Testing the congruence of d-dimensional point sets

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 99-18
November 1999

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

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