کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10325491 675396 2005 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Equations of parametric surfaces with base points via syzygies
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Equations of parametric surfaces with base points via syzygies
چکیده انگلیسی
Let S be a tensor product parametrized surface in P3; that is, S is given as the image of φ:P1×P1→P3. This paper will show that the use of syzygies in the form of a combination of moving planes and moving quadrics provides a valid method for finding the implicit equation of S when certain base points are present. This work extends the algorithm provided by Cox [Cox, D.A., 2001. Equations of parametric curves and surfaces via syzygies. In: Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering. Contemporary Mathematics vol. 286, pp. 1-20] for when φ has no base points, and it is analogous to some of the results of Busé et al. [Busé, L., Cox, D., D'Andrea, C., 2003. Implicitization of surfaces in P3 in the presence of base points. J. Algebra Appl. 2 (2), 189-214] for the case of a triangular parametrization φ:P2→P3 with base points.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 39, Issue 1, January 2005, Pages 73-101
نویسندگان
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