698 search results - page 1 / 140 » On rationally supported surfaces |
CAGD
2008
13 years 11 months ago
2008
We analyze the class of surfaces which are equipped with rational support functions. Any rational support function can be decomposed into a symmetric (even) and an antisymmetric (...
CAGD
2006
13 years 11 months ago
2006
We identify a class of monomial supports that are inherently improper because any surface rational parametrization defined on them is improper. A surface support is inherently imp...
TCS
2008
13 years 11 months ago
2008
This paper studies shapes (curves and surfaces) which can be described by (piecewise) polynomial support functions. The class of these shapes is closed under convolutions, offsett...
JSC
2010
13 years 6 months ago
2010
The present paper investigates two-parameter families of spheres in R3 and their corresponding two-dimensional surfaces in R4 . Considering a rational surface in R4 , the envelo...
CAGD
2006
13 years 11 months ago
2006
It is shown that polynomial (or rational) parametric surfaces with a linear field of normal vectors are dual to graphs bivariate polynomials (or rational functions). We discuss th...