Implicit representation of rational parametric surfaces
نویسندگان
چکیده
منابع مشابه
Implicitization of Rational Parametric Surfaces
A generalized projective implicitization theorem is presented that can be used to solve the implicitization of rational parametric curves and surfaces in an affine space. The Groebner bases technique is used to implement the algorithm. The algorithm has the advantages that it can handle base points in a parametrization, and no extra factors will be introduced into an implicit equation. The comp...
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متن کاملImplicitization of Rational Parametric Curves and Surfaces
In this paper we use Gröbner bases for the implicitization of rational parametric curves and surfaces in 3D-space. We prove that the implicit form of a curve or surface given by the rational parametrization x1 := p1 q1 x2 := p2 q2 x3 := p3 q3 , where the p’s and q’s are univariate polynomials in y1 or bivariate polynomials in y1, y2 over a field K, can always be found by computing GB({q1 · x1 −...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 1992
ISSN: 0747-7171
DOI: 10.1016/s0747-7171(10)80008-2