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CGF
2008
118views more  CGF 2008»
13 years 4 months ago
Manifold-valued Thin-Plate Splines with Applications in Computer Graphics
We present a generalization of thin-plate splines for interpolation and approximation of manifold-valued data, and demonstrate its usefulness in computer graphics with several app...
Florian Steinke, Matthias Hein, Jan Peters, Bernha...
ISBI
2006
IEEE
14 years 5 months ago
von Mises-Fisher mixture model of the diffusion ODF
High angular resolution diffusion imaging (HARDI) permits the computation of water molecule displacement probabilities over the sphere. This probability is often referred to as th...
Tim McGraw, Baba C. Vemuri, Robert Yezierski, Thom...
IJCV
2006
165views more  IJCV 2006»
13 years 4 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
CVPR
2006
IEEE
14 years 6 months ago
Affine Invariance Revisited
This paper proposes a Riemannian geometric framework to compute averages and distributions of point configurations so that different configurations up to affine transformations ar...
Evgeni Begelfor, Michael Werman
SIAMNUM
2011
154views more  SIAMNUM 2011»
12 years 11 months ago
Continuous Mesh Framework Part I: Well-Posed Continuous Interpolation Error
In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density and stretching of anisotropic meshes. But, such structures are only con...
Adrien Loseille, Frédéric Alauzet