15 search results - page 1 / 3 » Rational surfaces with linear normals and their convolutions... |
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...
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 (...
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...
SMI
2010
IEEE
13 years 9 months ago
2010
IEEE
Abstract—We exhibit the essentially unique projective linear (rational linear) reparameterization for constructing Cs surfaces of genus g > 0. Conversely, for quadrilaterals a...
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...