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The Computer Journal 1988 31(1):56-60; doi:10.1093/comjnl/31.1.56
© 1988 by British Computer Society
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Adaptive Grid for Polyhedral Visibility in Object Space: an Implementation

W. R. Franklin1 * and V. Akman2 § ¶

1 Electrical, Computer, and Systems Engineering Department, Rensselaer Polytechnic Institute, Troy, N.Y. 12180, USA, 2 Department of Computer Science, University of Utrecht, Budapestlaan 6, P.O. Box 80.012, 3508 TA Utrecht, The Netherlands

This paper presents an implementation of Franklin's object space hidden surface algorithm for polyhedral scenes.4 It is known that if the faces are independently and identically distributed this algorithm performs in time linear in the number of faces, and in particular is not affected by the depth complexity. The algorithm overlays a grid on the scene with fineness depending on the statistics of the edges and the faces. It then preprocesses the edges and the faces in a grid data structure so that distant edges and faces will not be compared.

The implementation of the algorithm on a Prime 750 using Ratfor shows that it is indeed very fast for random and structured scenes alike.

Received May 1986. revised October 1986.

* Electrical, Computer, and Systems Engineering Department, Rensselaer Polytechnic Institute, Troy, N.Y. 12180, USA

§ Department of Computer Science, University of Utrecht, Budapestlaan 6, P.O. Box 80.012, 3508 TA Utrecht, The Netherlands

To whom correspondence should be addressed at: Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB Amsterdam, The Netherlands.


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