Least Square Approximation and Analysis for Scattered Data-Based on Orthogonal GF System

CAI Zhanchuan; CHEN Wei

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Least Square Approximation and Analysis for Scattered Data-Based on Orthogonal GF System

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- Least Square Approximation and Analysis for Scattered Data-Based on Orthogonal GF System
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 52, Issue 5, Pages: 73-77(2013)
- 作者机构：
  
  澳门科技大学资讯科技学院,澳门
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013，
  
  Published Online：25 October 2013，
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CAI Zhanchuan, CHEN Wei. Least Square Approximation and Analysis for Scattered Data-Based on Orthogonal GF System. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(5):73-77(2013)
DOI：

CAI Zhanchuan, CHEN Wei. Least Square Approximation and Analysis for Scattered Data-Based on Orthogonal GF System. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(5):73-77(2013) DOI：

摘要

提出了一种散乱数据的正交表示方法，该方法利用正交GF系统来逼近或插值给定的散乱数据点集。k（k为非负整数）次GF系统是一类正交样条函数系，Haar函数及Franklin正交函数恰好分别是k=0及k=1时的特殊情形。基于GF系统，提出了求解散乱数据问题的新的能量模型，根据该能量模型的频谱，可以对散乱数据进行不同层次的曲面重构。实验结果表明该方法高效且效果良好。

Abstract

Base on GF system，an orthogonal representation algorithm for scattered data is proposed. When k=0 and k=1

GF system are Haar functions and Franklin functions respectively. A new energy model is proposed to solve this problem based on GF system. According to GF spectrum

different hierarchical surfaces could be reconstructed for scattered data. The experiments show that the method proposed is efficient and can produce pleasing results.

关键词

散乱数据最佳平方逼近GF系统

Keywords

scattered dataleast square approximationGF system

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中山大学计算机科学系

Xinhua College，Sun Yatsen University

Department of Scientific Computation and Computer Application, Sun Yat-sen University,Guangzhou

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