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• W2007931364 abstract "This paper is concerned with the problem of partitioning a three-dimensional polytope into a small number of elementary convex parts. The need for such decompositions arises in tool design, computer-aided manufacturing, finite-element methods, and robotics. Our main result is an algorithm for decomposing a polytope with n vertices and r reflex edges into Ο(n+r2) tetrahedra. This bound is asymptotically tight in the worst case. The algorithm is simple and practical. Its running time is Ο(nr + r2 log r)." @default.
• W2007931364 created "2016-06-24" @default.
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• W2007931364 date "1989-01-01" @default.
• W2007931364 modified "2023-09-27" @default.
• W2007931364 title "Triangulating a non-convex polytype" @default.
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• W2007931364 doi "https://doi.org/10.1145/73833.73876" @default.
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