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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Λεπτομέρειες βιβλιογραφικής εγγραφής
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:
Διαθέσιμο Online:Full Text via HEAL-Link
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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. 
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300 |a XIV, 113 p. 14 illus., 6 illus. in color.  |b online resource. 
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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. 
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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650 2 4 |a Mathematical Applications in Computer Science.  |0 http://scigraph.springernature.com/things/product-market-codes/M13110 
650 2 4 |a Computer Imaging, Vision, Pattern Recognition and Graphics.  |0 http://scigraph.springernature.com/things/product-market-codes/I22005 
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