A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition
| By: | Dario Prandi; Jean-Paul Gauthier |
| Publisher: | Springer Nature |
| Print ISBN: | 9783319784816 |
| eText ISBN: | 9783319784823 |
| Edition: | 0 |
| Copyright: | 2018 |
| Format: | Reflowable |
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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.