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The Computer Journal 1985 28(1):73-77; doi:10.1093/comjnl/28.1.73
© 1985 by British Computer Society
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Some Elemental Operations on Linear Quadtrees for Geographic Information Systems

D. J. Abel *

Division of Computing Research, CSIRO, P.M.B., P.O. Aitkenvale, Australia

Quadtrees appear attractive as an alternative to fixed-cell-size representations for areal entities in geographic information systems. This paper considers some aspects of use of linear quadtrees in such applications. Compaction (reduction of a quadtree to its maximal leaves) is desirable to minimise space requirements and to simplify some basic operations. An algorithm for compaction as an adjunct to quadtree-generating processes is presented, with analysis showing it to be linear with the sizes of the input and compacted quadtrees. Some simple forms of set operations are also described.


* Division of Computing Research, CSIRO, P.M.B., P.O. Aitkenvale, Qld 4814, Australia


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