A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition
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| Language: | English |
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Cham : : Springer International Publishing : Imprint: Springer,,
2018
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| Edition: | 1st ed. 2018. |
| Series: | SpringerBriefs in Mathematics,, ISSN 2191-8198 |
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| Online Access: | https://doi.org/10.1007/978-3-319-78482-3 |
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Prandi, Dario. szerző aut http://id.loc.gov/vocabulary/relators/aut 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. 1st ed. 2018. Cham : Springer International Publishing : Imprint: Springer, 2018 XIV, 113 p. 14 illus., 6 illus. in color. online forrás szöveg txt rdacontent számítógépes c rdamedia távoli hozzáférés cr rdacarrier szövegfájl PDF rda SpringerBriefs in Mathematics, 2191-8198 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. 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. Nyomtatott kiadás: ISBN 9783319784816 Nyomtatott kiadás: ISBN 9783319784830 Az e-könyvek a teljes ELTE IP-tartományon belül online elérhetők. könyv e-book Harmonic analysis. EUL10000275880 Y Computer vision. EUL10000467498 Y Abstract Harmonic Analysis. Mathematical Applications in Computer Science. Computer Imaging, Vision, Pattern Recognition and Graphics. elektronikus könyv Gauthier, Jean-Paul. szerző aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) közreadó testület Online változat https://doi.org/10.1007/978-3-319-78482-3 EUL01 |
| language |
English |
| format |
Book |
| author |
Prandi, Dario., szerző |
| spellingShingle |
Prandi, Dario., szerző A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition SpringerBriefs in Mathematics,, ISSN 2191-8198 Harmonic analysis. Computer vision. Abstract Harmonic Analysis. Mathematical Applications in Computer Science. Computer Imaging, Vision, Pattern Recognition and Graphics. elektronikus könyv |
| author_facet |
Prandi, Dario., szerző Gauthier, Jean-Paul., szerző SpringerLink (Online service) |
| author2 |
Gauthier, Jean-Paul., szerző |
| author_corporate |
SpringerLink (Online service) |
| author_sort |
Prandi, Dario. |
| title |
A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition |
| title_short |
A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition |
| title_full |
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. |
| title_fullStr |
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. |
| title_full_unstemmed |
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. |
| title_auth |
A Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition |
| title_sort |
semidiscrete version of the citti petitot sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition |
| series |
SpringerBriefs in Mathematics,, ISSN 2191-8198 |
| series2 |
SpringerBriefs in Mathematics, |
| publishDate |
2018 |
| publishDateSort |
2018 |
| physical |
XIV, 113 p. 14 illus., 6 illus. in color. : online forrás |
| edition |
1st ed. 2018. |
| isbn |
978-3-319-78482-3 |
| issn |
2191-8198 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA403-403 |
| callnumber-raw |
979532 |
| callnumber-search |
979532 |
| topic |
Harmonic analysis. Computer vision. Abstract Harmonic Analysis. Mathematical Applications in Computer Science. Computer Imaging, Vision, Pattern Recognition and Graphics. elektronikus könyv |
| topic_facet |
Harmonic analysis. Computer vision. Abstract Harmonic Analysis. Mathematical Applications in Computer Science. Computer Imaging, Vision, Pattern Recognition and Graphics. elektronikus könyv Harmonic analysis. Computer vision. Abstract Harmonic Analysis. Mathematical Applications in Computer Science. Computer Imaging, Vision, Pattern Recognition and Graphics. |
| url |
https://doi.org/10.1007/978-3-319-78482-3 |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis |
| dewey-full |
515.785 |
| dewey-sort |
3515.785 |
| dewey-raw |
515.785 |
| dewey-search |
515.785 |
| first_indexed |
2022-02-02T07:35:45Z |
| last_indexed |
2022-03-11T06:51:11Z |
| recordtype |
opac |
| publisher |
Cham : : Springer International Publishing : Imprint: Springer, |
| _version_ |
1726981469113417728 |
| score |
13,333448 |
| generalnotes |
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. |