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...
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...
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...
: 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 ...
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...