Oscillating Patterns in Image Processing and Nonlinear Evolution Equations

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Author :
Release : 2001
Genre : Computers
Kind :
Book Rating : 202/5 ( reviews)

Oscillating Patterns in Image Processing and Nonlinear Evolution Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Oscillating Patterns in Image Processing and Nonlinear Evolution Equations write by Yves Meyer. This book was released on 2001. Oscillating Patterns in Image Processing and Nonlinear Evolution Equations available in PDF, EPUB and Kindle. 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.

Oscillating Patterns in Image Processing and Nonlinear Evolution Equations

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Author :
Release : 2001
Genre : Mathematics
Kind :
Book Rating : 694/5 ( reviews)

Oscillating Patterns in Image Processing and Nonlinear Evolution Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Oscillating Patterns in Image Processing and Nonlinear Evolution Equations write by Yves Meyer. This book was released on 2001. Oscillating Patterns in Image Processing and Nonlinear Evolution Equations available in PDF, EPUB and Kindle. 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.

Parabolic Quasilinear Equations Minimizing Linear Growth Functionals

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Author :
Release : 2012-12-06
Genre : Mathematics
Kind :
Book Rating : 288/5 ( reviews)

Parabolic Quasilinear Equations Minimizing Linear Growth Functionals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Parabolic Quasilinear Equations Minimizing Linear Growth Functionals write by Fuensanta Andreu-Vaillo. This book was released on 2012-12-06. Parabolic Quasilinear Equations Minimizing Linear Growth Functionals available in PDF, EPUB and Kindle. This book details the mathematical developments in total variation based image restauration. From the reviews: "This book is devoted to PDE's of elliptic and parabolic type associated to functionals having a linear growth in the gradient, with a special emphasis on the applications related to image restoration and nonlinear filters....The book is written with great care, paying also a lot of attention to the bibliographical and historical notes."-- ZENTRALBLATT MATH

Issues in Analysis, Measurement, Monitoring, Imaging, and Remote Sensing Technology: 2011 Edition

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Release : 2012-01-09
Genre : Science
Kind :
Book Rating : 843/5 ( reviews)

Issues in Analysis, Measurement, Monitoring, Imaging, and Remote Sensing Technology: 2011 Edition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Issues in Analysis, Measurement, Monitoring, Imaging, and Remote Sensing Technology: 2011 Edition write by . This book was released on 2012-01-09. Issues in Analysis, Measurement, Monitoring, Imaging, and Remote Sensing Technology: 2011 Edition available in PDF, EPUB and Kindle. Issues in Analysis, Measurement, Monitoring, Imaging, and Remote Sensing Technology: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Analysis, Measurement, Monitoring, Imaging, and Remote Sensing Technology. The editors have built Issues in Analysis, Measurement, Monitoring, Imaging, and Remote Sensing Technology: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Analysis, Measurement, Monitoring, Imaging, and Remote Sensing Technology in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Analysis, Measurement, Monitoring, Imaging, and Remote Sensing Technology: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Functional Analysis, Sobolev Spaces and Partial Differential Equations

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Release : 2010-11-10
Genre : Mathematics
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Book Rating : 134/5 ( reviews)

Functional Analysis, Sobolev Spaces and Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Functional Analysis, Sobolev Spaces and Partial Differential Equations write by Haim Brezis. This book was released on 2010-11-10. Functional Analysis, Sobolev Spaces and Partial Differential Equations available in PDF, EPUB and Kindle. This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.