"RIV/49777513:23520/10:00503431!RIV11-MSM-23520___" . "3"^^ . "M. D\u00E6hlen et al. (Eds.): Mathematical Methods for Curves and Surfaces 2008, Lecture Notes in Computer Science" . "3"^^ . "Given two parametric planar curves or surfaces we find their new parameterizations (which we call coherent) permitting to compute their convolution by simply adding the points with the same parameter values. Several approaches based on rational reparameterization of one or both input objects or direct computation of new parameterizations are shown. Using the Gr\u00F6bner basis theory we decide the simplest possible way for obtaining coherent parametrizations. We also show that coherent parameterizations exist whenever the convolution hypersurface is rational." . "Reparameterization of Curves and Surfaces with Respect to Their Convolution"@en . . "[7117803CADA8]" . "RIV/49777513:23520/10:00503431" . "\u0160\u00EDr, Zbyn\u011Bk" . "Convolution hypersurfaces; support function representation; implicit support function representation; rational parameterization"@en . "2010" . "Bastl, Bohum\u00EDr" . . . . . "0302-9743" . "14"^^ . "L\u00E1vi\u010Dka, Miroslav" . "23520" . . . . "Reparameterization of Curves and Surfaces with Respect to Their Convolution" . "Reparameterization of Curves and Surfaces with Respect to Their Convolution" . "284829" . . . . . . . . . . "DE - Spolkov\u00E1 republika N\u011Bmecko" . "Z(MSM4977751301)" . "Given two parametric planar curves or surfaces we find their new parameterizations (which we call coherent) permitting to compute their convolution by simply adding the points with the same parameter values. Several approaches based on rational reparameterization of one or both input objects or direct computation of new parameterizations are shown. Using the Gr\u00F6bner basis theory we decide the simplest possible way for obtaining coherent parametrizations. We also show that coherent parameterizations exist whenever the convolution hypersurface is rational."@en . "5862" . "Reparameterization of Curves and Surfaces with Respect to Their Convolution"@en . .