A weighted least squares method for scattered data fitting

作者：Zhou Tianhe^*; Han Danfu

来源：Journal of Computational and Applied Mathematics, 2008, 217(1): 56-63.

DOI：10.1016/j.cam.2007.06.015

• weighted least squares method
• Bernstein-Bezier representation of spline
• scattered data

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.

• 出版日期2008-7-15
• 单位浙江大学