کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4607562 1337869 2011 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A piecewise polynomial approach to analyzing interpolatory subdivision
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A piecewise polynomial approach to analyzing interpolatory subdivision
چکیده انگلیسی
The four-point interpolatory subdivision scheme of Dubuc and its generalizations to irregularly spaced data studied by Warren and by Daubechies, Guskov, and Sweldens are based on fitting cubic polynomials locally. In this paper, we analyze the convergence of the scheme by viewing the limit function as the limit of piecewise cubic functions arising from the scheme. This allows us to recover the regularity results of Daubechies et al. in a simpler way and to obtain the approximation order of the scheme and its first derivative.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 163, Issue 11, November 2011, Pages 1547-1563
نویسندگان
,