A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition / Dario Prandi, Jean-Paul Gauthier.
2018
TA1637.5
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Title
A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition / Dario Prandi, Jean-Paul Gauthier.
Author
Prandi, Dario, author.
ISBN
9783319784823 (electronic book)
331978482X (electronic book)
9783319784816
3319784811
331978482X (electronic book)
9783319784816
3319784811
Published
Cham, Switzerland : Springer, [2018]
Copyright
©2018
Language
English
Description
1 online resource.
Item Number
10.1007/978-3-319-78482-3 doi
Call Number
TA1637.5
Dewey Decimal Classification
621.367015118
Summary
This book proposes a semi-discrete version of the theory of Petitot and Citti-Sarti, leading to a left-invariant structure over the group SE(2,N), restricted to a finite number of rotations. This apparently very simple group is in fact quite atypical: it is maximally almost periodic, which leads to much simpler harmonic analysis compared to SE(2). Based upon this semi-discrete model, the authors improve on previous image-reconstruction algorithms and develop a pattern-recognition theory that also leads to very efficient algorithms in practice.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (viewed June 18, 2018).
Added Author
Gauthier, Jean-Paul, author.
Series
SpringerBriefs in mathematics.
Available in Other Form
Print version: 9783319784816
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Table of Contents
1 Introduction
2 Preliminaries
3 Lifts
4 Almost-periodic interpolation and approximation
5 Pattern recognition
6 Image reconstruction
7 Applications
8 Appendix: A Circulant matrices
9 Appendix B: Bispectrally admissible sets.
2 Preliminaries
3 Lifts
4 Almost-periodic interpolation and approximation
5 Pattern recognition
6 Image reconstruction
7 Applications
8 Appendix: A Circulant matrices
9 Appendix B: Bispectrally admissible sets.