CRC Press, 2002. — 368 p. — ISBN10: 0750306920, ISBN13: 978-0750306928. The first chapter presents a brief overview of the wavelet transform, including a short history. The remainder of the book is split into two parts: the first part discusses the mathematics of both discrete and continuous wavelet transforms while the second part deals with applications in a variety of...
Springer, 2019. — 302 p. — ISBN: 978-3-319-92122-8. This volume concludes our three-volume series titled "Spline and spline wavelet methods with applications to signal and image processing". This book provides a practical guide, complete with accompanying MatLAB software, to many different types of polynomial and discrete splines and spline-based wavelets, multiwavelets and...
Boca Raton: CRC Press, 1993. — 587 p. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. It will be an especially useful reference for harmonic analysts, partial differential equation researchers, signal processing engineers, numerical analysts, fluids researchers, and applied mathematicians Preface. Contributors....
Katholieke Universiteit Leuven, 2001, -181 pp. Курс лекций по вейвлетам и их приложениям. We shall give some basics about wavelet theory and stress its advantages in several applications. We illustrate the usefulness in image and signal processing. Signals Filters Filter banks Multiresolution Wavelet transform and filter banks Approximating properties and wavelet design...
Philadelphia: SIAM, 1997. — 229 p. Wavelets continue to be powerful mathematical tools that can be used to solve problems for which the Fourier (spectral) method does not perform well or cannot handle. This book is for engineers, applied mathematicians, and other scientists who want to learn about using wavelets to analyze, process, and synthesize images and signals....
London: Chapman and Hall, 1995. - 237 p. This book is based on Albert Cohen's doctoral thesis, which was written at the University of Paris-Dauphine under the guidance of Professor Yves Meyer. It was published in 1992 by Masson, Paris. Since this first publication, research on wavelets and multiscale methods has progressed significantly, and interest in these fields has...
San Diego: Academic Press, 1997. - 586 p. It is fair to say that wavelet analysis as it stands has by far not yet reached a steady state in this field. As promising as many of the underlying concepts are, it would be naive to expect their immediate practical success in complex, real-life applications governed by PDEs. Current wavelet methods and corresponding software tools are...
Higher Education Press. World Scientific Publishing. 2010. - 190 p. The texts of this book grew from an ISFM A (Sino-French Institute of Applied Mathematics) symposium on "Wavelet Methods in Mathematical Analysis and Engineering" that took place in August 2007 on the Zhuhai campus of Sun Yat-Sen University. This symposium was composed of a one week summer school mainly directed...
Учебное пособие. Филадельфия, Пенсильвания, изд-во О-ва индустриальной и прикладной математики, 1992 - 378с. (англ.) Wavelets are a mathematical development that may revolutionize the world of information storage and retrieval according to many experts. They are a fairly simple mathematical tool now being applied to the compression of data—such as fingerprints, weather...
Boston: Birkhäuser, 2015. - 562p. This textbook is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Emphasis is placed on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as...
Basel: Marcel Dekker AG, 2000. - 396 p. These proceedings contain a selection of papers presented at the Wavelet Analysis and Multiresolution Methods Special Session of AMS Meeting #941, which was held at the University of Illinois at Urbana-Champaign. The papers cover topics such as the construction, analysis, computation, and application of multiwavelets, scaling vectors,...
New York: American Mathematical Society, 2004. — 342 p. In the past two decades, wavelets and frames have emerged as significant tools in mathematics and technology. They interact with harmonic analysis, operator theory, and a host of other applications. This book grew out of a special session on Wavelets, Frames and Operator Theory held at the Joint Mathematics Meetings in...
Boca Raton: CRC Press, 1996. — 454 p. Wavelet theory had its origin in quantum field theory, signal analysis, and function space theory. In these areas wavelet-like algorithms replace the classical Fourier-type expansion of a function. This unique new book is an excellent introduction to the basic properties of wavelets, from background math to powerful applications. The...
