Geodesic
The Convolution of a Paraboloid and a Parametrized Surface
Journal for geometry and graphics, Tome 7 (2003) no. 2, pp. 157-172.

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 51N20, 53A05
Mots-clés : convolution surface, paraboloid, quadric, offsets, rational parametrization, parabola, conic 
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     title = {The {Convolution} of a {Paraboloid} and a {Parametrized} {Surface}},
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M. Peternell; F. Manhart. The Convolution of a Paraboloid and a Parametrized Surface. Journal for geometry and graphics, Tome 7 (2003) no. 2, pp. 157-172. http://geodesic.mathdoc.fr/item/JGG_2003_7_2_JGG_2003_7_2_a3/