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CAGD
2008
154views more  CAGD 2008»
13 years 11 months ago
From extension of Loop's approximation scheme to interpolatory subdivisions
The minimum-supported bivariate C2-cubic spline on a 6-directional mesh constructed in our previous work [2] can be used to extend Loop's approximation subdivision scheme to ...
Charles K. Chui, Qingtang Jiang
CAGD
2008
105views more  CAGD 2008»
13 years 11 months ago
Nonlinear subdivision through nonlinear averaging
S. Schaefer, E. Vouga, R. Goldman
CAGD
2008
124views more  CAGD 2008»
13 years 11 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
2008
104views more  CAGD 2008»
13 years 11 months ago
On the curvature of guided surfaces
Following [KP07], we analyze surfaces arising as an infinite sequence of guided C2 surface rings. However, here we focus on constructions of too low a degree to be curvature conti...
Kestutis Karciauskas, Jörg Peters
CAGD
2008
79views more  CAGD 2008»
13 years 11 months ago
A family of subdivision schemes with cubic precision
Kai Hormann, Malcolm A. Sabin
CAGD
2008
112views more  CAGD 2008»
13 years 11 months ago
On the approximation order of tangent estimators
A classic problem in geometric modelling is curve interpolation to data points. Some of the existing interpolation schemes only require point data, whereas others, require higher ...
G. Albrecht, J.-P. Bécar, Gerald E. Farin, ...
CAGD
2008
158views more  CAGD 2008»
13 years 11 months ago
On the deviation of a parametric cubic spline interpolant from its data polygon
When fitting a parametric curve through a sequence of points, it is important in applications that the curve should not exhibit unwanted oscillations. In this paper we take the vi...
Michael S. Floater