Franklin

A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition / by Dario Prandi, Jean-Paul Gauthier.

Author/Creator:
Prandi, Dario. author., Author,
Edition:
1st ed. 2018.
Publication:
Cham : Springer International Publishing : Imprint: Springer, 2018.
Series:
Mathematics and Statistics (Springer-11649)
SpringerBriefs in mathematics 2191-8198
SpringerBriefs in Mathematics, 2191-8198
Format/Description:
Book
1 online resource (XIV, 113 pages) : 14 illustrations, 6 illustrations in color.
Subjects:
Harmonic analysis.
Computer science-Mathematics.
Computer science -- Mathematics.
Optical data processing.
Local subjects:
Abstract Harmonic Analysis. (search)
Mathematical Applications in Computer Science. (search)
Computer Imaging, Vision, Pattern Recognition and Graphics. (search)
System Details:
text file PDF
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.
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.
Contributor:
Gauthier, Jean-Paul, author., Author,
SpringerLink (Online service)
Contained In:
Springer eBooks
Other format:
Printed edition:
Printed edition:
ISBN:
978-3-319-78482-3
9783319784823
Publisher Number:
10.1007/978-3-319-78482-3 doi
Access Restriction:
Restricted for use by site license.
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