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The Computer Journal 1996 39(6):541-546; doi:10.1093/comjnl/39.6.541
© 1996 by British Computer Society
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Red-Blue Intersection Reporting for Objects of Non-Constant Size

P. Bozanis1 *, N. Kitsios *, C. Makris * and A. Tsakalidis *

1 Department of Computer Engineering and Informatics, University of Patras, 26500 Patras, Greece, 2 Computer Technology Institute Institute, P.O. Box 1122, 26110 Patras, Greece

Let Q1 be a set of ‘red’ geometric objects and Q2 a set of ‘blue’ ones. The objects in Q1 and Q2 are of arbitrarily large description size but each one is the union of simpler constant size components. We consider the problem of reporting all intersections between objects of Q1 and objects of Q2 in a time that depends on the size of the output. This is equivalent to painting the constant size objects in Q1 and Q2 and reporting colour intersections between Q1 and Q2. We present a technique that yields simple output-sensitive algorithms for many kinds of geometric objects. We also show that, using the same technique, it is possible to report all intersecting pairs in a set of objects in an output-sensitive manner.


Received May 26, 1995. revised July 26, 1996.

* Department of Computer Engineering and Informatics, University of Patras, 26500 Patras, Greece

§ Computer Technology Institute, P.O. Box 1122, 26110 Patras, Greece

Email: bozanis{at}ceid.upatras.gr


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