کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626639 1631789 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Implicit local radial basis function interpolations based on function values
ترجمه فارسی عنوان
تطبیق تابع پایه ای شعاعی داخلی بر اساس مقادیر تابع
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

In this paper we propose two fast localized radial basis function fitting algorithms for solving large-scale scattered data interpolation problems. For each given point in the given data set, a local influence domain containing a small number of nearest neighboring points is established and a global interpolation is performed within this restricted domain. A sparse matrix is formulated based on the global interpolation in these local influence domains. The proposed methods have achieved both low computational cost and minimal memory storage. In comparison with the compactly supported radial basis functions, the proposed fitting algorithms are highly accurate. The numerical examples have provided strong evidence that the two proposed algorithms are indeed highly efficient and accurate. In the two proposed algorithms, we have successfully solved a large-scale interpolation problem with 225,000 interpolation points in two dimensional space.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 265, 15 August 2015, Pages 91–102
نویسندگان
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