The Least Squares Surface Optimization Based On Orthogonal Function

摘要：

It is always necessary to improve fitting order and increase surface control points with least squares method for surface fitting to meet the accuracy of surface reconstruction, however, with the increasing of control points, the surface smoothness and curvature continuity become worse. According to the inadequacy of the least squares method for surface fitting, the surface optimization algorithm based on orthogonal function is proposed in this paper, which can ensure both reconstruction accuracy and surface smoothness. 3x3 order surface and 36 control points are applied in surface fitting with the maximum error only 0.057mm in surface reconstruction, as well as the surface is G2 continuous. Experimental results show that the proposed optimization algorithm achieves the best matching of surface control points, surface curvature and reconstruction precision, and improves the quality of surface fitting.

关键词： reverse engineering optimization algorithm based on orthogonal function surface reconstruction reconstruction error

作者: Wu Lushen Gao Hongwei Meng Fanwen

作者单位: School of Mechanical and Electrical Engineering Nanchang University, Nanchang, 330031, China

会议类型: 国际会议

会议名称: 2010 International Conference on Digital Manufacturing and Automation(2010 数字制造与自动化国际会议 ICDMA 2010)

会议地点: 长沙

会议语种:英文

页码: 712-715

在线出版日期: 2010-12-18（万方平台首次上网日期，不代表论文的发表时间）