Approximating shapes with hierarchies and topologies
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 then application as shape approximations We provide an account of their properties with an emphasis on their application
hierarchies, shape algebras, shape decompositions shape grammars, topologies