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Oscillating Patterns in Image Processing and Nonlinear Evolution Equations The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures

Author: 


ISBN-13: 

9780821829202


ISBN: 

0821829203


Publisher:  American Mathematical Society
Summary: 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. The... first chapter of this book considers image processing, moreprecisely algorithms of image compression and denoising. This research is motivated in particular by the new standard for compression of still images known as JPEG-2000. The second chapter has new results on the Navier-Stokes and other nonlinear evolution equations. Frequency-modulated signals and theiruse in the detection of gravitational waves are covered in the final chapter. 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 is based on the ''Dean Jacqueline B. Lewis Memorial Lectures'' given bythe author at Rutgers University. It 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 inmonograph literature.

Meyer, Yves is the author of Oscillating Patterns in Image Processing and Nonlinear Evolution Equations The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures, published under ISBN 9780821829202 and 0821829203. Two hundred ten Oscillating Patterns in Image Processing and Nonlinear Evolution Equations The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures textbooks are available for sale on ValoreBooks.com, seven used from the cheapest price of $20.10, or buy new starting at $30.00.
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Oscillating Patterns in Image Processing and Nonlinear Evolution Equations The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures

ISBN-13: 9780821829202


ISBN: 0821829203


Publisher: American Mathematical Society
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