7 search results - page 1 / 2 » Rational two-parameter families of spheres and rational offs... |
JSC
2010
12 years 11 months ago
2010
The present paper investigates two-parameter families of spheres in R3 and their corresponding two-dimensional surfaces in R4 . Considering a rational surface in R4 , the envelo...
CAD
2010
Springer
13 years 4 months ago
2010
Springer
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...
CAGD
2008
13 years 4 months ago
2008
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...
CAGD
1998
13 years 4 months ago
1998
Laguerre geometry provides a simple approach to the design of rational curves and surfaces with rational offsets. These so-called PH curves and PN surfaces can be constructed from...
ISSAC
2000
Springer
13 years 8 months ago
2000
Springer
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...