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...
In the paper, the geometric Lagrange interpolation by quadratic parametric patches is considered. The freedom of parameterization is used to raise the number of interpolated point...
This survey presents several techniques for solving variants of the following scattered data interpolation problem: given a nite set of N points in R3, nd a surface that interpola...
We address the problem of texture mapping implicit surfaces. Recent work in providing 2D mappings for implicit surfaces maps points from a auxiliary parametric surface to the impl...
The purpose of this paper is to provide sufficient geometric conditions that imply the existence of a cubic parametric polynomial curve which interpolates six points in the plane....