TY  - BOOK
AU  - Casazza,Peter G.
AU  - Kutyniok,Gitta
ED  - SpringerLink (Online service)
TI  - Finite Frames: Theory and Applications 
T2  - Applied and Numerical Harmonic Analysis
SN  - 9780817683733
AV  - QA401-425 
U1  - 511.4 23
PY  - 2013///
CY  - Boston
PB  - Birkhäuser Boston, Imprint: Birkhäuser
KW  - Mathematics
KW  - Computer graphics
KW  - Approximation theory
KW  - Fourier analysis
KW  - Operator theory
KW  - Applied mathematics
KW  - Engineering mathematics
KW  - Approximations and Expansions
KW  - Signal, Image and Speech Processing
KW  - Fourier Analysis
KW  - Computer Imaging, Vision, Pattern Recognition and Graphics
KW  - Operator Theory
KW  - Applications of Mathematics
N1  - Introduction -- Constructing Finite Frames with a Given Spectrum.-Spanning and Independence Properties of Finite.-Alegebraic Geometry and Finite Frames -- Group Frames -- Gabor Framses in Finite Dimensions -- Frames as Codes -- Quantization and Finite Frames -- Finite Frames for Sparse Signal Processing -- Finite Frames and Filter Banks -- Finite Frame theory in Pure Mathematics -- Probabilitstic Frames -- Fusion Frames
N2  - 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
UR  - http://dx.doi.org/10.1007/978-0-8176-8373-3
ER  -