关键词: 圆心拟合, 圆心点阵排序, 随机抽样一致, 最小二乘, 向量夹角

Abstract: Towards to the problems of inconvenient to automatic camera calibration by the traditional circular target, and low precision of the circle extracting and the influence of circle points sorting result by the rotation angle of the target, a new circular target suitable for the automatic camera calibration is designed, a circle fitting method by the least squares based on the random sample consensus, and a sorting method based on the vector angle are proposed. The experimental results show that compared with the traditional least squares method, the mean fitting error is 0.006?1 pixels by the proposed arithmetic, and the sorting arithmetic can sort the circle points fast and accurately for random rotation angle of the target, and the mean sorting time is 0.009?6 seconds. The proposed arithmetic is easy to realize the automatic calibration online.

Key words: circle fitting, circle points sorting, Random Sample Consensus（RANSAC）, least squares, vector angle