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COMGEO
2004
ACM

Minimal enclosing parallelepiped in 3D

13 years 11 months ago
Minimal enclosing parallelepiped in 3D
We investigate the problem of finding a minimal volume parallelepiped enclosing a given set of n threedimensional points. We give two mathematical properties of these parallelepipeds, from which we derive two algorithms of theoretical complexity O(n6). Experiments show that in practice our quickest algorithm runs in O(n2) (at least for n 105). We also present our application in structural biology. 2004 Elsevier B.V. All rights reserved.
Frédéric Vivien, Nicolas Wicker
Added 17 Dec 2010
Updated 17 Dec 2010
Type Journal
Year 2004
Where COMGEO
Authors Frédéric Vivien, Nicolas Wicker
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