An efficient method that finds collision-free paths for a manipulator with six revolute joints is described. A global structure of the free space in the three-dimensional (3-D) joint space of the arm of a large open space in the workspace, defined as a space where any orientation of the hand is possible, is represented in this description.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Hasegawa et al. (1988) studied this question.
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