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商品詳細
A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition. 1st ed. 2018.
・ISBN 978-3-319-78481-6 paper EUR 49.99
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| 著者・編者 | Prandi, Dario / Gauthier, Jean-Paul, |
|---|---|
| シリーズ | SpringerBriefs in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 113 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-5391＞ |
解説
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.