A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition

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...

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Hlavný autor: Prandi, Dario (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:English
Vydavateľské údaje: Cham : Springer International Publishing, 2018.
Vydanie:1st ed. 2018.
Edícia:SpringerBriefs in Mathematics,
Predmet:
Harmonic analysis.
Computer science-Mathematics.
Computer mathematics.
Optical data processing.
ISBN:9783319784823
ISSN:2191-8198
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Obsah:
  • 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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