Research Article
A kaleidoscope as a cyberworld and its animation: linear architecture and modeling based on an incrementally modular abstraction hierarchy
Article first published online: 14 JUN 2006
DOI: 10.1002/cav.118
Copyright © 2006 John Wiley & Sons, Ltd.
Issue
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Computer Animation and Virtual Worlds
Special Issue: CASA 2006
Volume 17, Issue 3-4, pages 145–153, July 2006
Additional Information
How to Cite
Kunii, T. L. and Ohmori, K. (2006), A kaleidoscope as a cyberworld and its animation: linear architecture and modeling based on an incrementally modular abstraction hierarchy. Comp. Anim. Virtual Worlds, 17: 145–153. doi: 10.1002/cav.118
Publication History
- Issue published online: 14 JUN 2006
- Article first published online: 14 JUN 2006
- Manuscript Accepted: 10 MAY 2006
- Manuscript Revised: 2 MAY 2006
- Manuscript Received: 10 APR 2006
- Abstract
- References
- Cited By
Keywords:
- homotopy lifting property;
- homotopy extension property;
- fiber bundle;
- adjunction space;
- cyberworld;
- kaleidoscope
Abstract
An incrementally modular abstraction hierarchy is known to effectively linearize cyberworlds and virtual worlds, which are combinatorially exploding and hardly managed. It climbs down from general level to specific model preserving the higher level modules as invariants. It not only prevents the combinatorial explosion but also benefits the reuse, development, testing and validation of cyberworld resources. By applying this incrementally modular abstraction hierarchy to a kaleidoscope animation, its architecture and modeling is also specified in this paper as a typical case of cyberworlds. In particular, a homotopy lifting property and a homotopy extension property, which satisfy a duality relation, are also described to show how a kaleidoscope world is systematically created top-down from the whole system and bottom-up from the components. Copyright © 2006 John Wiley & Sons, Ltd.

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