| Description |
1 online resource (xvi, 483 pages) : illustrations |
| Series |
Applied and numerical harmonic analysis |
|
Applied and numerical harmonic analysis.
|
| Contents |
Introduction to Finite Frame Theory / Peter G. Casazza, Gitta Kutyniok and Friedrich Philipp -- Constructing Finite Frames with a Given Spectrum / Matthew Fickus, Dustin G. Mixon and Miriam J. Poteet -- Spanning and Independence Properties of Finite Frames / Peter G. Casazza and Darrin Speegle -- Algebraic Geometry and Finite Frames / Jameson Cahill and Nate Strawn -- Group Frames / Shayne Waldron -- Gabor Frames in Finite Dimensions / Götz E. Pfander -- Frames as Codes / Bernhard G. Bodmann -- Quantization and Finite Frames / Alexander M. Powell, Rayan Saab and Özgür Yılmaz -- Finite Frames for Sparse Signal Processing / Waheed U. Bajwa and Ali Pezeshki -- Finite Frames and Filter Banks / Matthew Fickus, Melody L. Massar and Dustin G. Mixon -- The Kadison-Singer and Paulsen Problems in Finite Frame Theory / Peter G. Casazza -- Probabilistic Frames: An Overview / Martin Ehler and Kasso A. Okoudjou -- Fusion Frames / Peter G. Casazza and Gitta Kutyniok |
| Summary |
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."--Publisher's website |
| Analysis |
Mathematics |
|
Computer vision |
|
Fourier analysis |
|
Operator theory |
|
Approximations and Expansions |
|
Signal, Image and Speech Processing |
|
Applications of Mathematics |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Frames (Vector analysis)
|
|
MATHEMATICS -- Vector Analysis.
|
|
Análisis de Fourier
|
|
Teoría de operadores
|
|
Frames (Vector analysis)
|
| Form |
Electronic book
|
| Author |
Casazza, Peter G., 1945-
|
|
Kutyniok, Gitta.
|
| ISBN |
9780817683733 |
|
0817683739 |
|
