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Recently ， thc productive system that rccognizes changes in the environment is requested on the production site． There， to reoognize changcs i皿 the environment we usc cameras ． Moreover， the system composed of the camera and thc manipulator is called a hand−eye system ， and the hand − eye calibrat 正 on is needed in this system ． Even ifthe errQr from the calibration positien of the camera and the manipulator is minute ， re − calibration is needed in this calibration method ． It takes time to the calculation of the projection matrix to make the image coordinates and the three − dimenslonal coordinate correspond in re − calibration ． Then ， the change in the positien of the camera and the manipulator is recognized by the landmark in this study ． And ， we proposcs the technique for correcting it to former three − dimensional position without calculating the projcction matrix again by correcting the image coordinates ， and effectiveness 重 s verified by the experimen し