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A Note on the Optimal Labelling of Quadtree Nodes
Author(s) -
Andrew Hunter
Publication year - 1990
Publication title -
the computer journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.319
H-Index - 64
eISSN - 1460-2067
pISSN - 0010-4620
DOI - 10.1093/comjnl/33.5.398
Subject(s) - quadtree , extension (predicate logic) , computer science , node (physics) , labelling , algorithm , bit (key) , arithmetic , mathematics , computer network , programming language , physics , criminology , quantum mechanics , sociology
Methods of labelling quadtree nodes by extended quaternary numbers are discussed. It is shown that a fixed bit-length technique requires only 2n+1 bits to represent any node in a depth n quadtree. A technique using exactly that number of bits is described. A more useful extension, requiring 2n+2 bits, is compared with the best technique previously published, which typically requires 2n+4 bits

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