HAL : hal-00357844, version 1

DOI : 10.1000/ISBN-9781848210721

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Scaling, Fractals and Wavelets, Patrice Abry, Paulo Gonçalves, Jacques Levy-Vehel (Ed.) (2009) 512 pp.

Iterated function systems and applications in image processing

Franck Davoine 1, Jean-Marc Chassery 2

(01/01/2009)

This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling are introduced: self-similarity, long-range dependence and multi-fractals. These models are compared and related one to the other. Second, they introduce fractional integration, a mathematical tool closely related to the notion of scale invariance. Also, they define stochastic processes with prescribed scaling properties (self-similar processes, locally self-similar processes, fractionally filtered processes, iterated function systems). A number of applications where the scaling paradigm proved fruitful are detailed: image processing, financial and stock market fluctuations, geophysics, scale relativity and fractal time-space.

1 :	Heuristique et Diagnostic des Systèmes Complexes (HEUDIASYC)
	CNRS : UMR6599 – Université de Technologie de Compiègne
2 :	Grenoble Images Parole Signal Automatique (GIPSA-lab)
	CNRS : UMR5216 – Université Joseph Fourier - Grenoble I – Université Pierre-Mendès-France - Grenoble II – Université Stendhal - Grenoble III – Institut Polytechnique de Grenoble - Grenoble Institute of Technology

Domaine

:

Sciences de l'ingénieur/Traitement du signal et de l'image Informatique/Traitement du signal et de l'image

Mots Clés : IFS - Fractal Compression

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Contributeur : Jean-Marc Chassery <>

Soumis le : Lundi 2 Février 2009, 10:42:32

Dernière modification le : Lundi 30 Novembre 2009, 13:21:23