Abstract

Design solutions for a program library are presented for combinatorial data structures in computational geometry such as planar maps and polyhedral sur faces Design issues considered are genericity exibility time and space eciency and easeofuse We focus on topological aspects of polyhedral surfaces Edge based representations for polyhedrons are evaluated with respect to the design goals A design for polyhedral surfaces in a halfedge data structure is developed following the generic programming paradigm known from the Standard Template Library STL for C++. Connections are shown to planar maps and facebased structures managing holes in facets.

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