A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition
Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
| Author: | Dario Prandi, Jean-Paul Gauthier | ISBN: | 9783319784823 |
| Publisher: | Springer International Publishing | Publication: | June 11, 2018 |
| Imprint: | Springer | Language: | English |
| Author: | Dario Prandi, Jean-Paul Gauthier |
| ISBN: | 9783319784823 |
| Publisher: | Springer International Publishing |
| Publication: | June 11, 2018 |
| Imprint: | Springer |
| Language: | English |
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.
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.
