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- W1981697099 abstract "if the convex hull of its deficiency CH(~,) -- ~, Js equal to CH(~,), and convergent otherwise It is desirable to be able to characterize the nonconvergence of a deficiency ~, directly, rather than invoke the comparison between CH(~-~,) and CH(.Q,)- ~, This pursuit is justified in two respects. First, four convex-hull operations and two set-d~fference operations must be performed to obtain the datum CH(~,), CH(~,) -- ~,, and CH(CH(~,)--.Q,) for the comparison. Setdifference operation on a polyhedron with m vertices is known to take at least O(m 2) time prior to the O(mlogm) result given in Part 1 of this paper 2. Second, even if the fast O(mlogm) difference operation ts involved, detecting the presence of a null set, as the result of the dtfference, can be numerically unstable A fast nonconvergence detectton algonthm for a" @default.
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- W1981697099 date "1991-07-01" @default.
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- W1981697099 title "Algorithmic aspects of alternating sum of volumes. Part 2: Nonconvergence and its remedy" @default.
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- W1981697099 doi "https://doi.org/10.1016/0010-4485(91)90011-k" @default.
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