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An efficient algorithm for obtaining the volume of a special kind of pyramid and application to convex polyhedra


Author: Ted Speevak
Journal: Math. Comp. 46 (1986), 531-536
MSC: Primary 52A25; Secondary 52-04
DOI: https://doi.org/10.1090/S0025-5718-1986-0829623-3
MathSciNet review: 829623
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Abstract: An efficient method is given for obtaining the volume of a pyramid of species $ n - 2$ whose base is a convex polygon. The pyramid is "transformed" into a simplex whose volume is computed directly. A refinement is provided to the Cohen-Hickey method for determining volumes of convex polyhedra.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1986-0829623-3
Keywords: Pyramid of species $ n - 2$, simplex, convex polyhedra, volume
Article copyright: © Copyright 1986 American Mathematical Society