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

von Dario Prandi, Jean-Paul Gauthier

113 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: SpringerBriefs in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Komplexe Analysis, komplexe Variablen, Funktionentheorie
• ISBN: 9783319784816
• Sprache: Englisch
• Erscheinungsdatum: 20.06.2018
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing