Wavelets And Multiwavelets

Author : Fritz Keinert
Publisher : CRC Press
ISBN 13 : 0203011597
Total Pages : 288 pages
Book Rating : 4.91/5 ( download)

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Download or read book Wavelets and Multiwavelets written by Fritz Keinert and published by CRC Press. This book was released on 2003-11-12 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretically, multiwavelets hold significant advantages over standard wavelets, particularly for solving more complicated problems, and hence are of great interest. Meeting the needs of engineers and mathematicians, this book provides a comprehensive overview of multiwavelets. The author presents the theory of wavelets from the viewpoint of genera

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821807935
Total Pages : 190 pages
Book Rating : 4.34/5 ( download)

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Download or read book Wavelets, Multiwavelets, and Their Applications written by and published by American Mathematical Soc.. This book was released on with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Bin Han
Publisher : Springer
ISBN 13 : 3319685309
Total Pages : 750 pages
Book Rating : 4.04/5 ( download)

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Download or read book Framelets and Wavelets written by Bin Han and published by Springer. This book was released on 2018-01-04 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory. As such, it can be used as either a textbook or reference guide. As a textbook for graduate mathematics students and beginning researchers, it offers detailed information on the basic theory of framelets and wavelets, complemented by self-contained elementary proofs, illustrative examples/figures, and supplementary exercises. Further, as an advanced reference guide for experienced researchers and practitioners in mathematics, physics, and engineering, the book addresses in detail a wide range of basic and advanced topics (such as multiwavelets/multiframelets in Sobolev spaces and directional framelets) in wavelet theory, together with systematic mathematical analysis, concrete algorithms, and recent developments in and applications of framelets and wavelets. Lastly, the book can also be used to teach on or study selected special topics in approximation theory, Fourier analysis, applied harmonic analysis, functional analysis, and wavelet-based signal/image processing.

Author : Patrick J. Van Fleet
Publisher : John Wiley & Sons
ISBN 13 : 1118979273
Total Pages : 637 pages
Book Rating : 4.73/5 ( download)

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Download or read book Discrete Wavelet Transformations written by Patrick J. Van Fleet and published by John Wiley & Sons. This book was released on 2019-04-09 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: Updated and Expanded Textbook Offers Accessible and Applications-First Introduction to Wavelet Theory for Students and Professionals The new edition of Discrete Wavelet Transformations continues to guide readers through the abstract concepts of wavelet theory by using Dr. Van Fleet’s highly practical, application-based approach, which reflects how mathematicians construct solutions to challenges outside the classroom. By introducing the Haar, orthogonal, and biorthogonal filters without the use of Fourier series, Van Fleet allows his audience to connect concepts directly to real-world applications at an earlier point than other publications in the field. Leveraging extensive graphical displays, this self-contained volume integrates concepts from calculus and linear algebra into the constructions of wavelet transformations and their applications, including data compression, edge detection in images and denoising of signals. Conceptual understanding is reinforced with over 500 detailed exercises and 24 computer labs. The second edition discusses new applications including image segmentation, pansharpening, and the FBI fingerprint compression specification. Other notable features include: Two new chapters covering wavelet packets and the lifting method A reorganization of the presentation so that basic filters can be constructed without the use of Fourier techniques A new comprehensive chapter that explains filter derivation using Fourier techniques Over 120 examples of which 91 are “live examples,” which allow the reader to quickly reproduce these examples in Mathematica or MATLAB and deepen conceptual mastery An overview of digital image basics, equipping readers with the tools they need to understand the image processing applications presented A complete rewrite of the DiscreteWavelets package called WaveletWare for use with Mathematica and MATLAB A website, www.stthomas.edu/wavelets, featuring material containing the WaveletWare package, live examples, and computer labs in addition to companion material for teaching a course using the book Comprehensive and grounded, this book and its online components provide an excellent foundation for developing undergraduate courses as well as a valuable resource for mathematicians, signal process engineers, and other professionals seeking to understand the practical applications of discrete wavelet transformations in solving real-world challenges.

Author : Gilbert G. Walter
Publisher : CRC Press
ISBN 13 : 9781584882275
Total Pages : 394 pages
Book Rating : 4.71/5 ( download)

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Download or read book Wavelets and Other Orthogonal Systems, Second Edition written by Gilbert G. Walter and published by CRC Press. This book was released on 2000-12-20 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bestseller in its first edition, Wavelets and Other Orthogonal Systems: Second Edition has been fully updated to reflect the recent growth and development of this field, especially in the area of multiwavelets. The authors have incorporated more examples and numerous illustrations to help clarify concepts. They have also added a considerable amount of new material, including sections addressing impulse trains, an alternate approach to periodic wavelets, and positive wavelet s. Other new discussions include irregular sampling in wavelet subspaces, hybrid wavelet sampling, interpolating multiwavelets, and several new statistics topics. With cutting-edge applications in data compression, image analysis, numerical analysis, and acoustics wavelets remain at the forefront of current research. Wavelets and Other Orthogonal Systems maintains its mathematical perspective in presenting wavelets in the same setting as other orthogonal systems, thus allowing their advantages and disadvantages to be seen more directly. Now even more student friendly, the second edition forms an outstanding text not only for graduate students in mathematics, but also for those interested in scientific and engineering applications.

