Iterated function systems and applications in image processing - Archive ouverte HAL Accéder directement au contenu
Chapitre D'ouvrage Année : 2009

Iterated function systems and applications in image processing

Résumé

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.
Fichier non déposé

Dates et versions

hal-00357844 , version 1 (02-02-2009)

Identifiants

Citer

Franck Davoine, Jean-Marc Chassery. Iterated function systems and applications in image processing. Patrice Abry, Paulo Gonçalves, Jacques Levy-Vehel. Scaling, Fractals and Wavelets, John Wiley, 512 pp., 2009, DSP - Digital Signal Processing, ⟨10.1000/ISBN-9781848210721⟩. ⟨hal-00357844⟩
108 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More