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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Hlavní autor: Prandi, Dario (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:SpringerBriefs in Mathematics,
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ISBN:9783319784823
ISSN:2191-8198
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100 1 |a Prandi, Dario.  |4 aut 
245 1 2 |a A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition  |h [electronic resource] /  |c by Dario Prandi, Jean-Paul Gauthier. 
250 |a 1st ed. 2018. 
260 1 |a Cham :  |b Springer International Publishing,  |c 2018. 
300 |a XIV, 113 p. 14 illus., 6 illus. in color.  |b online resource. 
490 1 |a SpringerBriefs in Mathematics,  |x 2191-8198 
500 |a Mathematics and Statistics  
505 0 |a 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. 
516 |a text file PDF 
520 |a 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. 
650 0 |a Harmonic analysis. 
650 0 |a Computer science-Mathematics. 
650 0 |a Computer mathematics. 
650 0 |a Optical data processing. 
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