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A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition (Paperback, 1st ed. 2018)
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A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition (Paperback, 1st ed. 2018)
Series: SpringerBriefs in Mathematics
Expected to ship within 10 - 15 working days
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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.
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