The World According to Wavelets
Title | The World According to Wavelets PDF eBook |
Author | Barbara Burke Hubbard |
Publisher | CRC Press |
Pages | 352 |
Release | 1998-05-30 |
Genre | Mathematics |
ISBN | 1439864551 |
This best-selling book introduces a broad audience including scientists and engineers working in a variety of fields as well as mathematicians from other subspecialties to one of the most active new areas of applied mathematics and the story of its discovery and development. Organized in hypertext fashion, the book tells a story of scientific dis
The World According to Wavelets
Title | The World According to Wavelets PDF eBook |
Author | Barbara Burke Hubbard |
Publisher | A K Peters/CRC Press |
Pages | 264 |
Release | 1996-04-03 |
Genre | Mathematics |
ISBN | 9781568810478 |
This best-selling book introduces a broad audience including scientists and engineers working in a variety of fields as well as mathematicians from other subspecialties to one of the most active new areas of applied mathematics and the story of its discovery and development. Organized in "hypertext fashion", the book tells a story of scientific discovery with separate brief entries for technical terms and explicit appendices in a section called "Beyond Plain English".
Ten Lectures on Wavelets
Title | Ten Lectures on Wavelets PDF eBook |
Author | Ingrid Daubechies |
Publisher | SIAM |
Pages | 357 |
Release | 1992-01-01 |
Genre | Science |
ISBN | 9781611970104 |
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 satellite photographs, and medical x-rays--that were previously thought to be impossible to condense without losing crucial details. This monograph contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. The author has worked on several aspects of the wavelet transform and has developed a collection of wavelets that are remarkably efficient.
Wavelet Theory
Title | Wavelet Theory PDF eBook |
Author | David K. Ruch |
Publisher | John Wiley & Sons |
Pages | 502 |
Release | 2011-09-15 |
Genre | Mathematics |
ISBN | 1118165667 |
A self-contained, elementary introduction to wavelet theory and applications Exploring the growing relevance of wavelets in the field of mathematics, Wavelet Theory: An Elementary Approach with Applications provides an introduction to the topic, detailing the fundamental concepts and presenting its major impacts in the world beyond academia. Drawing on concepts from calculus and linear algebra, this book helps readers sharpen their mathematical proof writing and reading skills through interesting, real-world applications. The book begins with a brief introduction to the fundamentals of complex numbers and the space of square-integrable functions. Next, Fourier series and the Fourier transform are presented as tools for understanding wavelet analysis and the study of wavelets in the transform domain. Subsequent chapters provide a comprehensive treatment of various types of wavelets and their related concepts, such as Haar spaces, multiresolution analysis, Daubechies wavelets, and biorthogonal wavelets. In addition, the authors include two chapters that carefully detail the transition from wavelet theory to the discrete wavelet transformations. To illustrate the relevance of wavelet theory in the digital age, the book includes two in-depth sections on current applications: the FBI Wavelet Scalar Quantization Standard and image segmentation. In order to facilitate mastery of the content, the book features more than 400 exercises that range from theoretical to computational in nature and are structured in a multi-part format in order to assist readers with the correct proof or solution. These problems provide an opportunity for readers to further investigate various applications of wavelets. All problems are compatible with software packages and computer labs that are available on the book's related Web site, allowing readers to perform various imaging/audio tasks, explore computer wavelet transformations and their inverses, and visualize the applications discussed throughout the book. Requiring only a prerequisite knowledge of linear algebra and calculus, Wavelet Theory is an excellent book for courses in mathematics, engineering, and physics at the upper-undergraduate level. It is also a valuable resource for mathematicians, engineers, and scientists who wish to learn about wavelet theory on an elementary level.
Fundamentals of Wavelets
Title | Fundamentals of Wavelets PDF eBook |
Author | Jaideva C. Goswami |
Publisher | John Wiley & Sons |
Pages | 310 |
Release | 2011-03-08 |
Genre | Computers |
ISBN | 0470934646 |
Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty. This book provides a thorough treatment of the subject from an engineering point of view. It is a one-stop source of theory, algorithms, applications, and computer codes related to wavelets. This second edition has been updated by the addition of: a section on "Other Wavelets" that describes curvelets, ridgelets, lifting wavelets, etc a section on lifting algorithms Sections on Edge Detection and Geophysical Applications Section on Multiresolution Time Domain Method (MRTD) and on Inverse problems
Wavelets for Computer Graphics
Title | Wavelets for Computer Graphics PDF eBook |
Author | Eric J. Stollnitz |
Publisher | Morgan Kaufmann |
Pages | 292 |
Release | 1996 |
Genre | Computers |
ISBN | 9781558603752 |
This introduction to wavelets provides computer graphics professionals and researchers with the mathematical foundations for understanding and applying this powerful tool.
Wavelets in Soft Computing
Title | Wavelets in Soft Computing PDF eBook |
Author | Marc Thuillard |
Publisher | World Scientific |
Pages | 246 |
Release | 2001 |
Genre | Computers |
ISBN | 9810246099 |
This book presents the state of integration of wavelet theory and multiresolution analysis into soft computing. It is the first book on hybrid methods combining wavelet analysis with fuzzy logic, neural networks or genetic algorithms. Much attention is given to new approaches (fuzzy-wavelet) that permit one to develop, using wavelet techniques, linguistically interpretable fuzzy systems from data. The book also introduces the reader to wavelet-based genetic algorithms and multiresolution search. A special place is given to methods that have been implemented in real world applications, particularly the different techniques combining fuzzy logic or neural networks with wavelet theory.