Sparse and Redundant Representations

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Release : 2010-08-12
Genre : Mathematics
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Book Rating : 118/5 ( reviews)

Sparse and Redundant Representations - 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 Sparse and Redundant Representations write by Michael Elad. This book was released on 2010-08-12. Sparse and Redundant Representations available in PDF, EPUB and Kindle. A long long time ago, echoing philosophical and aesthetic principles that existed since antiquity, William of Ockham enounced the principle of parsimony, better known today as Ockham’s razor: “Entities should not be multiplied without neces sity. ” This principle enabled scientists to select the ”best” physical laws and theories to explain the workings of the Universe and continued to guide scienti?c research, leadingtobeautifulresultsliketheminimaldescriptionlength approachtostatistical inference and the related Kolmogorov complexity approach to pattern recognition. However, notions of complexity and description length are subjective concepts anddependonthelanguage“spoken”whenpresentingideasandresults. The?eldof sparse representations, that recently underwent a Big Bang like expansion, explic itly deals with the Yin Yang interplay between the parsimony of descriptions and the “language” or “dictionary” used in them, and it became an extremely exciting area of investigation. It already yielded a rich crop of mathematically pleasing, deep and beautiful results that quickly translated into a wealth of practical engineering applications. You are holding in your hands the ?rst guide book to Sparseland, and I am sure you’ll ?nd in it both familiar and new landscapes to see and admire, as well as ex cellent pointers that will help you ?nd further valuable treasures. Enjoy the journey to Sparseland! Haifa, Israel, December 2009 Alfred M. Bruckstein vii Preface This book was originally written to serve as the material for an advanced one semester (fourteen 2 hour lectures) graduate course for engineering students at the Technion, Israel.

A Wavelet Tour of Signal Processing

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Release : 1999-09-14
Genre : Computers
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Book Rating : 839/5 ( reviews)

A Wavelet Tour of Signal Processing - 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 A Wavelet Tour of Signal Processing write by Stephane Mallat. This book was released on 1999-09-14. A Wavelet Tour of Signal Processing available in PDF, EPUB and Kindle. This book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach "wavelet signal processing" courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and ÉcolePolytechnique in Paris. - Provides a broad perspective on the principles and applications of transient signal processing with wavelets - Emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms - Numerous examples of real applications to noise removal, deconvolution, audio and image compression, singularity and edge detection, multifractal analysis, and time-varying frequency measurements - Algorithms and numerical examples are implemented in Wavelab, which is a Matlab toolbox freely available over the Internet - Content is accessible on several level of complexity, depending on the individual reader's needs New to the Second Edition - Optical flow calculation and video compression algorithms - Image models with bounded variation functions - Bayes and Minimax theories for signal estimation - 200 pages rewritten and most illustrations redrawn - More problems and topics for a graduate course in wavelet signal processing, in engineering and applied mathematics

Sparse Image and Signal Processing

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Release : 2015-10-14
Genre : Computers
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Book Rating : 062/5 ( reviews)

Sparse Image and Signal Processing - 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 Sparse Image and Signal Processing write by Jean-Luc Starck. This book was released on 2015-10-14. Sparse Image and Signal Processing available in PDF, EPUB and Kindle. Presents state-of-the-art sparse and multiscale image and signal processing with applications in astronomy, biology, MRI, media, and forensics.

Iterative Methods for Sparse Linear Systems

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Release : 2003-04-01
Genre : Mathematics
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Book Rating : 342/5 ( reviews)

Iterative Methods for Sparse Linear Systems - 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 Iterative Methods for Sparse Linear Systems write by Yousef Saad. This book was released on 2003-04-01. Iterative Methods for Sparse Linear Systems available in PDF, EPUB and Kindle. Mathematics of Computing -- General.

Mathematics in Image Processing

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Release : 2013-06-12
Genre : Mathematics
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Book Rating : 418/5 ( reviews)

Mathematics in Image Processing - 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 Mathematics in Image Processing write by Hong-Kai Zhao. This book was released on 2013-06-12. Mathematics in Image Processing available in PDF, EPUB and Kindle. The theme of the 2010 PCMI Summer School was Mathematics in Image Processing in a broad sense, including mathematical theory, analysis, computation algorithms and applications. In image processing, information needs to be processed, extracted and analyzed from visual content, such as photographs or videos. These demands include standard tasks such as compression and denoising, as well as high-level understanding and analysis, such as recognition and classification. Centered on the theme of mathematics in image processing, the summer school covered quite a wide spectrum of topics in this field. The summer school is particularly timely and exciting due to the very recent advances and developments in the mathematical theory and computational methods for sparse representation. This volume collects three self-contained lecture series. The topics are multi-resolution based wavelet frames and applications to image processing, sparse and redundant representation modeling of images and simulation of elasticity, biomechanics, and virtual surgery. Recent advances in image processing, compressed sensing and sparse representation are discussed.