Title: Fast enumeration of point-hyperplane incidences

Peter Braß
Institut für Informatik
Freie Universität Berlin
Takustr. 9, D-14195 Berlin
email: brass@inf.fu-berlin.de

Christian Knauer
Institut für Informatik
Freie Universität Berlin
Takustr. 9, D-14195 Berlin
email: knauer@inf.fu-berlin.de

Report B 00-13
August 2000

This paper presents an algorithm that tests the congruence of two sets of n points in d-dimensional space in O(n lceil 1/3d rceil log n) time. This improves the previous best algorithm for dimensions d >= 6.

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