کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
401496 675371 2008 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A univariate resultant-based implicitization algorithm for surfaces
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
A univariate resultant-based implicitization algorithm for surfaces
چکیده انگلیسی

In this paper, we present a new algorithm for computing the implicit equation of a rational surface V from a rational parametrization . The algorithm is valid independent of the existence of base points, and is based on the computation of polynomial gcds and univariate resultants. Moreover, we prove that the resultant-based formula provides a power of the implicit equation. In addition, performing a suitable linear change of parameters, we prove that this power is indeed the degree of the rational map induced by the parametrization. We also present formulas for computing the partial degrees of the implicit equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 43, Issue 2, February 2008, Pages 118-139