A fast convex hull algorithm inspired by human visual perception

A fast convex hull algorithm inspired by human visual perception Multimed Tools Appl https://doi.org/10.1007/s11042-018-6185-0 A fast convex hull algorithm inspired by human visual perception 1 2 3 Runzong Liu · Yuan Yan Tang · PatrickP.K.Chan Received: 13 December 2017 / Revised: 17 May 2018 / Accepted: 22 May 2018 © Springer Science+Business Media, LLC, part of Springer Nature 2018 Abstract This paper proposes a convex hull algorithm for high dimensional point set, which is faster than the well-known Quickhull algorithm in many cases. The main idea of the proposed algorithm is to exclude inner points by early detection of global topological properties. The algorithm firstly computes an initial convex hull of 2∗d +2 extreme points. Then, it discards all the inner points which are inside the inscribed ball of the initial convex hull. The other inner points are processed recursively according to the relationships of points and facets. Maximum inscribed circle affine transformations are also designed to accelerate the computation of the convex hull. Experimental results show that the proposed algorithm achieves a significant saving of computation time in comparison with the Quickhull algo- rithm in 3, 4 and 5 dimensional space. The space efficiency of the proposed algorithm is also demonstrated by experimental results. Keywords Convex hull · http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Multimedia Tools and Applications Springer Journals

A fast convex hull algorithm inspired by human visual perception

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Publisher
Springer US
Copyright
Copyright © 2018 by Springer Science+Business Media, LLC, part of Springer Nature
Subject
Computer Science; Multimedia Information Systems; Computer Communication Networks; Data Structures, Cryptology and Information Theory; Special Purpose and Application-Based Systems
ISSN
1380-7501
eISSN
1573-7721
D.O.I.
10.1007/s11042-018-6185-0
Publisher site
See Article on Publisher Site

Abstract

Multimed Tools Appl https://doi.org/10.1007/s11042-018-6185-0 A fast convex hull algorithm inspired by human visual perception 1 2 3 Runzong Liu · Yuan Yan Tang · PatrickP.K.Chan Received: 13 December 2017 / Revised: 17 May 2018 / Accepted: 22 May 2018 © Springer Science+Business Media, LLC, part of Springer Nature 2018 Abstract This paper proposes a convex hull algorithm for high dimensional point set, which is faster than the well-known Quickhull algorithm in many cases. The main idea of the proposed algorithm is to exclude inner points by early detection of global topological properties. The algorithm firstly computes an initial convex hull of 2∗d +2 extreme points. Then, it discards all the inner points which are inside the inscribed ball of the initial convex hull. The other inner points are processed recursively according to the relationships of points and facets. Maximum inscribed circle affine transformations are also designed to accelerate the computation of the convex hull. Experimental results show that the proposed algorithm achieves a significant saving of computation time in comparison with the Quickhull algo- rithm in 3, 4 and 5 dimensional space. The space efficiency of the proposed algorithm is also demonstrated by experimental results. Keywords Convex hull ·

Journal

Multimedia Tools and ApplicationsSpringer Journals

Published: Jun 5, 2018

References

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