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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Detalles Bibliográficos
Autores principales: Prandi, Dario, Gauthier, Jean-Paul
Lenguaje:eng
Publicado: Springer 2018
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-78482-3
http://cds.cern.ch/record/2628728
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author Prandi, Dario
Gauthier, Jean-Paul
author_facet Prandi, Dario
Gauthier, Jean-Paul
author_sort Prandi, Dario
collection CERN
description 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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institution Organización Europea para la Investigación Nuclear
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spelling cern-26287282021-04-21T18:46:25Zdoi:10.1007/978-3-319-78482-3http://cds.cern.ch/record/2628728engPrandi, DarioGauthier, Jean-PaulA semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognitionMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:26287282018
spellingShingle Mathematical Physics and Mathematics
Prandi, Dario
Gauthier, Jean-Paul
A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition
title A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition
title_full A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition
title_fullStr A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition
title_full_unstemmed A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition
title_short A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition
title_sort semidiscrete version of the citti-petitot-sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-78482-3
http://cds.cern.ch/record/2628728
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