منابع مشابه
Local parametrization of cubic surfaces
Algebraic surfaces – which are frequently used in geometric modeling – are represented either in implicit or parametric form. Several techniques for parameterizing a rational algebraic surface as a whole exist. However, in many applications, it suffices to parameterize a small portion of the surface. This motivates the analysis of local parametrizations, i.e., parametrizations of a small neighb...
متن کاملImplicitization and parametrization of nonsingular cubic surfaces
In this paper we unify the two subjects of implicitization and parametrization of nonsingular cubic surfaces. Beginning with a cubic parametrization with six basepoints, we first form a three by four Hilbert–Burch matrix, and then a three by three matrix of linear forms whose determinant is the implicit equation. Beginning with an implicit equation, we show how to construct a three by three mat...
متن کاملGeometric Information and Rational Parametrization of Nonsingular Cubic Blending Surfaces
The techniques for parametrizing nonsingular cubic surfaces have shown to be of great interest in recent years. This paper is devoted to the rational parametrization of nonsingular cubic blending surfaces. We claim that these nonsingular cubic blending surfaces can be parametrized using the symbolic computation due to their excellent geometric properties. Especially for the specific forms of th...
متن کاملParametrization of approximate algebraic surfaces by lines
In this paper we present an algorithm for parametrizing approximate algebraic surfaces by lines. The algorithm is applicable to ε-irreducible algebraic surfaces of degree d having an ε-singularity of multiplicity d − 1, and therefore it generalizes the existing approximate parametrization algorithms. In particular, given a tolerance ε > 0 and an ε-irreducible algebraic surface V of degree d , t...
متن کاملRadical parametrization of algebraic curves and surfaces
Parametrization of algebraic curves and surfaces is a fundamental topic in CAGD (intersections; offsets and conchoids; etc.) There are many results on rational parametrization, in particular in the curve case, but the class of such objects is relatively small. If we allow root extraction, the class of parametrizable objetcs is greatly enlarged (for example, elliptic curves can be parametrized w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2006
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2005.06.001