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

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Special Collection:e-book
Format: Book
Published: Cham : : Springer International Publishing : Imprint: Springer,, 2018
Edition:1st ed. 2018.
Series:SpringerBriefs in Mathematics,, ISSN 2191-8198
Online Access:https://doi.org/10.1007/978-3-319-78482-3
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Item Description: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.
Physical Description:XIV, 113 p. 14 illus., 6 illus. in color. : online forrás