A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition

著者

    • Prandi, Dario
    • Gauthier, Jean-Paul

書誌事項

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

(SpringerBriefs in mathematics, . BCAM SpringerBriefs)

Springer, c2018

  • : [pbk.]

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注記

Includes bibliographical references (p. 109-113)

内容説明・目次

内容説明

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.

目次

1 Introduction.- 2 Preliminaries.- 3 Lifts.- 4 Almost-periodic interpolation and approximation.- 5 Pattern recognition.- 6 Image reconstruction.- 7 Applications.- 8 Appendix: A Circulant matrices.- 9 Appendix B: Bispectrally admissible sets.

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詳細情報

  • NII書誌ID(NCID)
    BB26375815
  • ISBN
    • 9783319784816
  • LCCN
    2018941975
  • 出版国コード
    sw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cham
  • ページ数/冊数
    xiv, 113 p.
  • 大きさ
    24 cm
  • 親書誌ID
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