Scattered noisy Hermite data fitting using an extension of the weighted least squares method

作者：Zhou Tianhe; Li Zhong^*

来源：Computers & Mathematics with Applications, 2013, 65(12): 1967-1977.

DOI：10.1016/j.camwa.2013.04.011

• Bivariate spline
• Scattered Hermite data with noise
• Extension of the weighted least squares method

Given a set of scattered Hermite data with noise, we use an extension of the weighted least squares method to find the solution based on the bivariate spline. This method can adjust some weights according to different noise sizes to get a better approximation. We show that our method produces a unique spline to fit the data. Also we give the error bound for the method: In addition, we give some probability analysis for our method. Finally, we present some numerical experiments to demonstrate the performance of our method.

• 出版日期2013-8
• 单位浙江理工大学