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» On the singularity of a class of parametric curves
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CAGD
2006
81views more  CAGD 2006»
13 years 11 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
CAGD
2002
61views more  CAGD 2002»
13 years 10 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
JSC
2008
126views more  JSC 2008»
13 years 9 months ago
Computing singular points of plane rational curves
We compute the singular points of a plane rational curve, parametrically given, using the implicitization matrix derived from the -basis of the curve. It is shown that singularity...
Falai Chen, Wenping Wang, Yang Liu
AMC
2007
95views more  AMC 2007»
13 years 11 months ago
On a new class parametrized Newton-like method for semismooth equations
: An extension of some smooth parametrized Newton-like method to the semismooth case is presented in this paper. Thus, the problems due to the fact the B-differential is singular ...
Marek J. Smietanski
CAGD
2008
99views more  CAGD 2008»
13 years 11 months ago
Topology and arrangement computation of semi-algebraic planar curves
We describe a new subdivision method to efficiently compute the topology and the arrangement of implicit planar curves. We emphasize that the output topology and arrangement are g...
Lionel Alberti, Bernard Mourrain, Julien Wintz