Computing bivariate splines in scattered data fitting and the finite-element method
نویسندگان
چکیده
منابع مشابه
Local RBF Approximation for Scattered Data Fitting with Bivariate Splines
In this paper we continue our earlier research [4] aimed at developing efficient methods of local approximation suitable for the first stage of a spline based two-stage scattered data fitting algorithm. As an improvement to the pure polynomial local approximation method used in [5], a hybrid polynomial/radial basis scheme was considered in [4], where the local knot locations for the RBF terms w...
متن کاملLocal hybrid approximation for scattered data fitting with bivariate splines
We suggest a local hybrid approximation scheme based on polynomials and radial basis functions, and use it to improve the scattered data fitting algorithm of [7]. Similar to that algorithm, the new method has linear computational complexity and is therefore suitable for large real world data. Numerical examples suggest that it can produce high quality artifact–free approximations that are more ...
متن کاملScattered Data Fitting with Nonnegative Preservation using Bivariate Splines and Its Application
We study how to use bivariate splines for scattered data interpolation and fitting with preservation of non-negativity of the data values. We propose a minimal energy method to find a C1 smooth interpolation/fitting of non-negative data values from scattered locations based on bivariate splines. We establish the existence and uniqueness of the minimizer under mild assumptions on the data locati...
متن کاملScattered data interpolation by bivariate splines with higher approximation order
Given a set of scattered data, we usually use a minimal energy method to find Lagrange interpolation based on bivariate spline spaces over a triangulation of the scattered data locations. It is known that the approximation order of the minimal energy spline interpolation is only 2 in terms of the size of triangulation. To improve this order of approximation, we propose several new schemes in th...
متن کاملFitting Triangular B-Splines to Functional Scattered Data
Scattered data is, by definition, irregularly spaced. Uniform surface schemes are not well adapted to the locally varying nature of such data. Conversely, Triangular B-Spline surfaces2 are more flexible in that they can be built over arbitrary triangulations and thus can be adapted to the scattered data. This paper discusses the use of DMS spline surfaces for approximation of scattered data. A ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Numerical Algorithms
سال: 2008
ISSN: 1017-1398,1572-9265
DOI: 10.1007/s11075-008-9175-x