A weighted least squares method for scattered data fitting

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摘要

In this paper, we present a weighted least squares method to fit scattered data with noise. Existence and uniqueness of a solution are proved and an error bound is derived. The numerical experiments illustrate that our weighted least squares method has better performance than the traditional least squares method in case of noisy data.

论文关键词：Weighted least squares method,Bernstein–Bezier representation of spline,Scattered data

论文评审过程：Received 9 November 2006, Revised 10 June 2007, Available online 16 June 2007.

论文官网地址：https://doi.org/10.1016/j.cam.2007.06.015