Oxford University Press Inc., 1995. — 438 p. — ISBN: 0198534817, 0198505213, 9780198534815 Скан, текстовый слой. Wavelets analysis-a new and rapidly growing field of research-has been applied to a wide range of endeavors, from signal data analysis (geoprospection, speech recognition, and singularity detection) to data compression (image and voice-signals) to pure mathematics....
A K Peters/CRC Press, 1996. - 264 pages. Drawing on interviews with leading wavelet researchers in the USA and France, this book tells the story of the rise of the field. It attempts to make the subject accessible to the non-mathematical reader, without sacrificing precision. The material is organized so that the mathematical details can be assimilated at the reader's own pace....
N.-Y.: Society for Industrial Mathematics, 2001. - 271p. Of the many recent books on wavelets, this one by Jaffard, Meyer et al stands out. This is a new edition of earlier ones, starting with a French one, then a first translation, and now this expanded version. There is lots of new material, covering new developments, both with regards to theory and applications. The authors...
Birkhauser Boston, 1994. - 324 pages. This volume is designed as a textbook for an introductory course on wavelet analysis and time-frequency analysis aimed at graduate students or advanced undergraduates in science and engineering. It can also be used as a self-study or reference book by practicing researchers in signal analysis and related areas. Since the expected audience...
Academic Press, 2001. — 513 p. Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations. It is an invaluable means to interpolate practical data with smooth functions. Multivariate polysplines have applications in the design of surfaces and "smoothing" that are essential...
World Scientific Publishing, 2005. — 550 p. Proceedings of the 6th International Progress on Wavelet Analysis and Active Media Technology Vol.1. Wavelet analysis is not only based on a "bright new idea", but also on concepts that already existed under various forms in many different fields. The formalization and emergence of this "wavelet theory" is the result of a...
World Scientific Publishing. 2005. — 570 p. Proceedings of the 6th International Progress on Wavelet Analysis and Active Media Technology Vol.2. Wavelet analysis is not only based on a "bright new idea", but also on concepts that already existed under various forms in many different fields. The formalization and emergence of this "wavelet theory" is the result of a...
World Scientific Publishing. 2005. - 560 p. Proceedings of the 6th International Progress on Wavelet Analysis and Active Media Technology Vol.3. Wavelet analysis is not only based on a "bright new idea", but also on concepts that already existed under various forms in many different fields. The formalization and emergence of this "wavelet theory" is the result of a...
New York: Cambridge University Press, 2004. - 240 p. Over the last two years, wavelet methods have shown themselves to be of considerable use to harmonic analysts and, in particular, advances have been made concerning their applications. The strength of wavelet methods lies in their ability to describe local phenomena more accurately than a traditional expansion in sines and...
New Jersey: John Wiley, 2003. - 236 p. An indispensable guide to understanding wavelets Elements of Wavelets for Engineers and Scientists is a guide to wavelets for "the rest of us"-practicing engineers and scientists, nonmathematicians who want to understand and apply such tools as fast Fourier and wavelet transforms. It is carefully designed to help professionals in...
Birkhäuser, 2013. — 303 p. This book explains the nature and computation of mathematical wavelets, which provide a framework and methods for the analysis and the synthesis of signals, images, and other arrays of data. The material presented here addresses the audience of engineers, financiers, scientists, and students looking for explanations of wavelets at the undergraduate...
Издательство Atlantis Press, 2009, -192 pp. The wavelet transform has emerged as one of the most promising function transforms with great potential in applications during the last four decades. The present monograph is an outcome of the recent researches by the author and his co-workers, most of which are not available in a book form. Nevertheless, it also contains the results...
Cambridge University Press, 2000. — 611 p. — ISBN 0521640687, 9780521640688. The analysis of time series data is essential to many areas of science, engineering, finance and economics. This introduction to wavelet analysis "from the ground level and up," and to wavelet-based statistical analysis of time series focuses on practical discrete time techniques, with detailed...
Addison Wesley, 1998. - 326 p. The wavelet transform has been perhaps the most exciting development in the last decade to bring together researchers in several different fields such as signal processing, image processing, communications, computer science, and mathematics—to name a few. This book provides an introduction to wavelet transform theory and applications for...
