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» Statistical Computing on Manifolds: From Riemannian Geometry...
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ETVC
2008
9 years 4 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
AMDO
2006
Springer
9 years 6 months ago
Principal Spine Shape Deformation Modes Using Riemannian Geometry and Articulated Models
We present a method to extract principal deformation modes from a set of articulated models describing the human spine. The spine was expressed as a set of rigid transforms that su...
Jonathan Boisvert, Xavier Pennec, Hubert Labelle, ...
JMIV
2006
185views more  JMIV 2006»
9 years 2 months ago
Intrinsic Statistics on Riemannian Manifolds: Basic Tools for Geometric Measurements
In medical image analysis and high level computer vision, there is an intensive use of geometric features like orientations, lines, and geometric transformations ranging from simp...
Xavier Pennec
MICCAI
2009
Springer
10 years 3 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 ...
ICIP
2008
IEEE
9 years 9 months ago
Effects of curvature on the analysis of landmark shape manifolds
Shape spaces can be endowed with the structure of Riemannian manifolds; this allows one to compute, for example, Euler-Lagrange equations and geodesic distance for such spaces. Un...
Mario Micheli
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