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1997•Unpublished venueOpen access

Clusters of stars

Ileana Streinu

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Abstract

We solve two open problems posed by Goodman and Pollack[GP84] about sets of signed circular permutations (clusters of stars) arising from generalized configurations of points: recognition and efficient reconstruction (drawing).As a biproduct we get an (7(n2 ) space data structure constructible in 0(n2 ) time, representing the order type of a (generalized) configuration of points and from which the orientation of each tride can be found in constant time.a moblem Dosed in '~HNJ.

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We solve two open problems posed by Goodman and Pollack[GP84] about sets of signed circular permutations (clusters of stars) arising from generalized configurations of points: recognition and efficient reconstruction (drawing).As a biproduct we get an (7(n2 ) space data structure constructible in 0(n2 ) time, representing the order type of a (generalized) configuration of points and from which the orientation of each tride can be found in constant time.a moblem Dosed in '~HNJ.

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Available abstract

We solve two open problems posed by Goodman and Pollack[GP84] about sets of signed circular permutations (clusters of stars) arising from generalized configurations of points: recognition and efficient reconstruction (drawing).As a biproduct we get an (7(n2 ) space data structure constructible in 0(n2 ) time, representing the order type of a (generalized) configuration of points and from which the orientation of each tride can be found in constant time.a moblem Dosed in '~HNJ.

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