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Mathematical Image Processing, Bergounioux (Ed.) (2011) 41-57
A second order model for 3D-texture extraction
Maïtine Bergounioux 1, Minh Phuong Tran 1
(05/2011)

In this paper we present the 3D-implementation of a second-order model for texture extraction that has been fully described in \cite{BP}. Numerical experimentation has been performed for 2D-images. We generalize the discrete model to the 3D case. In particular we describe the whole discretization process. In addition, we add an algorithmic modification that improves texture extraction using a modified Hessian matrix. We end with numerical examples arising in biomedical imaging
1 :  Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
Université d'Orléans – CNRS : UMR7349
Mathématiques/Optimisation et contrôle

Informatique/Traitement des images
Variational method – Image processing – Texture extraction
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