Covering an ellipsoid with equal balls |
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| Authors: | Ilya Dumer |
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| Affiliation: | College of Engineering, University of California, Riverside, CA 92521, USA |
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| Abstract: | The thinnest coverings of ellipsoids are studied in the Euclidean spaces of an arbitrary dimension n. Given any ellipsoid, our goal is to find the minimum number of unit balls needed to cover this ellipsoid. A tight asymptotic bound on the logarithm of this number is obtained. |
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| Keywords: | Ellipsoid Euclidean space Spherical covering Unit ball |
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