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

Von:

Prandi, Dario, 1986- [VerfasserIn]

Mitwirkende(r):

Gauthier, Jean-Paul [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: SpringerBriefs in Mathematics | Springer eBook Collection | SpringerLink BücherVerlag: Cham : Springer International Publishing, 2018Beschreibung: Online-Ressource (XIV, 113 p. 14 illus., 6 illus. in color, online resource)ISBN:

9783319784823

Schlagwörter:

Andere physische Formen: 9783319784816 | Erscheint auch als: 978-3-319-78481-6 Druck-Ausgabe | Printed edition: 9783319784816 DDC-Klassifikation:

515.785

MSC: MSC: *68-02 | 65D18 | 68T10 | 68U10LOC-Klassifikation:

QA403-403.3

DOI: DOI: 10.1007/978-3-319-78482-3Online-Ressourcen:

Zusammenfassung: 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 practiceZusammenfassung: 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 setsPPN: PPN: 1026858712Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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