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CAGD
2000
73views more  CAGD 2000»
13 years 8 months ago
Stability of the B-spline basis via knot insertion
We derive the stability inequality C i cibi for the B-splines bi from the formula for knot insertion. The key observation is that knot removal increases the norm of the B-spline ...
Klaus Höllig
CAGD
2002
61views more  CAGD 2002»
13 years 8 months ago
Polynomial parametrization of curves without affine singularities
This paper gives an algorithm for computing proper polynomial parametrizations for a particular class of curves. This class is characterized by the existence of a polynomial param...
Jaime Gutierrez, Rosario Rubio, Josef Schicho
CAGD
2002
156views more  CAGD 2002»
13 years 8 months ago
Explicit matrix representation for NURBS curves and surfaces
The matrix forms for curves and surfaces were largely promoted in CAD/CAM. In this paper we have presented two matrix representation formulations for arbitrary degree NURBS curves...
Ligang Liu, Guojin Wang
CAGD
1999
101views more  CAGD 1999»
13 years 8 months ago
Approximation algorithms for developable surfaces
By its dual representation, a developable surface can be viewed as a curve of dual projective 3-space. After introducing an appropriate metric in the dual space and restricting ou...
Helmut Pottmann, Johannes Wallner
CAGD
2004
73views more  CAGD 2004»
13 years 8 months ago
Interpolatory rank-1 vector subdivision schemes
The concept of stationary scalar subdivision being interpolatory does not always extend immediately to the vector valued case. We introduce the concepts of interpolating and data p...
Costanza Conti, Georg Zimmermann