کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
441167 691393 2013 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A partial solution to the problem of proper reparametrization for rational surfaces
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
A partial solution to the problem of proper reparametrization for rational surfaces
چکیده انگلیسی

Given an algebraically closed field KK, and a rational parametrization PP of an algebraic surface V⊂K3V⊂K3, we consider the problem of computing a proper rational parametrization QQ from PP (reparametrization problem  ). More precisely, we present an algorithm that computes a rational parametrization QQ of VV such that the degree of the rational map induced by QQ is less than the degree induced by PP. The properness of the output parametrization QQ is analyzed. In particular, if the degree of the map induced by QQ is one, then QQ is proper and the reparametrization problem is solved. The algorithm works if at least one of two auxiliary parametrizations defined from PP is not proper.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 30, Issue 8, November 2013, Pages 743–759
نویسندگان
,