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» Riemannian Manifold Learning
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ICIP
2006
IEEE
15 years 11 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...
67
Voted
AMDO
2006
Springer
15 years 1 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
15 years 10 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...
65
Voted
FOCM
2002
97views more  FOCM 2002»
14 years 9 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
15 years 2 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...