Journal for Geometry and Graphics 7 (2003), No. 2, 157--172
Copyright Heldermann Verlag 2003
The Convolution of a Paraboloid and a Parametrized Surface
Institute of Geometry, Vienna University of Technology, Wiedner Hauptstr. 8-10/113, 1040 Wien, Austria, firstname.lastname@example.org
Institute of Geometry, Vienna University of Technology, Wiedner Hauptstr. 8-10/113, 1040 Wien, Austria, email@example.com
We investigate the computation of parametrizations of convolution surfaces of paraboloids and arbitrary parametrized surfaces. In particular it will turn out that the addressed problem is linear such that the convolution of a paraboloid and a rational surface admits rational parametrizations. In addition, the convolution of paraboloids and surfaces from special classes, like ruled surfaces or surfaces of rotation will be studied.
Keywords: convolution surface, paraboloid, quadric, offsets, rational parametrization, parabola, conic.
MSC: 51N20; 53A05.
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