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.

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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.

9783319784823 (electronic book)
331978482X (electronic book)
9783319784816
3319784811

Cham, Switzerland : Springer, [2018]

©2018

English

1 online resource.

10.1007/978-3-319-78482-3 doi

TA1637.5

621.367015118

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (viewed June 18, 2018).

SpringerBriefs in mathematics.

Print version: 9783319784816

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