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＜電子ブック＞
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
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2018
本文言語	英語
大きさ	XIV, 113 p. 14 illus., 6 illus. in color : online resource
著者標目	*Prandi, Dario author Gauthier, Jean-Paul author SpringerLink (Online service)
件　名	LCSH:Harmonic analysis LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Image processing -- Digital techniques  全ての件名で検索 LCSH:Computer vision FREE:Abstract Harmonic Analysis FREE:Mathematical Applications in Computer Science FREE:Computer Imaging, Vision, Pattern Recognition and Graphics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-319-78482-3

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