Efficient generation of simple polygons for characterizing the shape of a set of points in the plane
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Duckham, Matt, Kulik, Lars, Worboys, Mike and Galton, Antony (2008) Efficient generation of simple polygons for characterizing the shape of a set of points in the plane. Pattern Recognition, 41 (10). pp. 3224-3236. ISSN 0031-3203 (doi:10.1016/j.patcog.2008.03.023)
Full text not available from this repository.Abstract
This paper presents a simple, flexible, and efficient algorithm for constructing a possibly non-convex, simple polygon that characterizes the shape of a set of input points in the plane, termed a characteristic shape. The algorithm is based on the Delaunay triangulation of the points. The shape produced by the algorithm is controlled by a single normalized parameter, which can be used to generate a finite, totally ordered family of related characteristic shapes, varying between the convex hull at one extreme and a uniquely defined shape with minimum area. An optimal O(n log n) algorithm for computing the shapes is presented. Characteristic shapes possess a number of desirable properties, and the paper includes an empirical investigation of the shapes produced by the algorithm. This investigation provides experimental evidence that with appropriate parameterization the algorithm is able to accurately characterize the shape of a wide range of different point distributions and densities. The experiments detail the effects of changing parameter values and provide an indication of some "good'' parameter values to use in certain circumstances. © 2008 Elsevier Ltd.
| Item Type: | Article |
|---|---|
| Additional Information: | [1] First published: October 2008. [2] Published as: Pattern Recognition, (2008), Vol. 41, (10), pp. 3224–3236. [3] Pattern Recognition is the journal of the Pattern Recognition Society. |
| Uncontrolled Keywords: | convex hull, alpha shape, shape analysis, cartography, GIS |
| Subjects: | Q Science > Q Science (General) |
| Pre-2014 Departments: | School of Computing & Mathematical Sciences |
| Related URLs: | |
| Last Modified: | 05 Nov 2019 12:15 |
| URI: | http://gala.gre.ac.uk/id/eprint/10091 |
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