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Approximating shapes with hierarchies and topologies

Published online by Cambridge University Press:  02 September 2009

Djordje Krstic
Djordje Krstic
Affiliation:
Calabasas, California, USA
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Abstract

This is the second paper in the series on shape decompositions and their use as shape approximations. This time we investigate hierarchical and topological shape decompositions or hierarchies and topologies. We showed earlier that bounded decompositions behave the same way as shapes do. The same holds for hierarchies and topologies, which are special kinds of bounded decompositions. They are distinguished by their algebraic structures, which have many important properties to facilitate their application as shape approximations. We provide an account of their properties with an emphasis on their application.

Keywords

HierarchiesShape AlgebrasShape DecompositionsShape GrammarsTopologies

Information

Type
Regular Articles
Information
AI EDAM , Volume 24 , Issue 2: Creativity: Simulation, Stimulation, and Studies , May 2010 , pp. 259 - 276
Copyright
Copyright © Cambridge University Press 2010

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