The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
New applications of random sampling in computational geometry
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Citations
Cites
The Art of Computer Programming
Knuth, D. E. (1968) · Cited by 16,000
Computational Geometry--An Introduction.
Atallah, M. J., Preparata, F. P., & Shamos, M. I. (1986) · Mathematics of Computation · doi:10.2307/2008200 · Cited by 4,238
The Art of Computer Programming: Volume 3: Sorting and Searching
Knuth, D. E. (1973) · Cited by 3,955
Preparata, F. P., & Shamos, M. I. (1985) · Springer eBooks · doi:10.1007/978-1-4612-1098-6 · Cited by 3,655
On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
Vapnik, V. N., & Chervonenkis, A. Y. (2015) · Measures of Complexity · doi:10.1007/978-3-319-21852-6_3 · Cited by 3,105
On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
Vapnik, V. N., & Chervonenkis, A. Y. (1971) · Theory of Probability & Its Applications · doi:10.1137/1116025 · Cited by 2,448
Algorithms in Combinatorial Geometry.
Goodman, J. E., & Edelsbrunner, H. (1989) · The American Mathematical Monthly · doi:10.2307/2325168 · Cited by 1,788
On the shape of a set of points in the plane
Edelsbrunner, H., Kirkpatrick, D., & Seidel, R. (1983) · IEEE Transactions on Information Theory · doi:10.1109/tit.1983.1056714 · Cited by 1,634
Primitives for the manipulation of general subdivisions and the computation of Voronoi
Guibas, L., & Stolfi, J. (1985) · ACM Transactions on Graphics · doi:10.1145/282918.282923 · Cited by 1,260
The Art of Computer Programming, Vol. 2
Knuth, D. E. (1981) · Medical Entomology and Zoology · Cited by 886
ɛ-nets and simplex range queries
Haussler, D., & Welzl, E. (1987) · Discrete & Computational Geometry · doi:10.1007/bf02187876 · Cited by 723
Convex hulls of finite sets of points in two and three dimensions
Preparata, F. P., & Hong, S. J. (1977) · Communications of the ACM · doi:10.1145/359423.359430 · Cited by 710
Linear Programming in Linear Time When the Dimension Is Fixed
Megiddo, N. (1984) · Journal of the ACM · doi:10.1145/2422.322418 · Cited by 669
Probabilistic Methods in Combinatorics
Spencer, J. (1995) · Birkhäuser Basel eBooks · doi:10.1007/978-3-0348-9078-6_132 · Cited by 588
Voronoi diagrams and arrangements
Edelsbrunner, H., & Seidel, R. (1986) · Discrete & Computational Geometry · doi:10.1007/bf02187681 · Cited by 343
On k-Nearest Neighbor Voronoi Diagrams in the Plane
Lee, D.-T. (1982) · IEEE Transactions on Computers · doi:10.1109/tc.1982.1676031 · Cited by 331
Finding the intersection of two convex polyhedra
Muller, D. E., & Preparata, F. P. (1978) · Theoretical Computer Science · doi:10.1016/0304-3975(78)90051-8 · Cited by 291
Voronoi diagrams from convex hulls
Brown, K. Q. (1979) · Information Processing Letters · doi:10.1016/0020-0190(79)90074-7 · Cited by 289
Multidimensional Searching Problems
Dobkin, D., & Lipton, R. J. (1976) · SIAM Journal on Computing · doi:10.1137/0205015 · Cited by 248
Constructing higher-dimensional convex hulls at logarithmic cost per face
Seidel, R. (1986) · Proceedings of the eighteenth annual ACM symposium on Theory of computing - STOC '86 · doi:10.1145/12130.12172 · Cited by 159
Classifying learnable geometric concepts with the Vapnik-Chervonenkis dimension
Blumer, A., Ehrenfeucht, A., Haussler, D., & Warmuth, M. (1986) · Proceedings of the eighteenth annual ACM symposium on Theory of computing - STOC '86 · doi:10.1145/12130.12158 · Cited by 159
A general approach to d-dimensional geometric queries
Yao, A. C.-C., & Yao, F. F. (1985) · doi:10.1145/22145.22163 · Cited by 144
Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms
Edelsbrunner, H., & Mücke, E. P. (1988) · Annual Symposium on Computational Geometry (SoCG) · doi:10.1145/73393.73406 · Cited by 119
Partition trees for triangle counting and other range searching problems
Welzl, E. (1988) · Annual Symposium on Computational Geometry (SoCG) · doi:10.1145/73393.73397 · Cited by 102
A convex hull algorithm optimal for point sets in even dimensions
Seidel, R. (2010) · cIRcle (University of British Columbia) · doi:10.14288/1.0051821 · Cited by 84
A geometric consistency theorem for a symbolic perturbation scheme
Yap, C. K. (1988) · Annual Symposium on Computational Geometry (SoCG) · doi:10.1145/73393.73407 · Cited by 54
Cited by
(1993) · doi:10.5555/313559.313789 · Cited by 998
Metadata
- Authors
- Clarkson, K. L.
- Venue
- Discrete & Computational Geometry
- Published
- 1987-06
- Volume
- 2
- Issue
- 2
- Pages
- 195-222
- ISSN
- 0179-5376 (ISSN-L)
- 1432-0444
- OpenAlex
- W2067631433
- Cited by
- 317
- References
- 26
- FWCI
- 19.92
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.