"Curves and surfaces represented by polynomial support fuctions"@en . . "Z(MSM0021620839)" . "1-3" . . "This paper studies shapes (curves and surfaces) which can be described by (piecewise) polynomial support functions. The class of these shapes is closed under convolutions, offsetting, rotations and translations. We give a geometric discussion of these shapes and present methods for the approximation of general curves and surfaces by them. Based on the rich theory of spherical spline functions, this leads to computational techniques for rational curves and surfaces with rational offsets, which can deal with shapes without inflections/parabolic points." . . "Curves and surfaces represented by polynomial support fuctions"@en . "[53F6165D1BD4]" . . "RIV/00216208:11320/08:00100603" . "Tento \u010Dl\u00E1nek suduje tvary (k\u0159ivky a plochy), kter\u00E9 mohou b\u00FDt pops\u00E1ny polynomi\u00E1ln\u00ED op\u011Brnou funkc\u00ED."@cs . "1"^^ . . . . "392" . . . . "0304-3975" . . "Theoretical Computer Science" . "Curves and surfaces represented by polynomial support fuctions" . . "K\u0159ivky a plochy reprezentovan\u00E9 polynomi\u00E1ln\u00ED op\u011Brnou funkc\u00ED"@cs . "361806" . "\u0160\u00EDr, Zbyn\u011Bk" . "Curves; surfaces; represented; polynomial; support; fuctions"@en . "Juettler, Bert" . . . "K\u0159ivky a plochy reprezentovan\u00E9 polynomi\u00E1ln\u00ED op\u011Brnou funkc\u00ED"@cs . "Gravesen, Jens" . "This paper studies shapes (curves and surfaces) which can be described by (piecewise) polynomial support functions. The class of these shapes is closed under convolutions, offsetting, rotations and translations. We give a geometric discussion of these shapes and present methods for the approximation of general curves and surfaces by them. Based on the rich theory of spherical spline functions, this leads to computational techniques for rational curves and surfaces with rational offsets, which can deal with shapes without inflections/parabolic points."@en . . "11320" . . "17"^^ . "FR - Francouzsk\u00E1 republika" . . "Curves and surfaces represented by polynomial support fuctions" . "RIV/00216208:11320/08:00100603!RIV09-MSM-11320___" . "3"^^ . "000253871900011" . .