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Multifractal-based texture segmentation using variational procedure

Frecon, Jordan and Pustelnik, Nelly and Wendt, Herwig and Condat, Laurent and Abry, Patrice Multifractal-based texture segmentation using variational procedure. (2016) In: IEEE 12th Workshop on Image, Video, and Multidimensional Signal Processing (IVMSP 2016), 11 July 2016 - 12 July 2016 (Bordeaux, France).

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Official URL: http://dx.doi.org/10.1109/IVMSPW.2016.7528187


The present contribution aims at segmenting a scale-free texture into different regions, characterized by an a priori (unknown) multifractal spectrum. The multifractal properties are quantified using multiscale quantities C 1,j and C 2,j that quantify the evolution along the analysis scales 2 j of the empirical mean and variance of a nonlinear transform of wavelet coefficients. The segmentation is performed jointly across all the scales j on the concatenation of both C 1,j and C 2,j by an efficient vectorial extension of a convex relaxation of the piecewise constant Potts segmentation problem. We provide comparisons with the scalar segmentation of the Hölder exponent as well as independent vectorial segmentations over C 1 and C 2 .

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org This papers appears in XXX. Electronic ISBN: 978-1-5090-1929-8 The original PDF of the article can be found at: http://ieeexplore.ieee.org/document/7528187/ Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. http://ieeexplore.ieee.org/document/7528187/
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Ecole Normale Supérieure de Lyon - ENS de Lyon (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Other partners > Université Grenoble Alpes - UGA (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Université Claude Bernard-Lyon I - UCBL (FRANCE)
Laboratory name:
Deposited On:18 Jan 2017 15:23

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