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» A Riemannian Framework for Tensor Computing
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MICCAI
2009
Springer
14 years 5 months ago
A Riemannian Framework for Orientation Distribution Function Computing
Compared with Diffusion Tensor Imaging (DTI), High Angular Resolution Imaging (HARDI) can better explore the complex microstructure of white matter. Orientation Distribution Functi...
Jian Cheng, Aurobrata Ghosh, Tianzi Jiang, Rachid ...
MICCAI
2005
Springer
14 years 6 months ago
Fast and Simple Calculus on Tensors in the Log-Euclidean Framework
Computations on tensors have become common with the use of DT-MRI. But the classical Euclidean framework has many defects, and affine-invariant Riemannian metrics have been propose...
Vincent Arsigny, Pierre Fillard, Xavier Pennec, Ni...
CVPR
2007
IEEE
14 years 7 months ago
A Graph Cut Approach to Image Segmentation in Tensor Space
This paper proposes a novel method to apply the standard graph cut technique to segmenting multimodal tensor valued images. The Riemannian nature of the tensor space is explicitly...
Allen Tannenbaum, James G. Malcolm, Yogesh Rathi
ETVC
2008
13 years 7 months ago
Statistical Computing on Manifolds: From Riemannian Geometry to Computational Anatomy
Computational anatomy is an emerging discipline that aims at analyzing and modeling the individual anatomy of organs and their biological variability across a population. The goal ...
Xavier Pennec
ECCV
2008
Springer
14 years 7 months 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...