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• W2003048988 abstract "A new representation scheme for solid modelling of polyhedra is discussed, together with algorithms for union, intersection, difference and complementation. The set of models representable in our scheme, containing all the disconnected, nonconvex, unbounded and nonmanifold linear polyhedra, is a Boolean algebra. The range set of the representation scheme is the subset of regular closed 2-complexes, in the sense of algebraic topology. The associated data structure, called winged-triangle representation, uses space 4E, where E is the number of edges of the triangularized polyhedron boundary. It is space optimal for linearized representations of polyhedra with curved boundary. The algorithms for Boolean operations presented in the paper are very simple and without special cases. The presented approach, based on well-established methods of algebraic topology, can be easily extended to the treatment of objects of dimension higher than three." @default.
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• W2003048988 date "1989-10-01" @default.
• W2003048988 modified "2023-09-26" @default.
• W2003048988 title "Boolean algebra over linear polyhedra" @default.
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• W2003048988 doi "https://doi.org/10.1016/0010-4485(89)90055-9" @default.
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