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The Computer Journal 1984 27(4):375-376; doi:10.1093/comjnl/27.4.375
© 1984 by British Computer Society
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Short Notes

Consistency in Point-in-Polygon Tests

F. W. Burton1 * §, V. J. Kollias2 and J. G. Kollias3 *

1 School of Computing Studies, University of East Anglia, Norwich, UK, 2 Athens Faculty of Agriculture, Laboratory of Soils and Agricultural Chemistry, Iera Odos, Votanicos, Athens, Greece, 3 Department of Computer Sciences, National Technical University of Athens, 9, Heroon Polytechnion Avenue, Zografou, Athens, Greece.

In many applications it is necessary to be able to determine if a point is contained in a polygon. If co-ordinate values are approximate, we may be happy to have borderline cases dealt with in an arbitrary manner. However, if two regions have a common border section, decisions should be consistent. A simple algorithm for determining containment consistently is given.


Received April 1983.

* Part of this work was done while visiting Michigan Technological University.

§ Present address: Department of Electrical Engineering and Computer Science, Box 104, University of Colorado at Denver, 1100 Fourteenth Street, Denver, Colorado 80202, USA.

School of Computing Studies, University of East Anglia, Norwich NR4 7TJ England

{ddagger} Athens Faculty of Agriculture, Laboratory of Soils and Agricultural Chemistry, Iera Odos, Votanicos, Athens, Greece

++ Department of Computer Sciences, National Technical University of Athens, 9, Heroon Polytechnion Avenue, Zografou, Athens (621), Greece


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