This is the second paper in the series on shape decompositions and their use as shape approximations. This time we investigate topological shape decompositions or topologies. We showed earlier that bounded decompositions behave the same way as shapes do. The same holds for topologies, which are special kinds of bounded decompositions. They are distinguished by their algebraic structure, which has many important properties to facilitate their application as shape approximations. We provide an account of their properties with an emphasis on their application.
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Krstic, D. (2008). Approximating Shapes with Topologies. In: Gero, J.S., Goel, A.K. (eds) Design Computing and Cognition '08. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8728-8_5
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DOI: https://doi.org/10.1007/978-1-4020-8728-8_5
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