Journal
COMPUTER AIDED GEOMETRIC DESIGN
Volume 25, Issue 9, Pages 756-762Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cagd.2008.07.007
Keywords
Minimal ellipsoid; Lowner ellipsoid; Quermass integral; Mean cross section measure; Surface area; Arc-length
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We prove uniqueness of the minimal enclosing ellipsoid with respect to strictly eigenvalue convex size functions. Special examples include the classic case of minimal volume ellipsoids (Lowner ellipsoids), minimal surface area ellipsoids or, more generally, ellipsoids that are minimal with respect to quermass integrals. (C) 2008 Elsevier B.V. All rights reserved.
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