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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao zbMATH Openarrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article
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SIAM Journal on Scientific and Statistical Computing
Article . 1980 . Peer-reviewed
Data sources: Crossref
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Minimum Covering Ellipses

Minimum covering ellipses
Authors: Silverman, B. W.; Titterington, D. M.;

Minimum Covering Ellipses

Abstract

With the aid of a duality relation originally obtained in the theory of statistical experimental design, an exact terminating algorithm is developed for finding the ellipse of smallest area covering a given plane point set. Some applications and related problems are discussed. Empirical timings show the algorithm to be highly efficient, particularly for large sets of points.

Keywords

Optimal statistical designs, convex hulls, Computing methodologies and applications, computational geometry, Packing and covering in \(n\) dimensions (aspects of discrete geometry), optimal design, Computer aspects of numerical algorithms

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
51
Top 10%
Top 1%
Average
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