Wavelets for Computer Graphics: Theory and Applications (The Morgan Kaufmann Series in Computer Graphics) 1st Edition by Eric J. Stollnitz (PDF)

Description

This distinctly accessible introduction to wavelets provides computer graphics professionals and researchers with the mathematical foundations for understanding and applying this powerful tool. Wavelets are rapidly becoming a core technique in computer graphics, with applications for* Image editing and compression* Automatic level-of-detail control for editing and rendering curves and surfaces* Surface reconstruction from contours* Physical simulation for global illumination and animation Stressing intuition and clarity, this book offers a solid understanding of the theory of wavelets and their proven applications in computer graphics. Although previous introductions to wavelets have presented an elegant mathematical framework, that framework is too restrictive to apply to many problems in graphics. In contrast, this book focuses on a generalized theory that naturally accommodates the kinds of objects that commonly arise in computer graphics, including images, open curves, and surfaces of arbitrary topology. This book also contains a foreword by Ingrid Daubechies and an appendix covering the necessary background material in linear algebra.

User’s Reviews

Editorial Reviews: Amazon.com Review The term wavelet was coined in 1940 by a scientist observing the disturbances emanating from seismic events and explosive charges. Today, the term denotes the actual mathematical function that was originally used to model these disturbances, and many scientists working in signal processing, physics, and other areas use wavelets to represent and analyze large amounts of data. Wavelets for Computer Graphics: Theory and Applications is a well-written, thoroughly researched book that provides a solid introduction to wavelet theory and the burgeoning field of its applications in computer graphics. The authors target computer-graphics professionals and researchers, particularly those who know the rudiments of linear algebra and are relatively new to wavelet theory. The authors explain the algebraic formulae for, and methodology behind, using wavelets to enhance and edit images. They discuss different types of wavelets– such as Haar wavelets and biorthogonal wavelets for surfaces–and explain how to apply wavelets to image compression, editing, and querying; curves and tiling; surface-area editing and compression; and the physical simulation methods of variational modeling and global illumination. Each section of the book combines theory, mathematics, and real-world examples showing how to apply wavelets to specific graphics. Appendices review the basics of linear algebra and B-spline wavelet matrices. From the Back Cover This distinctly accessible introduction to wavelets provides computer graphics professionals and researchers with the mathematical foundations for understanding and applying this powerful tool. Wavelets are rapidly becoming a core technique in computer graphics, with applications for Image editing and compressionAutomatic level-of-detail control for editing and rendering curves and surfacesSurface reconstruction from contoursPhysical simulation for global illumination and animation Stressing intuition and clarity, this book offers a solid understanding of the theory of wavelets and their proven applications in computer graphics. Although previous introductions to wavelets have presented an elegant mathematical framework, that framework is too restrictive to apply to many problems in graphics. In contrast, this book focuses on a generalized theory that naturally accommodates the kinds of objects that commonly arise in computer graphics, including images, open curves, and surfaces of arbitrary topology. This book also contains a foreword by Ingrid Daubechies and an appendix covering the necessary background material in linear algebra.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is an easy to read book covering simple wavelets relating to computer graphics. This book also provides a very easy and fun explanation of subdivision.This book is primarily aimed at the application of wavelets, it contains simple and easy to follow illustrations of key concepts, and is very light on proofs. While I may be slightly biased, in that I have a degree in Computer Engineering, I really can’t imagine an explanation of wavelets being any easier to read than this book is.Overall, the authors did an excellent job creating an introductory book on wavelets relating to computer graphics.

⭐I shall be brief and skip saucy words and go to the main point: Why you should acquire this book? 2 Reasons. 1)Michael Lounsbery, Tony D. DeRose and Joe Warren, “Multiresolution analysis for surfaces of arbitrary topological type” 2)”Multiresolution curves”, Adam Finkelstein and David H. Salesin.The authors offer their knowledge in an early stage and this honour them in the largest extent! This book provides an expleantion for these two papers and their branches(papers originating from these theories).

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