edited by Patrice Abry, Paulo Gonçalves, Jacques Lévy Véhel.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Hoboken, NJ :
Name of Publisher, Distributor, etc.
Wiley,
Date of Publication, Distribution, etc.
2009.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (504 pages) :
Other Physical Details
illustrations
SERIES
Series Title
Digital signal and image processing series
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
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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SUMMARY OR ABSTRACT
Text of Note
"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.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Wiley InterScience
Stock Number
10.1002/9780470611562
OTHER EDITION IN ANOTHER MEDIUM
Title
Scaling, fractals and wavelets.
International Standard Book Number
1848210728
UNIFORM TITLE
General Material Designation
Lois d'echelle, fractales et ondelettes.
Language (when part of a heading)
English.
TOPICAL NAME USED AS SUBJECT
Fractals.
Signal processing-- Mathematics.
Wavelets (Mathematics)
COMPUTERS-- Information Theory.
Fractals.
Signal processing-- Mathematics.
TECHNOLOGY & ENGINEERING-- Signals & Signal Processing.