Oscillating Patterns in Image - Couverture souple

Meyer, Yves

 
9780821829202: Oscillating Patterns in Image
Couverture souple
ISBN 10 : 0821829203 ISBN 13 : 9780821829202
Editeur : American Mathematical Society, 2001

Synopsis

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, more precisely 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 their use 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 by the 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 in monograph literature.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2001
Langue
anglais
ISBN 10 
0821829203
ISBN 13 
9780821829202
Reliure
Broché
Nombre de pages
122
Coordonnées du fabricant
non disponible
Personne responsable
non disponible