Title
An algorithm for finding convex hulls of planar point sets
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.
Year
DOI
Venue
2012
10.1109/ICCSNT.2012.6526070
Computer Science and Network Technology
Keywords
Field
DocType
e-quads,extreme points,computational geometry,set theory,planar point sets,point set,convex hulls,simple polygon,convex hull,quadrilaterals
Combinatorics,Convex geometry,Convex combination,Convex hull,Algorithm,Krein–Milman theorem,Convex set,Regular polygon,Simple polygon,Interior point method,Mathematics
Journal
Volume
ISSN
ISBN
abs/1212.6043
2012 2nd International Conference on , vol., no., pp.888,891, 29-31 Dec. 2012
978-1-4673-2963-7
Citations 
PageRank 
References 
0
0.34
10
Authors
3
Name
Order
Citations
PageRank
Gang Mei1236.98
John C. Tipper263.90
Nengxiong Xu3226.00