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CAGD
2004
63views more  CAGD 2004»
13 years 8 months ago
Inflection points and singularities on C-curves
We show that all so-called C-curves are affine images of trochoids or sine curves and use this relation to investigate the occurrence of inflection points, cusps, and loops. The re...
Qinmin Yang, Guozhao Wang
CAGD
2004
136views more  CAGD 2004»
13 years 8 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 ...
CAGD
2008
119views more  CAGD 2008»
13 years 7 months ago
A local fitting algorithm for converting planar curves to B-splines
In this paper we present a local fitting algorithm for converting smooth planar curves to Bsplines. For a smooth planar curve a set of points together with their tangent vectors a...
Chongyang Deng, Xunnian Yang
CAGD
2008
99views more  CAGD 2008»
13 years 8 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...
CAGD
2006
81views more  CAGD 2006»
13 years 8 months ago
On the singularity of a class of parametric curves
We consider parametric curves that are represented by combination of control points and basis functions. We let a control point vary while the rest is held fixed. We show that the...
Imre Juhász