conference paper
Slimming down by adding; selecting heavily covered points
published
yes
Bernard
Chazelle
author
Herbert
Edelsbrunner
author 3FB178DA-F248-11E8-B48F-1D18A9856A870000-0002-9823-6833
Leonidas
Guibas
author
John
Hershberger
author
Raimund
Seidel
author
Micha
Sharir
author
SCG: Symposium on Computational Geometry
In this paper we derived combinatorial point selection results for geometric objects defined by pairs of points. In a nutshell, the results say that if many pairs of a set of n points in some fixed dimension each define a geometric object of some type, then there is a point covered by many of these objects. Based on such a result for three-dimensional spheres we show that the combinatorial size of the Delaunay triangulation of a point set in space can be reduced by adding new points. We believe that from a practical point of view this is the most important result of this paper.
ACM1990Berkley, CA, United States
eng
Proceedings of the 6th annual symposium on computational geometry
978-0-89791-362-110.1145/98524.98551
116 - 127
yes
Chazelle, Bernard, Herbert Edelsbrunner, Leonidas Guibas, John Hershberger, Raimund Seidel, and Micha Sharir. “Slimming down by Adding; Selecting Heavily Covered Points.” In <i>Proceedings of the 6th Annual Symposium on Computational Geometry</i>, 116–27. ACM, 1990. <a href="https://doi.org/10.1145/98524.98551">https://doi.org/10.1145/98524.98551</a>.
B. Chazelle, H. Edelsbrunner, L. Guibas, J. Hershberger, R. Seidel, M. Sharir, in:, Proceedings of the 6th Annual Symposium on Computational Geometry, ACM, 1990, pp. 116–127.
Chazelle, B., Edelsbrunner, H., Guibas, L., Hershberger, J., Seidel, R., & Sharir, M. (1990). Slimming down by adding; selecting heavily covered points. In <i>Proceedings of the 6th annual symposium on computational geometry</i> (pp. 116–127). Berkley, CA, United States: ACM. <a href="https://doi.org/10.1145/98524.98551">https://doi.org/10.1145/98524.98551</a>
B. Chazelle, H. Edelsbrunner, L. Guibas, J. Hershberger, R. Seidel, and M. Sharir, “Slimming down by adding; selecting heavily covered points,” in <i>Proceedings of the 6th annual symposium on computational geometry</i>, Berkley, CA, United States, 1990, pp. 116–127.
Chazelle B, Edelsbrunner H, Guibas L, Hershberger J, Seidel R, Sharir M. Slimming down by adding; selecting heavily covered points. In: <i>Proceedings of the 6th Annual Symposium on Computational Geometry</i>. ACM; 1990:116-127. doi:<a href="https://doi.org/10.1145/98524.98551">10.1145/98524.98551</a>
Chazelle, Bernard, et al. “Slimming down by Adding; Selecting Heavily Covered Points.” <i>Proceedings of the 6th Annual Symposium on Computational Geometry</i>, ACM, 1990, pp. 116–27, doi:<a href="https://doi.org/10.1145/98524.98551">10.1145/98524.98551</a>.
Chazelle B, Edelsbrunner H, Guibas L, Hershberger J, Seidel R, Sharir M. 1990. Slimming down by adding; selecting heavily covered points. Proceedings of the 6th annual symposium on computational geometry. SCG: Symposium on Computational Geometry, 116–127.
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