| HAL : hal-00357844, version 1 |
| DOI : 10.1000/ISBN-9781848210721 |
| Fiche détaillée | Récupérer au format |
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| Scaling, Fractals and Wavelets, Patrice Abry, Paulo Gonçalves, Jacques Levy-Vehel (Ed.) (2009) 512 pp. |
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| Iterated function systems and applications in image processing |
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| Franck Davoine 1Jean-Marc Chassery 2 |
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| (01/01/2009) |
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| 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. |
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| 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 | |
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| Domaine | : | Sciences de l'ingénieur/Traitement du signal et de l'image Informatique/Traitement du signal et de l'image |
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| IFS - Fractal Compression |
| hal-00357844, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00357844 | |
| oai:hal.archives-ouvertes.fr:hal-00357844 | |
| Contributeur : Jean-Marc Chassery | |
| Soumis le : Lundi 2 Février 2009, 10:42:32 | |
| Dernière modification le : Lundi 30 Novembre 2009, 13:21:23 | |