LEADER 03257nam 22005655 450 001 9910300117103321 005 20200703082536.0 010 $a3-319-78482-X 024 7 $a10.1007/978-3-319-78482-3 035 $a(CKB)4100000004834889 035 $a(DE-He213)978-3-319-78482-3 035 $a(MiAaPQ)EBC5428761 035 $a(PPN)229495729 035 $a(EXLCZ)994100000004834889 100 $a20180611d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition /$fby Dario Prandi, Jean-Paul Gauthier 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XIV, 113 p. 14 illus., 6 illus. in color.) 225 1 $aSpringerBriefs in Mathematics,$x2191-8198 311 $a3-319-78481-1 327 $a1 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. 330 $aThis book proposes a semi-discrete version of the theory of Petitot and Citti-Sarti, leading to a left-invariant structure over the group SE(2,N), restricted to a finite number of rotations. This apparently very simple group is in fact quite atypical: it is maximally almost periodic, which leads to much simpler harmonic analysis compared to SE(2). Based upon this semi-discrete model, the authors improve on previous image-reconstruction algorithms and develop a pattern-recognition theory that also leads to very efficient algorithms in practice. 410 0$aSpringerBriefs in Mathematics,$x2191-8198 606 $aHarmonic analysis 606 $aComputer science?Mathematics 606 $aComputer mathematics 606 $aOptical data processing 606 $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015 606 $aMathematical Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M13110 606 $aComputer Imaging, Vision, Pattern Recognition and Graphics$3https://scigraph.springernature.com/ontologies/product-market-codes/I22005 615 0$aHarmonic analysis. 615 0$aComputer science?Mathematics. 615 0$aComputer mathematics. 615 0$aOptical data processing. 615 14$aAbstract Harmonic Analysis. 615 24$aMathematical Applications in Computer Science. 615 24$aComputer Imaging, Vision, Pattern Recognition and Graphics. 676 $a515.785 700 $aPrandi$b Dario$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767706 702 $aGauthier$b Jean-Paul$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910300117103321 996 $aA Semidiscrete Version of the Citti-Petitot-Sarti Model as a Plausible Model for Anthropomorphic Image Reconstruction and Pattern Recognition$92047138 997 $aUNINA