New York: Springer, 1998. - 547 p. The authors have been beguiled and entranced by mathematics all of their lives, and both believe it is the highest expression of pure thought and an essential component-one might say the quintessence-of nature. How else can one ex plain the remarkable effectiveness of mathematics in describing and predicting the physical world? The projection...
New Delhi: Prentice Hall of India, 2010. - 448 p. This book in its third edition additionally explores how the ubiquitous electronic spreadsheet can be utilized for wavelet based signal and image processing. Many of the intriguing properties of wavelet and scaling functions can be easily observed in the spreadsheets. Preface. Acknowledgments. The Age of Wavelets. The Origins of...
PHI Learning Pvt. Ltd., 2010 - 447 pages. This book in its third edition additionally explores how the ubiquitous electronic spreadsheet can be utilized for wavelet based signal and image processing. Many of the intriguing properties of wavelet and scaling functions can be easily observed in the spreadsheets. Preface. Acknowledgments. The Age of Wavelets. The Origins of...
Hoboken: Wiley, 2016. — 325 p. Provides easy learning and understanding of DWT from a signal processing point of view Presents DWT from a digital signal processing point of view, in contrast to the usual mathematical approach, making it highly accessible Offers a comprehensive coverage of related topics, including convolution and correlation, Fourier transform, FIR filter,...
Birkhauser Boston, 2004. - 472 pages. "An Introduction to Wavelet Analysis" provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and application of wavelet bases. The book develops the basic theory of wavelet bases and transforms without assuming any knowledge of Lebesgue integration or the theory of abstract Hilbert...
Boca Raton: CRC Press, 2000. — 391 p. 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...
Barcelona: IMUB, 2002. — 472 p. The workshop "Wavelets and Applications", (July 1-6, 2002, Barcelona), organized by the Institute of Mathematics of the University of Barcelona (IMUB), is addressed to students and researchers interested in the very active field of wavelets, either from a pure mathematics point of view (Harmonic and Functional Analysis, Probability Theory, etc.)...
Prentice Hall, 1995. — 177 p. — ISBN 0-13-120999-x. Observations of signals, time series in telecommunication, or pictures in medical imaging reveal selfsimilarity, i.e. , the signal/picture looks the same as the scale varies. Hence, the name "fractal" ! Pictures in the Intro make this scale-similarity visually apparent. But it is made precise in mathematical statistics, and...
УФН. — 1996. — том 166. — №11. — с. 1146-1170. Представлены основы теории вейвлетов-преобразования - аппарата, хорошо приспособленного для изучения структуры неоднородных сигналов.
М.: РИЦ Техносфера, 2004. — 280 с. ISBN 5-94836-033-4 Первое полноценное учебное пособие по новой, быстроразвивающейся математической дисциплине - теории вейвлетов. До сих пор такие учебники на русском языке не выходили. Книга дополнена упражнениями, что делает ее отличным пособием для студентов старших курсов и аспирантов, специалистов по теории связи, заинтересованных в...
СПб.: ВУС, 1999. — 204 с. Излагаются основные вопросы теории вейвлет-преобразования; рассмотрены принципы построения вейвлет-фильтров, практические аспекты осуществления преобразования, современные направления исследований в этой области; обсуждаются алгоритмы сжатия изображений с использованием вейвлет-преобразования; приведены технические данные о микросхемах ADV6xx,...
Перевод на русский язык. — Ижевск: Регулярная и хаотическая динамика, 2001. — 464 с. Книга представляет собой введение в курс вейвлет-анализа, имеющего приложение в теории временных рядов, методах распознавания образов и пр. Является одним из лучших введений в эту область математики. Предназначена для студентов, аспирантов, а также будет полезна преподавателям и научным...
Ижевск: НИЦ "Регулярная и хаотическая динамика", 2001. — 464 с.
Что к чему и как в вейвлетах.
Непрерывное вейвлет-преобразование.
Дискретные вейвлет-преобразования: фреймы.
Частотно-временная плотность и ортонормированные базисы.
Успехи физических наук, том 171, № 5, май 2001. - 37 с.
