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.
Prandi, Dario, author.; Gauthier, Jean-Paul, author.
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
DOI https://doi.org/10.1007/978-3-319-78482-3
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.
Access Note 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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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.

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