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Expected 0(N) and 0(N4/3) Algorithms for Constructing Voronoi Diagrams in Two and Three Dimensions

Published

Author(s)

Javier Bernal

Abstract

Bentley, Weide and Yao have proposed an expected 0(N) cell technique for computing Voronoi diagrams in two dimensions that does not generalize readily to three. In this paper their work is further developed and generalized to produce expected 0(N ) and 0(N4/3) algorithms for constructing Voronoi diagrams in two and three dimensions, respectively. Computational experience is presented for the algorithm in two dimensions.
Citation
NIST Interagency/Internal Report (NISTIR) - 87-3679
Report Number
87-3679

Citation

Bernal, J. (1987), Expected 0(N) and 0(N4/3) Algorithms for Constructing Voronoi Diagrams in Two and Three Dimensions, NIST Interagency/Internal Report (NISTIR), National Institute of Standards and Technology, Gaithersburg, MD, [online], https://doi.org/10.6028/NBS.IR.87-3679 (Accessed June 14, 2024)

Issues

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Created November 1, 1987, Updated November 10, 2018