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An External Memory Algorithm for the Minimum Enclosing Ball Problem

Authors:

Linus Källberg, Evan Shellshear , Thomas Larsson

Research group:

Ubiquitous Computing

Publication Type:

Conference/Workshop Paper

Venue:

Proceedings of the 11th Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2016) - Volume 1: GRAPP

Publisher:

SCITEPRESS

Abstract

In this article we present an external memory algorithm for computing the exact minimum enclosing ball of a massive set of points in any dimension. We test the performance of the algorithm on real-life three-dimensional data sets and demonstrate for the first time the practical efficiency of exact out-of-core algorithms. By use of simple heuristics, we achieve near-optimal I/O in all our test cases.

Bibtex

@inproceedings{Kallberg4306,
author = {Linus K{\"a}llberg and Evan Shellshear and Thomas Larsson},
title = {An External Memory Algorithm for the Minimum Enclosing Ball Problem},
isbn = {978-989-758-175-5},
pages = {81--88},
month = {February},
year = {2016},
booktitle = {Proceedings of the 11th Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2016) - Volume 1: GRAPP},
publisher = {SCITEPRESS},
url = {http://www.es.mdu.se/publications/4306-}
}