Author : C. S. Burrus
Publisher : Pearson
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.95/5 ( download)

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Download or read book Introduction to Wavelets and Wavelet Transforms written by C. S. Burrus and published by Pearson. This book was released on 1998 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced undergraduate and beginning graduate students, faculty, researchers and practitioners in signal processing, telecommunications, and computer science, and applied mathematics. It assumes a background of Fourier series and transforms and of linear algebra and matrix methods. This primer presents a well balanced blend of the mathematical theory underlying wavelet techniques and a discussion that gives insight into why wavelets are successful in signal analysis, compression, dection, numerical analysis, and a wide variety of other theoretical and practical applications. It fills a gap in the existing wavelet literature with its unified view of expansions of signals into bases and frames, as well as the use of filter banks as descriptions and algorithms.

Author : Gilbert G. Walter
Publisher : CRC Press
ISBN 13 : 9780849378782
Total Pages : 264 pages
Book Rating : 4.88/5 ( download)

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Download or read book Wavelets and Other Orthogonal Systems with Applications written by Gilbert G. Walter and published by CRC Press. This book was released on 1994-07-13 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book makes accessible to both mathematicians and engineers important elements of the theory, construction, and application of orthogonal wavelets. It is integrated with more traditional orthogonal series, such as Fourier series and orthogonal polynomials. It treats the interaction of both with generalized functions (delta functions), which have played an important part in engineering theory but whose rules are often vaguely presented. Unlike most other books that are excessively technical, this text/reference presents the basic concepts and examples in a readable form. Much of the material on wavelets has not appeared previously in book form. Applications to statistics, sampling theorems, and stochastic processes are given. In particular, the close affinity between wavelets and sampling theorems is explained and developed.

Author : Ka-Sing Lau
Publisher : Springer
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.21/5 ( download)

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Download or read book Advances in Wavelets written by Ka-Sing Lau and published by Springer. This book was released on 1999-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains contributions on mathematical theory and applications of wavelets. Originally presented at the workshop on Wavelets and Their Applications held at The Chinese University of Hong Kong in 1997, these contributions have since been reviewed and edited.

Author : Tian-Xiao He
Publisher : CRC Press
ISBN 13 : 9780824704179
Total Pages : 446 pages
Book Rating : 4.77/5 ( download)

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Download or read book Wavelet Analysis and Multiresolution Methods written by Tian-Xiao He and published by CRC Press. This book was released on 2000-05-05 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers selected from the Wavelet Analysis and Multiresolution Methods Session of the AMS meeting held at the University of Illinois at Urbana-Champaign. The contributions cover: construction, analysis, computation and application of multiwavelets; scaling vectors; nonhomogenous refinement; mulivariate orthogonal and biorthogonal wavelets; and other related topics.

Author : Patrick J. Van Fleet
Publisher : John Wiley & Sons
ISBN 13 : 1118030664
Total Pages : 570 pages
Book Rating : 4.60/5 ( download)

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Download or read book Discrete Wavelet Transformations written by Patrick J. Van Fleet and published by John Wiley & Sons. This book was released on 2011-03-01 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: An "applications first" approach to discrete wavelettransformations Discrete Wavelet Transformations provides readers with a broadelementary introduction to discrete wavelet transformations andtheir applications. With extensive graphical displays, thisself-contained book integrates concepts from calculus and linearalgebra into the construction of wavelet transformations and theirvarious applications, including data compression, edge detection inimages, and signal and image denoising. The book begins with a cursory look at wavelet transformationdevelopment and illustrates its allure in digital signal and imageapplications. Next, a chapter on digital image basics, quantitativeand qualitative measures, and Huffman coding equips readers withthe tools necessary to develop a comprehensive understanding of theapplications. Subsequent chapters discuss the Fourier series,convolution, and filtering, as well as the Haar wavelet transformto introduce image compression and image edge detection. Thedevelopment of Daubechies filtersis presented in addition tocoverage of wavelet shrinkage in the area of image and signaldenoising. The book concludes with the construction of biorthogonalfilters and also describes their incorporation in the JPEG2000image compression standard. The author's "applications first" approach promotes a hands-ontreatment of wavelet transforma-tion construction, and over 400exercises are presented in a multi-part format that guide readersthrough the solution to each problem. Over sixty computer labs andsoftware development projects provide opportunities for readers towrite modules and experiment with the ideas discussed throughoutthe text. The author's software package, DiscreteWavelets, is usedto perform various imaging and audio tasks, compute wavelettransformations and inverses, and visualize the output of thecomputations. Supplementary material is also available via thebook's related Web site, which includes an audio and videorepository, final project modules, and softwarefor reproducingexamples from the book. All software, including theDiscreteWavelets package, is available for use withMathematica®, MATLAB®, and Maple. Discrete Wavelet Transformations strongly reinforces the use ofmathematics in digital data applications, sharpens programmingskills, and provides a foundation for further study of moreadvanced topics, such as real analysis. This book is ideal forcourses on discrete wavelet transforms and their applications atthe undergraduate level and also serves as an excellent referencefor mathematicians, engineers, and scientists who wish to learnabout discrete wavelet transforms at an elementary level.