Hierarchical spacetime control

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Hierarchical spacetime control

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Title: Hierarchical spacetime control
Author: Gortler, Steven; Liu, Zicheng; Cohen, Michael F.

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Citation: Liu, Zicheng, Steven J. Gortler, and Michael F. Cohen. 1994. Hierarchical spacetime control. In 21st Annual Conference on Computer Graphics (SIGGRAPH 1994), July 24-29, 1994, Orlando, Flor., ed. SIGGRAPH, 35-42. New York, N.Y.: Association for Computing Machinery.
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Abstract: Specifying the motion of an animated linked figure such that it achieves given tasks (e.g., throwing a ball into a basket) and performs the tasks in a realistic fashion (e.g., gracefully, and following physical laws such as gravity) has been an elusive goal for computer animators. The spacetime constraints paradigm has been shown to be a valuable approach to this problem, but it suffers from computational complexity growth as creatures and tasks approach those one would like to animate. The complexity is shown to be, in part, due to the choice of finite basis with which to represent the trajectories of the generalized degrees of freedom. This paper describes new features to the spacetime constraints paradigm to address this problem.The functions through time of the generalized degrees of freedom are reformulated in a hierarchical wavelet representation. This provides a means to automatically add detailed motion only where it is required, thus minimizing the number of discrete variables. In addition the wavelet basis is shown to lead to better conditioned systems of equations and thus faster convergence.
Published Version: http://dx.doi.org/10.1145/192161.192169
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:2641685
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