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A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition

Record Type:	Language materials, printed : Monograph/item
Title/Author:	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.
Author:	Prandi, Dario.
other author:	Gauthier, Jean-Paul.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xiv, 113 p. :digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Image reconstruction - Mathematical models. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-78482-3
ISBN:	9783319784823

A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition
Prandi, Dario.

A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition[electronic resource] /by Dario Prandi, Jean-Paul Gauthier. - Cham :Springer International Publishing :2018. - xiv, 113 p. :digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

ISBN: 9783319784823

Standard No.: 10.1007/978-3-319-78482-3doiSubjects--Topical Terms:

598546
Image reconstruction
--Mathematical models.

LC Class. No.: TA1637.5 / .P736 2018

Dewey Class. No.: 621.367015118

A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition
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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. : $b digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
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 Image reconstruction $x Mathematical models. $3 598546
650 0 $a Pattern perception $x Mathematical models. $3 677114
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Abstract Harmonic Analysis. $3 672075
650 2 4 $a Mathematical Applications in Computer Science. $3 815331
650 2 4 $a Computer Imaging, Vision, Pattern Recognition and Graphics. $3 671334
700 1 $a Gauthier, Jean-Paul. $3 684003
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950 $a Mathematics and Statistics (Springer-11649)