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Modern Signal Processing MSRI Publications Volume 46, 2003 …

Tags: analog signal processing, compact groups, donoho, electric circuits, fourier analysis, grunbaum, hyperbolic geometry, image registration, jpeg 2000, motion group, msri publications, n saito, nonlinear inverse problems, optic fibers, phylogenetic trees, rockmore, sparsity, spherical functions, statistical independence, statistical pattern recognition,
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Language: english
Created: Wed Apr 28 11:32:15 2004
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Modern Signal Processing
MSRI Publications
Volume 46, 2003




                                Contents


Introduction                                                             ix
     D. Rockmore and D. Healy

Hyperbolic Geometry, Nehari's Theorem, Electric Circuits, and Analog
Signal Processing                                                         1
    J. Allen and D. Healy
Engineering Applications of the Motion-Group Fourier Transform           63
    G. Chirikjian and Y. Wang
Fast X-Ray and Beamlet Transforms for Three-Dimensional Data             79
    D. Donoho and O. Levi
Fourier Analysis and Phylogenetic Trees                                 117
    S. Evans
Diffuse Tomography as a Source of Challenging Nonlinear Inverse
 Problems for a General Class of Networks                               137
           ¨
     A. Grunbaum
An Invitation to Matrix-valued Spherical Functions                      147
           ¨
    A. Grunbaum, I. Pacharoni and J. Tirao
Image Registration for MRI                                              161
    P. Kostelec and S. Periaswamy
Image Compression: The Mathematics of JPEG 2000                         185
    Jin Li
Integrated Sensing and Processing for Statistical Pattern Recognition   223
     C. Priebe, D. Marchette, and D. Healy
Sampling of Functions and Sections for Compact Groups                   247
   D. Maslen
The Cooley­Tukey FFT and Group Theory                                   281
    D. Maslen and D. Rockmore

                                      vii
viii                                CONTENTS

Signal Processing in Optic Fibers                                      301
        ¨
    U. Osterberg
The Generalized Spike Process, Sparsity and Statistical Independence   317
    N. Saito