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Computational Studies of Human Motion: Part 1, Tracking and Motion Synthesis reviews methods for kinematic tracking of the human body in video. The review confines itself to the earlier stages of motion, focusing on tracking and motion synthesis. There is an extensive discussion of open issues. The authors identify some puzzling phenomena associated with the choice of human motion representation --- joint angles vs. joint positions. The review concludes with a quick guide to resources and an extensive bibliography of over 400 references. Computational Studies of Human Motion: Part 1, Tracking and Motion Synthesis is an invaluable reference for those engaged in computational geometry, computer graphics, image processing, imaging in general, and robotic.