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Computer Animation 2000 (CA'00)   p. 140
Space-Time and Higher Dimensional Modeling for Animation
Eric Fausett, University of Aizu
Alexander Pasko, University of Aizu
Valery Adzhiev, Moscow Engineering Physics Institute

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DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CA.2000.889070
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Abstract
There are limitations to the current BRep based “model then animate” paradigm when animating time-dependent (dynamic) objects. This paper describes an approach to modeling dynamic objects directly in space-time or even higher dimensional space. The use of the function representation (FRep) is proposed due to the ease with which it handles higher dimensions. After creating a multidimensional FRep object, it then needs to be mapped to “multimedia” space. In the case of animation, this means at least one geometric coordinate must be mapped to a dynamic coordinate (time). A case study is presented to explain the technique and demonstrate its use in the animated metamorphosis between several shapes of differing topology.
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Citation:  Eric Fausett, Alexander Pasko, Valery Adzhiev, "Space-Time and Higher Dimensional Modeling for Animation," ca, p. 140,  Computer Animation 2000 (CA'00),  2000