Oscillating patterns in image processing and nonlinear evolution equations
Subtitle: the fifteenth Dean Jacqueline B. Lewis memorial lectures
By: Yves Meyer.
Series: University lecture series -- v. 22.; University lecture series (Providence, R.I.) -- 22.
Publisher: American Mathematical Society
Published: 2001
Place of publication: Providence, R.I
Language: eng
Number of pages: 122
Subjects: Evolution equations, Nonlinear.; Image compression.; Signal processing -- Mathematics.; Oscillations.
Description: "Image compression, the Navier-Stokes equations, and detection of gravitational waves are three seemingly unrelated scientific problems that, remarkably, can be studied from one perspective. The notion that unifies the three problems is that of "oscillating patterns", which are present in many natural images, help to explain nonlinear equations. and are pivotal in studying chirps and frequency-modulated signals." "In the book, the author describes both what the oscillating patterns are and the mathematics necessary for their analysis. It turns out that this mathematics involves new properties of various Besov-type function spaces and leads to many deep results, including new generalizations of famous Gagliardo-Nirenberg and Poincare inequalities."

"This book can be used either as a textbook in studying applications of wavelets to image processing or as a supplementary resource for studying nonlinear evolution equations or frequency-modulated signals. Most of the material in the book did not appear previously in monograph literature."--Jacket.
Notes: Includes bibliographical references (p. 119-122).