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Linear data structures for two types of range search

Published: 01 August 1986 Publication History

Abstract

We present two algorithms for pictures of polyhedral scenes. These algorithms have been conjectured (and used for some time), but only now been verified. The combinatorial algorithm, proposed by Sugihara, uses counts on the incidence structure to characterize pictures which are generically the projection of sharp polyhedral scenes of planes and points. The geometric algorithm, described by Clerk Maxwell and rediscovered in the last decade, uses a reciprocal diagram in the plane to characterize pictures of strict oriented polyhedra in space.

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  • (1986)Fractional cascading: II. ApplicationsAlgorithmica10.1007/BF018404411:1-4(163-191)Online publication date: Nov-1986

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                                cover image ACM Conferences
                                SCG '86: Proceedings of the second annual symposium on Computational geometry
                                August 1986
                                322 pages
                                ISBN:0897911946
                                DOI:10.1145/10515
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                                Published: 01 August 1986

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                                • (1986)Fractional cascading: II. ApplicationsAlgorithmica10.1007/BF018404411:1-4(163-191)Online publication date: Nov-1986

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