Цель этого обзора состоит в том, чтобы дать полезное пособие тем, кто собирается применять дискретное вейвлет-преобразование в практических расчетах. Введено понятие вейвлетов и кратко описано их использование в практических вычислениях и различных приложениях без строгих доказательств математических утверждений, ссылки на...
М.: Солон-Р, 2002. — 448 с.: ил. — ISBN 5-93465-150-7. Книга является первой справочной научной монографией, посвященной крупной, новой и актуальной проблеме вейвлетам и вейвлет преобразованиям. Материал предоставлен в форме, доступной для понимания специалистами в сфере прикладной математики и обработки функций сигналов и изображений. Основное внимание уделено вопросам...
Львів: Сполом, 2008. — 208 с. Монографія присвячена розробці нових підходів до задач попередньої обробки та компресії зображень з використанням методів на базі вейвлет-перетворення. Основний наголос у монографії робиться на математичному моделюванні даних у вейвлет-просторі. Викладено базові основи вейвлет-перетворення даних та запропоновано новий метод побудови...
М.: Физматлит, 2003. — 176 с. — ISBN 978-5-9221-0389-3. В книге рассматривается такой современный метод анализа временных рядов, как непрерывный вейвлетный анализ. Излагаются общие сведения и понятия вейвлетного преобразования, математический аппарат, методика численной реализации вейвлетного преобразования, вейвлетный анализ случайных процессов, способы применения вейвлетного...
Пер. с англ. – М.: Мир, 2005. — 671 с.: ил. — ISBN 5-03-003691-1. Книга написана известным французским ученым и является наиболее полной современной монографией в области теории вэйвлетов и их применений при обработке сигналов. В ней подробно обсуждаются как важнейшие теоретические вопросы, так и ряд наиболее актуальных практических задач: сжатие сигналов и изображений, их...
М.: ДМК Пресс, 2005. –304 с. Предлагаемая читателю книга может служить учебником по теории вейвлетов и их применениям в системе MatLAB. Она доступна студентам высших учебных заведений, специализирующимся по математике и инженерным наукам, и будет полезна специалистам-практикам, использующим вейвлеты в своей работе. В книгу включены сведения по рядам Фурье и преобразованию...
Учебное пособие. – М.; Издательство Триумф, 2003. В книге подробно рассматриваются самые передовые математические методы сжатия изображений и их законченная программная реализация. Математический аппарат фракталов и вейвлетов позволяет получить значительно большие коэффициенты сжатия, чем алгоритмы JPEG, при лучшем качестве получаемого изображения. Предисловие. Краткий обзор...
М.: БИНОМ, Лаборатория знаний, 2008. — 487 с. Дается изложение методов линейной алгебры, и с этой точки зрения описываются свойства дискретного вейвлет-преобразования, очень важного в приложениях. Приводится большое количество практических примеров и задач, наглядно иллюстрирующих свойства используемых математических методов и их современную прикладную направленность. Для...
Пер. с англ. Я.М. Жилейкина. — М.: Мир, 2001. — 412 c. — ISBN 5-03-003397-1. Учебное пособие по теории вэйвлетов — одному из активно развивающихся направлений теоретической и прикладной математики, написанное известным американским специалистом по вычислительной математике. Книга написана так, что от читателя требуется только знание основ теории функций и вещественного анализа....
Москва: Техносфера, 2007. — 192 c. — ISBN 978-5-94836-108-6. Поскольку область применения вейвлет-преобразований включает разнообразные разделы анализа сигналов и сжатия данных, как у студентов, так и у практиков существует потребность в практическом введении и кратком обзоре. В этом учебнике даны основные принципы и важные приложения. Многочисленные примеры демонстрируют как...
М.: Московская геологоразведочная академия, 2001. — 72 с. Учебно-практическое пособие предназначено для студентов, обучающихся в системе дистанционного образования по специальностям: "Прикладная математика" и "Геофизические методы поисков и разведки месторождений полезных ископаемых" (08.07, 09.01, 09.02, 09.05). Объем и содержание пособия соответствуют учебной программе по...
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