Wavelets: Tools for Science and Technology 1st Edition by Stéphane Jaffard (PDF)

Description

This long-awaited update of Meyer’s Wavelets: Algorithms and Applications includes completely new chapters on four topics: wavelets and the study of turbulence, wavelets and fractals (which includes an analysis of Riemann’s nondifferentiable function), data compression, and wavelets in astronomy. The chapter on data compression was the original motivation for this revised edition, and it contains up-to-date information on the interplay between wavelets and nonlinear approximation. The other chapters have been rewritten with comments, references, historical notes, and new material. Four appendices have been added: a primer on filters, key results (with proofs) about the wavelet transform, a complete discussion of a counterexample to the Marr-Mallat conjecture on zero-crossings, and a brief introduction to Hölder and Besov spaces. In addition, all of the figures have been redrawn, and the references have been expanded to a comprehensive list of over 260 entries. The book includes several new results that have not appeared elsewhere.

User’s Reviews

Editorial Reviews: Book Description This long-awaited update of Meyer’s Wavelets: Algorithms and Applications. About the Author Stéphane Jaffard is a Professor of Mathematics at the University of Paris XII at Créteil and at the Institut Universitaire of France. Yves Meyer is a Professor of Mathematics at Ecole Normale Supérieure at Cachan and a member of the French Academy of Sciences. Robert Ryan is a mathematician and translator living in Paris.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Of the many recent books on wavelets, this one by Jaffard, Meyer et al stands out. This is a new edition of earlier ones, starting with a French one, then a first translation, and now this expanded version. There is lots of new material, covering new developments, both with regards to theory and applications. The authors communicate the main points in a clear and attractive way, and it stresses lucid presentation of ideas over formulas. And with an infectious enthusiasm! The presentation is especially refreshing, in that the authors do not hide behind excessive technicalities and mathematical jargon. It is the central idea that shines through. And yet the mathematically sophisticated reader is paid his dues,– in some cases via the appendices. At that point, the technical mathematical points have been well motivated. The emphasis of the book is the mathematics behind the many algorithms that emerged from the wavelet trends since the 1980ties. And lots of new stuff added (for example JPEG-2000), right up to the present. The book is rich in applications, many of which are not found elsewhere. The inclusion of motivation and historical remarks is welcome, and makes the book enjoyable reading.

⭐Although this book emphasis is on algorithms and applications, the general presentation of wavelets for signal processing is great. The introduction to the subject is really excellent and great care has been given to explaining the use of wavelets for applications in signal processing. On the other side i found the last chapters dealing with applications a little too light for being useful…Anyway, a great book for “wavelets and applications in signal processing”…(also go to “Time-Frequency Time-scale analysis” by Patrick Flandrin which is wonderful).

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