Title :
An algorithm for finding convex hulls of planar point sets
Author :
Gang Mei ; Tipper, John C. ; Nengxiong Xu
Author_Institution :
Inst. fur Geowissenschaften, Geol. Albert-Ludwigs-Univ. Freiburg, Freiburg im Breisgau, Germany
Abstract :
This paper presents an alternate choice of computing the convex hulls (CHs) for planar point sets. We firstly discard the interior points and then sort the remaining vertices by x-/y- coordinates separately, and later create a group of quadrilaterals (e-Quads) recursively according to the sequences of the sorted lists of points. Finally, the desired CH is built based on a simple polygon derived from all e-Quads. Besides the preprocessing for original planar point sets, this algorithm has another mechanism of discarding interior point when form e-Quads and assemble the simple polygon. Compared with three popular CH algorithms, the proposed algorithm can generate CHs faster than the three but has a penalty in space cost.
Keywords :
computational geometry; set theory; computational geometry; convex hulls; e-Quads; planar point sets; quadrilaterals; simple polygon; Convex hull; extreme points; point set;
Conference_Titel :
Computer Science and Network Technology (ICCSNT), 2012 2nd International Conference on
Conference_Location :
Changchun
Print_ISBN :
978-1-4673-2963-7
DOI :
10.1109/ICCSNT.2012.6526070