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ICIP
2006
IEEE
14 years 9 months ago
Diffusion on Statistical Manifolds
This paper presents a new diffusion scheme on statistical manifolds for the detection of texture boundaries. The technique derives from our previous work, in which 2-dimensional R...
Sang-Mook Lee, A. Lynn Abbott, Neil A. Clark, Phil...
AMDO
2006
Springer
13 years 11 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, ...
ICML
2007
IEEE
14 years 8 months ago
Non-isometric manifold learning: analysis and an algorithm
In this work we take a novel view of nonlinear manifold learning. Usually, manifold learning is formulated in terms of finding an embedding or `unrolling' of a manifold into ...
Piotr Dollár, Serge J. Belongie, Vincent Ra...
FOCM
2002
97views more  FOCM 2002»
13 years 7 months ago
On the Riemannian Geometry Defined by Self-Concordant Barriers and Interior-Point Methods
We consider the Riemannian geometry defined on a convex set by the Hessian of a selfconcordant barrier function, and its associated geodesic curves. These provide guidance for the...
Yu. E. Nesterov, Michael J. Todd
ECCV
2010
Springer
13 years 12 months ago
Manifold Valued Statistics, Exact Principal Geodesic Analysis and the Effect of Linear Approximations
Manifolds are widely used to model non-linearity arising in a range of computer vision applications. This paper treats statistics on manifolds and the loss of accuracy occurring wh...