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CAGD
2006
75views more  CAGD 2006»
13 years 7 months ago
Rational quadratic circles are parametrized by chord length
We show that the chord length parameter assignment is exact for circle segments in standard rational quadratic form.
Gerald E. Farin
CAGD
2006
72views more  CAGD 2006»
13 years 7 months ago
Optimal properties of the uniform algebraic trigonometric B-splines
In this paper, we construct a matrix, which transforms a generalized C-B
Guozhao Wang, Yajuan Li
CAGD
2006
94views more  CAGD 2006»
13 years 7 months ago
High order approximation of rational curves by polynomial curves
We show that many rational parametric curves can be interpolated, in a Hermite sense, by polynomial curves whose degree, relative to the number of data being interpolated, is lowe...
Michael S. Floater
CAGD
2006
78views more  CAGD 2006»
13 years 7 months ago
Stationary subdivision schemes reproducing polynomials
A new class of subdivision schemes is presented. Each scheme in this class is a quasi-interpolatory scheme with a tension parameter, which reproduces polynomials up to a certain d...
Sung Woo Choi, Byung-Gook Lee, Yeon Ju Lee, Jungho...
CAGD
2006
81views more  CAGD 2006»
13 years 7 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