Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
Abstract : This article proposes the use of manifolds to describe the non-local interactions of geometric structures in signals and images. We focus on the high dimensional set of patches extracted from signals and images. The manifold structure of such sets is detailed for various ensembles suitable for natural signals, images and textures modeling. These manifolds offer a low-dimensional parameterization of geometric patterns that can be found in such datasets. Diffusions over these manifolds are equivalent to recently proposed non-local processing methods. These algorithms are related to thresholding in an orthogonal basis adapted to the geometry of the underlying signal.
 
 
Manifold Models for Signals and Images
PEYRE Gabriel
2007-14
26-04-2007
 
Université de PARIS - DAUPHINE
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