ISBN-10:
0792302109
ISBN-13:
9780792302100
Pub. Date:
04/30/1989
Publisher:
Springer Netherlands
Phase Retrieval and Zero Crossings: Mathematical Methods in Image Reconstruction / Edition 1

Phase Retrieval and Zero Crossings: Mathematical Methods in Image Reconstruction / Edition 1

by N.E. Hurt

Hardcover

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Product Details

ISBN-13: 9780792302100
Publisher: Springer Netherlands
Publication date: 04/30/1989
Series: Mathematics and Its Applications Series , #52
Edition description: 1989
Pages: 304
Product dimensions: 6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

1 Introduction.- 2 Polynomials: A Review.- 3 Entire Functions and Signal Recovery.- 4 Homometric Distributions.- 5 Analytic Signals and Signal Recovery from Zero Crossings.- 6 Signal Representation by Fourier Phase and Magnitude in One Dimension.- 7 Recovery of Distorted Band-Limited Signals.- 8 Compact Operators, Singular Value Analysis and Reproducing Kernel Hilbert Spaces.- 9 Kaczmarz Method, Landweber Iteration, Gerchberg-Papoulis and Regularization.- 10 Two Dimensional Signal Recovery Problems.- 11 Reconstruction Algorithms in Two Dimensions.- 12 Nonexpansive Maps and Signal Recovery.- 13 Projections on Convex Sets in Signal Recovery.- 14 Method of Generalized Projections and Steepest Descent.- 15 Closed Form Reconstruction of the Support and the Object.- 16 Fienup’s Input-Output Algorithms and Variations on this Theme.- 17 Topics and Applications of Signal Recovery.- A The Geometry of Projections on Convex Sets.- B Reference Summary.- C References.

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