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CAGD
2008
124views more  CAGD 2008»
13 years 8 months ago
All triangulations are reachable via sequences of edge-flips: an elementary proof
A simple proof is provided for the fact that the set of all possible triangulations of a planar point set in a polygonal domain is closed under the basic diagonal flip operation.
Eliyahu Osherovich, Alfred M. Bruckstein
CAGD
2006
78views more  CAGD 2006»
13 years 8 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
94views more  CAGD 2006»
13 years 8 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
2005
112views more  CAGD 2005»
13 years 8 months ago
A second order algorithm for orthogonal projection onto curves and surfaces
In this paper we analyze an algorithm which solves the point projection and the "inversion" problems for parametric curves and surfaces. It consists of a geometric secon...
Shi-Min Hu, Johannes Wallner
CAGD
2005
111views more  CAGD 2005»
13 years 8 months ago
On geometric interpolation of parametric surfaces
By exploiting the freedom in the choice of parametrization of a parametric surface, we show that there exist quadratic parametric surfaces that approximate a given parametric surf...
Knut Mørken