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A vector identity for the Dirichlet tessellation

Published online by Cambridge University Press:  24 October 2008

Robin Sibson
Robin Sibson
Affiliation:
University of Bath
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Summary

A vector identity associated with the Dirichlet tessellation is proved as a corollary of a more general result. The identity has applications in interpolation and smoothing problems in data analysis, and may be of interest in other areas.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 87 , Issue 1 , January 1980 , pp. 151 - 155
Copyright
Copyright © Cambridge Philosophical Society 1980

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References

REFERENCES

(1)Green, P. J. and Sibson, R.Computing Dirichlet tessellations in the plane. Comput. J. 21 (1978), 168–173.CrossRefGoogle Scholar
(2)Lawson, C. L. Software for C 1 surface interpolation. In Mathematical Software III, pp. 161–193. (Academic Press, New York, 1977.)CrossRefGoogle Scholar
(3)Miles, R. E.On the homogeneous planar Poisson point process. Math. Biosci. 6 (1970), 85–127.Google Scholar
(4)Miles, R. E.The random division of space. Suppl. Adv. Appl. Prob. (1972), 243–266.Google Scholar
(5)Rogers, C. A.Packing and Covering. Cambridge Mathematical Tract 54 (Cambridge University Press, 1964).Google Scholar
(6)Sibson, R.The Dirichlet tessellation as an aid in data analysis. Scand. J. Statist. (1979) (in the Press).Google Scholar