Proper Reparametrization of Rational Ruled Surface
نویسندگان
چکیده
منابع مشابه
The mu-basis of a rational ruled surface
The mu-basis of a planar rational curve is a polynomial ideal basis comprised of two polynomials that greatly facilitates computing the implicit equation of the curve. This paper defines a mu-basis for a rational ruled surface, and presents a simple algorithm for computing the mu-basis. The mu-basis consists of two polynomials p(x, y, z, s) and q(x, y, z, s) that are linear in x, y, z and degre...
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The μ-basis of a rational ruled surface P(s, t) = P0(s)+tP1(s) is defined in Chen et al. (Comput. Aided Geom. Design 18 (2001) 61) to consist of two polynomials p(x, y, z, s) and q(x, y, z, s) that are linear in x, y, z. It is shown there that the resultant of p and q with respect to s gives the implicit equation of the rational ruled surface; however, the parametric equation P(s, t) of the rat...
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We present an algorithm that covers any given rational ruled surface with two rational parametrizations. In addition, we present an algorithm that transforms any rational surface parametrization into a new rational surface parametrization without affine base points and such that the degree of the corresponding maps is preserved.
متن کاملNumerical proper reparametrization of parametric plane curves
Proper reparametrization is a basic simplifying process for rational parameterized curves. There are complete results proposed for the curves with exact coefficients but few papers discuss the situations with numerical coefficients which have many practical applications. In this paper, we deal with mathematical objects that are assumed to be given approximately. The approximate improper index i...
متن کاملCharacterization of Rational Ruled Surfaces
The ruled surface is a typical modeling surface in computer aided geometric design. It is usually given in the standard parametric form. However, it can also be in the forms than the standard one. For these forms, it is necessary to determine and find the standard form. In this paper, we present algorithms to determine whether a given implicit surface is a rational ruled surface. A parametrizat...
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ژورنال
عنوان ژورنال: Journal of Computer Science and Technology
سال: 2008
ISSN: 1000-9000,1860-4749
DOI: 10.1007/s11390-008-9131-1