task for a wide range of graphics applications. This work introduces a rigorous and practical approach for auto...
Yu-Kun Lai, Miao Jin, Xuexiang Xie, Ying He 0001, ...
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 9 months ago
Discrete Laplace-Beltrami Operator Determines Discrete Riemannian Metric
The Laplace-Beltrami operator of a smooth Riemannian manifold is determined by the Riemannian metric. Conversely, the heat kernel constructed from its eigenvalues and eigenfunctio...
Xianfeng David Gu, Ren Guo, Feng Luo 0002, Wei Zen...
IJCV
2006
165views more  IJCV 2006»
13 years 10 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
UAI
2003
14 years 5 days ago
Learning Riemannian Metrics
We consider the problem of learning a Riemannian metric associated with a given differentiable manifold and a set of points. Our approach to the problem involves choosing a metric...
Guy Lebanon
IMAMS
2007
245views Mathematics» more  IMAMS 2007»
14 years 7 days ago
Discrete Surface Ricci Flow: Theory and Applications
Conformal geometry is in the core of pure mathematics. Conformal structure is more flexible than Riemaniann metric but more rigid than topology. Conformal geometric methods have p...
Miao Jin, Junho Kim, Xianfeng David Gu
EMMCVPR
2005
Springer
14 years 4 months ago
Geodesic Image Matching: A Wavelet Based Energy Minimization Scheme
In this paper, we first detail the geodesic matching of images which consists in minimizing an energy resulting from a Riemannian metric on a manifold of images, which itself come...
Laurent Garcin, Laurent Younes
ICCV
2005
IEEE
14 years 4 months ago
Conformal Metrics and True "Gradient Flows" for Curves
We wish to endow the manifold M of smooth curves in lRn with a Riemannian metric that allows us to treat continuous morphs (homotopies) between two curves c0 and c1 as trajectorie...
Anthony J. Yezzi, Andrea Mennucci
GMP
2006
IEEE
155views Solid Modeling» more  GMP 2006»
14 years 4 months ago
Geometric Accuracy Analysis for Discrete Surface Approximation
In geometric modeling and processing, computer graphics and computer vision, smooth surfaces are approximated by discrete triangular meshes reconstructed from sample points on the...
Junfei Dai, Wei Luo, Shing-Tung Yau, Xianfeng Gu
ECCV
2008
Springer
15 years 21 days ago
Anisotropic Geodesics for Perceptual Grouping and Domain Meshing
This paper shows how computational Riemannian manifold can be used to solve several problems in computer vision and graphics. Indeed, Voronoi segmentations and Delaunay graphs comp...
Sébastien Bougleux, Gabriel Peyré, L...