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

Authors: Prandi, Dario, Gauthier, Jean-Paul

  • Offers a cortical-inspired point of view on image processing
  • Provides fast and efficient methods for image inpainting and recognition
  • Presents a new theoretical framework for roto-translation invariant image recognition
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  • ISBN 978-3-319-78482-3
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About this book

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.

About the authors

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.

Reviews

“The book is written in a very accessible fashion and the proposed methods are described in depth. It is suitable for graduate students and for researchers and professionals interested in image reconstruction and pattern recognition.” (Krzystof Gdawiec, zbMATH 1415.68007, 2019)

Table of contents (7 chapters)

Table of contents (7 chapters)
  • Introduction

    Pages 1-12

    Prandi, Dario (et al.)

  • Preliminaries

    Pages 13-34

    Prandi, Dario (et al.)

  • Lifts

    Pages 35-42

    Prandi, Dario (et al.)

  • Almost-Periodic Interpolation and Approximation

    Pages 43-52

    Prandi, Dario (et al.)

  • Pattern Recognition

    Pages 53-76

    Prandi, Dario (et al.)

Buy this book

eBook 46,00 €
price for Spain (gross)
  • ISBN 978-3-319-78482-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-319-78481-6
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-78482-3
DOI
10.1007/978-3-319-78482-3
Softcover ISBN
978-3-319-78481-6
Series ISSN
2191-8198
Edition Number
1
Number of Pages
XIV, 113
Number of Illustrations
8 b/w illustrations, 6 illustrations in colour
Topics

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