Algebraic decomposition of non-convex polyhedra
Herbert Edelsbrunner
Any arbitrary polyhedron P contained as a subset within Rd can be written as algebraic sum of simple terms, each an integer multiple of the intersection of d or fewer half-spaces defined by facets of P. P can be non-convex and can have holes of any kind. Among the consequences of this result are a short boolean formula for P, a fast parallel algorithm for point classification, and a new proof of the Gram-Sommerville angle relation.
IEEE
1995
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https://research-explorer.app.ist.ac.at/record/4034
Edelsbrunner H. Algebraic decomposition of non-convex polyhedra. In: IEEE; 1995:248-257.
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