Oscillating Patterns in Image Processing and Nonlinear Evolution Equations is popular PDF and ePub book, written by Yves Meyer in 2001, it is a fantastic choice for those who relish reading online the Computers genre. Let's immerse ourselves in this engaging Computers book by exploring the summary and details provided below. Remember, Oscillating Patterns in Image Processing and Nonlinear Evolution Equations can be Read Online from any device for your convenience.
Oscillating Patterns in Image Processing and Nonlinear Evolution Equations Book PDF 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.
Detail Book of Oscillating Patterns in Image Processing and Nonlinear Evolution Equations PDF
- Author : Yves Meyer
- Release : 27 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 0821829203
- Genre : Computers
- Total Page : 138 pages
- Language : English
- PDF File Size : 10,7 Mb
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