Geodesic
The Convolution of a Paraboloid and a Parametrized Surface
Journal for geometry and graphics, Tome 7 (2003) no. 2, pp. 157-172 Cet article a éte moissonné depuis la source Heldermann Verlag

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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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     author = {M. Peternell and F. Manhart},
     title = {The {Convolution} of a {Paraboloid} and a {Parametrized} {Surface}},
     journal = {Journal for geometry and graphics},
     pages = {157--172},
     year = {2003},
     volume = {7},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JGG_2003_7_2_JGG_2003_7_2_a3/}
}
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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/