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» On rationally supported surfaces
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CAD
2010
Springer
13 years 6 months ago
Volumes with piecewise quadratic medial surface transforms: Computation of boundaries and trimmed offsets
MOS surfaces are rational surfaces in R3,1 which provide rational envelopes of the associated two-parameter family of spheres. Moreover, all the offsets admit rational parameteriz...
Bohumír Bastl, Bert Jüttler, Jir&iacut...
CAGD
2010
111views more  CAGD 2010»
13 years 6 months ago
Construction of rational surface patches bounded by lines of curvature
The fact that the Darboux frame is rotation
Luc Biard, Rida T. Farouki, Nicolas Szafran
ISSAC
2000
Springer
101views Mathematics» more  ISSAC 2000»
13 years 9 months ago
Symbolic parametrization of pipe and canal surfaces
A canal surface S, generated by a parametrized curve m(t), in R3 is the envelope of the set of spheres with radius r(t) centered at m(t). This concept generalizes the classical of...
Günter Landsmann, Josef Schicho, Franz Winkle...
EM
2010
130views Management» more  EM 2010»
13 years 6 months ago
On the Smallest Point on a Diagonal Cubic Surface
For diagonal cubic surfaces, we study the behaviour of the height of the smallest rational point versus the Tamagawa type number introduced by E. Peyre.
Andreas-Stephan Elsenhans, Jörg Jahnel
CAGD
2008
99views more  CAGD 2008»
13 years 6 months ago
On quadratic two-parameter families of spheres and their envelopes
In the present paper we investigate rational two-parameter families of spheres and their envelope surfaces in Euclidean R3. The four dimensional cyclographic model of the set of s...
Martin Peternell, Boris Odehnal, Maria Lucia Sampo...