The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Centroidal Voronoi Tessellations: Applications and Algorithms
Abstract
A centroidal Voronoi tessellation is a Voronoi tessellation whose generating points are the centroids (centers of mass) of the corresponding Voronoi regions. We give some applications of such tessellations to problems in image compression, quadrature, finite difference methods, distribution of resources, cellular biology, statistics, and the territorial behavior of animals. We discuss methodsfor computing these tessellations, provide some analyses concerning both the tessellations and the methods for their determination, and, finally, present the results of some numerical experiments.
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Citations
Cites
An Algorithm for Vector Quantizer Design
Linde, Y., Buzo, A., & Gray, R. (1980) · IEEE Transactions on Communications · doi:10.1109/tcom.1980.1094577 · Cited by 7,201
Huber, P. J. (1985) · The Annals of Statistics · doi:10.1214/aos/1176349519 · Cited by 1,277
Cited by
An efficient k-means clustering algorithm: analysis and implementation
Kanungo, T., Mount, D. M., Netanyahu, N. S., Piatko, C. D., Silverman, R., & Wu, A. Y. (2002) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2002.1017616 · Cited by 5,660
Emsellem, E., Cappellari, M., Peletier, R. F., McDermid, R. M., Bacon, R., Bureau, M., Copin, Y., Davies, R. L., Krajnović, D., Kuntschner, H., et al. (2004) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2004.07948.x · Cited by 474
A local search approximation algorithm for k-means clustering
Kanungo, T., Mount, D. M., Netanyahu, N. S., Piatko, C. D., Silverman, R., & Wu, A. Y. (2002) · Proceedings of the eighteenth annual symposium on Computational geometry · doi:10.1145/513400.513402 · Cited by 474
Yondo, R., Andrés, E., & Valero, E. (2018) · Progress in Aerospace Sciences · doi:10.1016/j.paerosci.2017.11.003 · Cited by 311
Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations
Du, Q., Emelianenko, M., & Ju, L. (2006) · SIAM Journal on Numerical Analysis · doi:10.1137/040617364 · Cited by 305
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Metadata
- Authors
- Du, Q., Faber, V., & Gunzburger, M.
- Venue
- SIAM Review
- Published
- 1999-01
- Volume
- 41
- Issue
- 4
- Pages
- 637-676
- ISSN
- 0036-1445 (ISSN-L)
- 1095-7200
- OpenAlex
- W2051752778
- Cited by
- 2,244
- References
- 2
- FWCI
- 14.00
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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