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" A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition / "
Dario Prandi, Jean-Paul Gauthier.
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BL
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| Record Number
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865694
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| Main Entry
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Prandi, Dario
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| Title & Author
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A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition /\ Dario Prandi, Jean-Paul Gauthier.
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| Publication Statement
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Cham, Switzerland :: Springer,, [2018]
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, ©2018
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| Series Statement
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SpringerBriefs in Mathematics,
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1 online resource
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| ISBN
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331978482X
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: 9783319784823
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3319784811
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9783319784816
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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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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| Abstract
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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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| Subject
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Image reconstruction-- Mathematical models.
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Pattern perception-- Mathematical models.
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Complex analysis, complex variables.
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Computer vision.
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Mathematical modelling.
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Pattern perception-- Mathematical models.
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TECHNOLOGY ENGINEERING-- Mechanical.
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| Dewey Classification
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621.367015118
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| LC Classification
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TA1637.5
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| Added Entry
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Gauthier, Jean-Paul
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