A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition - Dario Prandi, Jean-Paul Gauthier

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

Buch | Softcover
XIV, 113 Seiten
2018 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-78481-6 (ISBN)
53,49 inkl. MwSt
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.

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.

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.

"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)

“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)

Erscheinungsdatum
Reihe/Serie SpringerBriefs in Mathematics
Zusatzinfo XIV, 113 p. 14 illus., 6 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 206 g
Themenwelt Informatik Grafik / Design Digitale Bildverarbeitung
Informatik Theorie / Studium Künstliche Intelligenz / Robotik
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Schlagworte Abstract harmonic analysis • Almost-periodic functions • Fourier descriptors • Hypoelliptic diffusion • Neurogeometry
ISBN-10 3-319-78481-1 / 3319784811
ISBN-13 978-3-319-78481-6 / 9783319784816
Zustand Neuware
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