کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
401913 676751 2008 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Topology of real algebraic space curves
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Topology of real algebraic space curves
چکیده انگلیسی

In this paper we give a new projection-based algorithm for computing the topology of a real algebraic space curve given implicitly by a set of equations. Under some genericity conditions, which may be reached through a linear change of coordinates, we show that a plane projection of the given curve, together with a special polynomial in the ideal of the curve contains all the information needed to compute its topological shape. Our method is also designed in such a way to exploit important particular cases such as complete intersection curves or curves contained in nonsingular surfaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 43, Issue 4, April 2008, Pages 235-258