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» Diffusion on Statistical Manifolds
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ICIP
2008
IEEE
14 years 2 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
CVPR
2007
IEEE
14 years 9 months ago
Dimensionality Reduction and Clustering on Statistical Manifolds
Sang-Mook Lee, A. Lynn Abbott, Philip A. Araman
GI
2009
Springer
13 years 5 months ago
The Differential Geometric View of Statistics and Estimation
: Statistics and estimation theory is enriched with techniques derived from differential geometry. This establishes the increasing topic of information geometry. This allows new in...
Felix Opitz
ECCV
2002
Springer
14 years 9 months ago
Constrained Flows of Matrix-Valued Functions: Application to Diffusion Tensor Regularization
Nonlinear partial differential equations (PDE) are now widely used to regularize images. They allow to eliminate noise and artifacts while preserving large global features, such as...
Christophe Chefd'Hotel, David Tschumperlé, ...
MICCAI
2006
Springer
14 years 8 months ago
Towards a Statistical Atlas of Cardiac Fiber Structure
We propose here a framework to build a statistical atlas of diffusion tensors of canine hearts. The anatomical images of seven hearts are first non-rigidly registered in the same r...
Jean-Marc Peyrat, Maxime Sermesant, Xavier Pennec,...