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A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition (SpringerBriefs in Mathematics) - Softcover
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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 <I>SE(2,N)</I>, 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 <I>SE(2)</I>. 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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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.
Biografía del autor:
Dario Prandi was born in 1986. He received is PhD in applied mathematics from École Polyechnique, Palaiseau, France, and SISSA, Trieste, Italy, in 2014, and is currently a CNRS researcher at Laboratoire des Signaux et des Systèmes, CentraleSupélec, Gif-sur-Yvette. His research interests include sub-Riemannian geometry, image processing and, neuroscience.
Jean-Paul Gauthier was born in 1952. He received his PhDs in computer science and physics in 1978 and 1982 respectively. He started his career as a CNRS research worker, and from 1988 onward was a professor at various French universities. In 2007 he became a professor at Toulon University, and has been professor emeritus since 2017. His fields of interest include control theory and its applications, image processing, and sub-Riemannian geometry. He was featured in a review by the American Mathematical Society in 2001, and he has been a member of Institut Universitaire de France (IUF) since 1992.
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- VerlagSpringer
- Erscheinungsdatum2018
- ISBN 10 3319784811
- ISBN 13 9783319784816
- EinbandTapa blanda
- Anzahl der Seiten128
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A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition
ISBN 10: 3319784811
ISBN 13: 9783319784816
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Buchbeschreibung Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9783319784816
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