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

By: Dario Prandi, Jean-Paul Gauthier

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Paperback | 20 June 2018

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Paperback
128 Pages

Dimensions(cm)
23.39 x 15.6 x 0.69

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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.

Industry 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)

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