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A vector identity for the Dirichlet tessellation

  • Robin Sibson (a1)
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.

Copyright
COPYRIGHT: © Cambridge Philosophical Society 1980
References
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(1)Green, P. J. and Sibson, R.Computing Dirichlet tessellations in the plane. Comput. J. 21 (1978), 168–173.
(2)Lawson, C. L. Software for C 1 surface interpolation. In Mathematical Software III, pp. 161–193. (Academic Press, New York, 1977.)
(3)Miles, R. E.On the homogeneous planar Poisson point process. Math. Biosci. 6 (1970), 85–127.
(4)Miles, R. E.The random division of space. Suppl. Adv. Appl. Prob. (1972), 243–266.
(5)Rogers, C. A.Packing and Covering. Cambridge Mathematical Tract 54 (Cambridge University Press, 1964).
(6)Sibson, R.The Dirichlet tessellation as an aid in data analysis. Scand. J. Statist. (1979) (in the Press).
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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