For subdivision surfaces, it is important to characterize local shape near flat spots and points where the surface is not twice continuously differentiable. Applying general princ...
Topologically consistent algorithms for the intersection and trimming of free-form parametric surfaces are of fundamental importance in computer-aided design, analysis, and manufa...
Rida T. Farouki, Chang Yong Han, Joel Hass, Thomas...
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...
For a surface patch on a smooth, two-dimensional surface in IR3 , low-distortion parameterizations are described in terms of minimizers of suitable energy functionals. Appropriate...
In surface restoration usually a damaged region of a surface has to be replaced by a surface patch which restores the region in a suitable way. In particular one aims for C1-conti...
Ulrich Clarenz, Udo Diewald, G. Dziuk, Martin Rump...
Almost rotation minimizing parametrization of the canal surface is given. The basic building block of our approach is the curve approximation scheme that enables us to construct a...
We present a new approach toward the rational parametrization of canal surfaces. According to our previous work, every canal surface with rational (respectively polynomial)spine c...
Hee Cheol Cho, Hyeong In Choi, Song-Hwa Kwon, Doo ...
A scheme is proposed based on an extension of Analytic Geometry to represent a composite curve either with a single equation or with two equations in the case of parametric repres...