Abstract
The posture optimization of a moving object for collision avoidance is one of important issues to control production resources such as 5 axis machine tools, robots and so on. In generally, a rotating matrix, which changes the posture of the object in an appropriate direction, consists of trigonometric functions, or no-linear functions. In this paper, a new set of equivalent constraints in the rotating matrix is proposed to plan the optimum posture of the object by mixed integer programming.