Approximation and exact algorithms for minimum-width annuli and shells

Pankaj K. Agarwal; Boris Aronov; Sariel Har-Peled; Micha Sharir

doi:10.1145/304893.304992

Approximation and exact algorithms for minimum-width annuli and shells

Pankaj K. Agarwal^*, Boris Aronov, Sariel Har-Peled, Micha Sharir

^*Corresponding author for this work

Duke University

Research output: Contribution to conference › Paper › peer-review

10 Scopus citations

Abstract

The approximation and the exact algorithms to compute the minimum-width shell or annulus are discussed. To measure the S or the roundness of a set of n points in R^d, the S can be approximated with a sphere (Γ) so that the maximum distance between a point of S and Γ is minimized. It was found that the problem of measuring the roundness of S is equivalent to computing a shell of the smallest width that contains S.

Original language	English
Pages	380-389
Number of pages	10
DOIs	https://doi.org/10.1145/304893.304992
State	Published - 1999
Externally published	Yes
Event	Proceedings of the 1999 15th Annual Symposium on Computational Geometry - Miami Beach, FL, USA Duration: 13 Jun 1999 → 16 Jun 1999

Conference

Conference	Proceedings of the 1999 15th Annual Symposium on Computational Geometry
City	Miami Beach, FL, USA
Period	13/06/99 → 16/06/99

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10.1145/304893.304992

Cite this

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abstract = "The approximation and the exact algorithms to compute the minimum-width shell or annulus are discussed. To measure the S or the roundness of a set of n points in Rd, the S can be approximated with a sphere (Γ) so that the maximum distance between a point of S and Γ is minimized. It was found that the problem of measuring the roundness of S is equivalent to computing a shell of the smallest width that contains S.",

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AU - Har-Peled, Sariel

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N2 - The approximation and the exact algorithms to compute the minimum-width shell or annulus are discussed. To measure the S or the roundness of a set of n points in Rd, the S can be approximated with a sphere (Γ) so that the maximum distance between a point of S and Γ is minimized. It was found that the problem of measuring the roundness of S is equivalent to computing a shell of the smallest width that contains S.

AB - The approximation and the exact algorithms to compute the minimum-width shell or annulus are discussed. To measure the S or the roundness of a set of n points in Rd, the S can be approximated with a sphere (Γ) so that the maximum distance between a point of S and Γ is minimized. It was found that the problem of measuring the roundness of S is equivalent to computing a shell of the smallest width that contains S.

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T2 - Proceedings of the 1999 15th Annual Symposium on Computational Geometry

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Approximation and exact algorithms for minimum-width annuli and shells

Abstract

Conference

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