کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
401734 | 675455 | 2008 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Near-optimal parameterization of the intersection of quadrics: II. A classification of pencils
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We present here the first classification of pencils of quadrics based on the type of their intersection in real projective space and we show how this classification can be used to compute efficiently the type of the real intersection. This classification is at the core of the design of the algorithms, presented in Part III, for computing, in all cases of singular intersection, a near-optimal parameterization with polynomial functions, that is a parameterization in projective space whose coordinate functions are polynomial and such that the number of distinct square roots appearing in the coefficients is at most one away from the minimum.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 43, Issue 3, March 2008, Pages 192-215
Journal: Journal of Symbolic Computation - Volume 43, Issue 3, March 2008, Pages 192-215