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" Scaling, fractals and wavelets / "
edited by Patrice Abry, Paulo Gonçalves, Jacques Lévy Véhel.
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BL
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| Record Number
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1008233
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b762603
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| Uniform Title
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Lois d'echelle, fractales et ondelettes.English.
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| Title & Author
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Scaling, fractals and wavelets /\ edited by Patrice Abry, Paulo Gonçalves, Jacques Lévy Véhel.
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| Publication Statement
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London :: ISTE ;Hoboken, NJ :: Wiley,, 2009.
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| Series Statement
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Digital signal and image processing series
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| Page. NO
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1 online resource (504 pages) :: illustrations
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| ISBN
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0470394226
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: 0470611561
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: 1282165364
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: 1848210728
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: 9780470394229
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: 9780470611562
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: 9781282165366
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: 9781848210721
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9781848210721
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Ch. 1. Fractal and multifractal analysis in signal processing / Jacques Levy Vehel and Claude Tricot -- Ch. 2. Scale invariance and wavelets / Patrick Flandrin, Paulo Goncalves and Patrice Abry -- Ch. 3. Wavelet methods for multifractal analysis of functions / Stephane Jaffard -- Ch. 4. Multifractal scaling : general theory and approach by wavelets / Rudolf Riedi -- Ch. 5. Self-similar processes / Albert Benassi and Jacques Istas -- Ch. 6. Locally self-similar fields / Serge Cohen -- Ch. 7. An introduction to fractional calculus / Denis Matignon -- Ch. 8. Fractional synthesis, fractional filters / Liliane Bel, Georges Oppenheim, Luc Robbiano and Marie-Claude Viano -- Ch. 9. Iterated function systems and some generalizations : local regularity analysis and multifractal modeling of signals / Khalid Daoudi -- Ch. 10. Iterated function systems and applications in image processing / Franck Davoine and Jean-Marc Chassery -- Ch. 11. Local regularity and multifractal methods for image and signal analysis / Pierrick Legrand -- Ch. 12. Scale invariance in computer network traffic / Darryl Veitch -- Ch. 13. Research of scaling law on stock market variations / Christian Walter -- Ch. 14. Scale relativity, non-differentiability and fractal space-time / Laurent Nottale.
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| Abstract
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"This book addresses the fields of scaling, fractals and wavelets by focusing on the theories of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling - self-similarity, long-range dependence and multifractals - are introduced and explained. These models are then compared and related to one another." "Fractional integration, a mathematical tool closely related to the concept of scale invariance, is discussed, and stochastic processes with prescribed scaling properties (self-similar processes, locally self-similar processes, fractionally filtered processes, iterated function systems) are defined." "A number of application areas where the scaling paradigm has proved fruitful are examined, including image processing, financial and stock market fluctuation analysis, geophysics, scale relativity and fractal time-space."--Jacket.
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| Subject
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Fractals.
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Signal processing-- Mathematics.
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Wavelets (Mathematics)
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COMPUTERS-- Information Theory.
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Fractals.
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Signal processing-- Mathematics.
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TECHNOLOGY ENGINEERING-- Signals Signal Processing.
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Wavelets (Mathematics)
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| Dewey Classification
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621.382/20151
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| LC Classification
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TK5102.9.L65 2009
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| Added Entry
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Abry, Patrice.
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Gonçalves, Paulo,1967-
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Lévy Véhel, Jacques,1960-
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