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Spacetime Constraints Carnegie Mellon School (时空约束卡内基梅隆大学学校)
Spacetime Constraints
Andrew Witkin
Michael Kass
Schlumberger Palo Alto Research
3340 Hillview Avenue, Palo Alto, CA 94304
Abstract Siggraph ’87 [9]. Although Luxo, Jr. showed us that the
team of animator, keyframe system, and renderer can be
Spacetime constraints are a new method for creating char- a powerful one, the responsibility for defining the motion
acter animation. The animator specifies what the character remains almost entirely with the animator.
has to do, for instance, “jump from here to there, clearing a Some aspects of animation—personality and appeal, for
hurdle in between;” how the motion should be performed, example—will surely be left to the animator’s artistry and
for instance “don’t waste energy,” or “come down hard skill for a long time to come. However, many of the prin-
enough to splatter whatever you land on;” the character’s ciples of animation are concerned with making the charac-
physical structure—the geometry, mass, connectivity, etc. ter’s motion look real at a basic mechanical level that ought
of the parts; and the physical resources available to the to admit to formal physical treatment. Consider for exam-
character to accomplish the motion, for instance the char- ple a jump exhibiting anticipation, squash-and-stretch, and
acter’s muscles, a floor to push off from, etc. The require- follow-through. Any creature—human or lamp—can only
ments contained in this descri
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