Overview
- First book on the topic
- Unified presentation across all contributions to the volume
- Comprehensive coverage of theory and applications of finite frames
- Useful for a wide range of mathematicians, computer scientists, and engineers
- Includes supplementary material: sn.pub/extras
Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics. More recently, finite frame theory has grown into an important research topic in its own right, with a myriad of applications to pure and applied mathematics, engineering, computer science, and other areas. The number of research publications, conferences, and workshops on this topic has increased dramatically over the past few years, but no survey paper or monograph has yet appeared on the subject.
Edited by two of the leading experts in the field, Finite Frames aims to fill this void in the literature by providing a comprehensive, systematic study of finite frame theory and applications. With carefully selected contributions written by highly experienced researchers, it covers topics including:
* Finite Frame Constructions;
* Optimal Erasure Resilient Frames;
* Quantization of Finite Frames;
* Finite Frames and Compressed Sensing;
* Group and Gabor Frames;
* Fusion Frames.
Despite the variety of its chapters' source and content, the book's notation and terminology are unified throughout and provide a definitive picture of the current state of frame theory.
With a broad range of applications and a clear, full presentation, this book is a highly valuable resource for graduate students and researchers across disciplines such as applied harmonic analysis, electrical engineering, quantum computing, medicine, and more. It is designed to be used as a supplemental textbook, self-study guide, or reference book.
Editors and Affiliations
Bibliographic Information
Book Title: Finite Frames
Book Subtitle: Theory and Applications
Editors: Peter G. Casazza, Gitta Kutyniok
Series Title: Applied and Numerical Harmonic Analysis
DOI: https://doi.org/10.1007/978-0-8176-8373-3
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-0-8176-8372-6Published: 13 September 2012
eBook ISBN: 978-0-8176-8373-3Published: 14 September 2012
Series ISSN: 2296-5009
Series E-ISSN: 2296-5017
Edition Number: 1
Number of Pages: XVI, 485
Number of Illustrations: 15 b/w illustrations, 20 illustrations in colour
Topics: Approximations and Expansions, Signal, Image and Speech Processing, Fourier Analysis, Computer Imaging, Vision, Pattern Recognition and Graphics, Operator Theory, Applications of Mathematics