Analyzing and validating the defect of Hough transform and circle fitting method contraposing the issue of concentric circles detection in high precision measurement base on image. The detect method is made use of circle fitting after partitioned the region of image plane is presented based on the axis of system and axial symmetry are superposition. Two algorithm for region partition based on distance space clustering and random sample are found. The limit of initial value error is given. The new algorithm is approve of simple,efficiency and credibility through experimentation. And the algorithm based on random sample fit real time application.