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针对在工程应用中,经常需要根据某些圆形物体上的离散点求取其圆心坐标,而采用何种算法简单易行,其精度又与哪些因素有关的相关研究较少的问题,该文提出一种利用曲线拟合求取圆心坐标的简洁算法,并编程实现。然后采用模拟仿真结合统计分析的方法评估了该算法在不同条件下的拟合精度,得出测点误差越大,拟合精度越低;测点个数越多,分布越均匀,拟合精度越高;圆半径对拟合精度影响甚小等结论。在某工程项目中使用该算法得到的结果精度较高,验证了其有效可行,且与采用其他方法得到的坐标值较为接近,说明了该算法的可靠性高。
In engineering applications, it is often necessary to find the coordinates of the center of a circle from discrete points on some circular objects, and what algorithm is easy to use and its accuracy is related to what factors are less related to the study. A concise algorithm for calculating the coordinates of the center of a circle using curve fitting is proposed and programmed. Then, the simulation accuracy and the accuracy of the algorithm under different conditions were evaluated by the method of simulation and statistical analysis. The results showed that the larger the error of the measurement points, the lower the fitting accuracy. The more the number of measurement points, the more uniform the distribution and the fitting accuracy The higher the radius of the circle has little effect on the fitting accuracy and other conclusions. The result of using this algorithm in a project has high precision, which is validated and validated. Compared with other methods, the result shows that the algorithm is more reliable.