Approximation by smoothing variational vector splines for noisy data

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• 作者：A. Kouibia ; M. Pasadas
• 关键词：Variational curve ; Variational surface ; Smoothing ; Fairness constraint ; Noisy data ; Spline
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2008
• 期刊代码：72_03770427
• 类别：cp
• 出版时间：1 February 2008
• 卷：211
• 期：2
• 页码：213-222
• 文件大小：174 K

摘要

This paper addresses the problem of constructing some free-form curves and surfaces from given to different types of data: exact and noisy data. We extend the theory of D^m-splines over a bounded domain for noisy data to the smoothing variational vector splines. Both results of convergence for respectively the exact and noisy data are established, as soon as some estimations of errors are given.