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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)

A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition (SpringerBriefs in Mathematics)

by Dario Prandi (Author), Jean-Paul Gauthier (Contributor)

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    Paperback 2018

    $53.33
Synopsis

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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More Information

Format: Paperback
 Pages: 128
 Edition: 1st ed. 2018
 Publisher: Springer
Published: 20 Jun 2018
ISBN 10: 3319784811
ISBN 13: 9783319784816

Author Bio

Dario Prandi was born in 1986. He received is PhD in applied mathematics from Ecole Polyechnique, Palaiseau, France, and SISSA, Trieste, Italy, in 2014, and is currently a CNRS researcher at Laboratoire des Signaux et des Systemes, CentraleSupelec, 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.