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Record Nr. |
UNINA9910300117103321 |
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Autore |
Prandi Dario |
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Titolo |
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 |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
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ISBN |
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Edizione |
[1st ed. 2018.] |
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Descrizione fisica |
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1 online resource (XIV, 113 p. 14 illus., 6 illus. in color.) |
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Collana |
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SpringerBriefs in Mathematics, , 2191-8198 |
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Disciplina |
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Soggetti |
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Harmonic analysis |
Computer science—Mathematics |
Computer science - Mathematics |
Optical data processing |
Abstract Harmonic Analysis |
Mathematical Applications in Computer Science |
Computer Imaging, Vision, Pattern Recognition and Graphics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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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Sommario/riassunto |
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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. |
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