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portada A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition (Springerbriefs in Mathematics) (in English)
Type
Physical Book
Publisher
Author
Year
2018
Language
English
Pages
128
Format
Paperback
ISBN13
9783319784816
Edition No.
1
Categories

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

Dario Prandi; Jean-Paul Gauthier (Author) · Springer · Paperback

A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition (Springerbriefs in Mathematics) (in English) - Dario Prandi; Jean-Paul Gauthier

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

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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