基于最小二乘的复杂曲面检测方法研究

提出一种基于数模打点、阵列粘贴、迭代法建立坐标系、改进最小二乘法运算的复杂曲面检测方法。给出了六点迭代法建立复杂曲面检测坐标系的算法步骤，再结合3-2-1法进行了坐标系的创建。提出利用阵列粘贴等方法进行检测点的快速生成并对复杂曲面进行检测，并采用本文给出的改进最小二乘法进行计算机数据处理。本文检测方法有效克服了传统方法测量时，测头易发生干涉，同时存在检测项目多、检测效率低等缺点，能有效提高复杂曲面检测的精度并缩短检测时间。通过多次的检测分析，结果表明本文提出的方法易于编程，测量迅速，测量结果准确、可靠。借助于本文方法可以解决从事检测行业及相关人员在三维检测中的短板，提高检测的效率和解决问题的能力。

Research on Complex Surface Detection Based on Least Squares

A complex surface detection method based on numerical simulation, array pasting, iterative method to establish coordinate system and improved least square method is proposed. The six-point iterative method is given to establish the algorithmic steps of the complex surface detection coordinate system. Then the 3-2-1 method is used to create the coordinate system. This paper proposes the method of array sticking and other methods to detect the point quickly and detect the complex surface. The improved Least Square Method proposed in this paper is used for computer data processing. The detection method in this paper effectively overcomes the shortcomings of the probe when the traditional method is used for measuring, and it has the disadvantages of multiple detection items and low detection efficiency, which can effectively improve the accuracy of complex surface detection and shorten the detection time. Through multiple tests and analysis, the results show that the proposed method is easy to program, the measurement is rapid, and the measurement results are accurate and reliable. With this method, we can solve the short board in the detection industry and related personnel in the three-dimensional detection, improve the detection efficiency and ability to solve problems.