کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639836 1341252 2011 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The correspondence between multivariate spline ideals and piecewise algebraic varieties
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The correspondence between multivariate spline ideals and piecewise algebraic varieties
چکیده انگلیسی

As a piecewise polynomial with a certain smoothness, the spline plays an important role in computational geometry. The algebraic variety is the most important subject in classical algebraic geometry. As the zero set of multivariate splines, the piecewise algebraic variety is a generalization of the algebraic variety. In this paper, the correspondence between piecewise algebraic varieties and spline ideals is discussed. Furthermore, Hilbert’s Nullstellensatz for the piecewise algebraic variety is also studied.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 5, 1 October 2011, Pages 793–800
نویسندگان
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