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

• Κύριοι συγγραφείς: Prandi, Dario (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Gauthier, Jean-Paul (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: Harmonic analysis.; Computer science-Mathematics.; Computer mathematics.; Optical data processing.; Abstract Harmonic Analysis.; Mathematical Applications in Computer Science.; Computer Imaging, Vision, Pattern Recognition and Graphics.

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...

Πίνακας περιεχομένων:

• 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.