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arXiv · 1204.0235

Packing ellipsoids with overlap

Caroline Uhler·Stephen J. Wright
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Abstract

The problem of packing ellipsoids of different sizes and shapes into an ellipsoidal container so as to minimize a measure of overlap between ellipsoids is considered. A bilevel optimization formulation is given, together with an algorithm for the general case and a simpler algorithm for the special case in which all ellipsoids are in fact spheres. Convergence results are proved and computational experience is described and illustrated. The motivating application - chromosome organization in the human cell nucleus - is discussed briefly, and some illustrative results are presented.

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Caroline Uhler, Stephen J. Wright. 2012-04-01. Packing ellipsoids with overlap. https://arxiv.org/abs/1204.0235

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