Space subdivision to speed-up convex hull construction in E3. (January 2016)

• Record Type: Journal Article
• Authors: Skala, Vaclav; Majdisova, Zuzana; Smolik, Michal
• Is Part Of: Advances in engineering software. Volume 91(2016)
• Page Start: 12
• Page End: 22
• Publication Date: 2016-01
• Subjects: Convex hull -- Space subdivision -- Points reduction -- Points distribution -- Approximated angle -- Initial convex polyhedron; Computer-aided engineering -- Periodicals; Engineering -- Computer programs -- Periodicals; Engineering -- Software -- Periodicals; Periodicals; 620.0028553
• DOI: 10.1016/j.advengsoft.2015.09.002
• Languages: English
• ISSNs: 0965-9978

Abstract

Highlights: Algorithm for computing the convex hull of a set of points in E 3 we are proposed. The algorithm is based on spherical space subdivision. The algorithm eliminates as many input points as possible before the convex hull calculation. Experimental results show that the proposed algorithm achieves a better time complexity in comparison with other algorithms in E 3 . Abstract: Convex hulls are fundamental geometric tools used in a number of algorithms. This paper presents a fast, simple to implement and robust Smart Convex Hull (S-CH) algorithm for computing the convex hull of a set of points in E 3 . This algorithm is based on "spherical" space subdivision. The main idea of the S-CH algorithm is to eliminate as many input points as possible before the convex hull construction. The experimental results show that only a very small number of points are used for the final convex hull calculation. Experiments made also proved that the proposed S-CH algorithm achieves a better time complexity in comparison with other algorithms in E 3 .