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CAGD
2004
141views more  CAGD 2004»
13 years 5 months ago
Almost rotation-minimizing rational parametrization of canal surfaces
Almost rotation minimizing parametrization of the canal surface is given. The basic building block of our approach is the curve approximation scheme that enables us to construct a...
Hyeong In Choi, Song-Hwa Kwon, Nam-Sook Wee
CAGD
2004
136views more  CAGD 2004»
13 years 5 months ago
Clifford algebra, Lorentzian geometry, and rational parametrization of canal surfaces
We present a new approach toward the rational parametrization of canal surfaces. According to our previous work, every canal surface with rational (respectively polynomial)spine c...
Hee Cheol Cho, Hyeong In Choi, Song-Hwa Kwon, Doo ...
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...
CAGD
1998
99views more  CAGD 1998»
13 years 5 months ago
A Laguerre geometric approach to rational offsets
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...
Martin Peternell, Helmut Pottmann
CAGD
2006
72views more  CAGD 2006»
13 years 5 months ago
Inherently improper surface parametric supports
We identify a class of monomial supports that are inherently improper because any surface rational parametrization defined on them is improper. A surface support is inherently imp...
Eng-Wee Chionh, Xiao-Shan Gao, Liyong Shen