|
Journal Home Page
Cumulative Index
List of all Volumes
Complete Contents
of this Volume
Previous Article
Next Article
|
|
Journal for Geometry and Graphics 7 (2003), No. 2, 157--172
Copyright Heldermann Verlag 2003
The Convolution of a Paraboloid and a Parametrized Surface
Martin Peternell
Institute of Geometry, Vienna University of Technology, Wiedner Hauptstr. 8-10/113,
1040 Wien, Austria,
peternell@geometrie.tuwien.ac.at
Friedrich Manhart
Institute of Geometry, Vienna University of Technology, Wiedner Hauptstr. 8-10/113,
1040 Wien, Austria,
manhart@geometrie.tuwien.ac.at
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.
FullText-pdf (1028 KB) for subscribers only.
|