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Oct-trees and their use in representing three-dimensional objects

by: Chris L Jackins, Steven L Tanimoto
Computer Graphics and Image Processing, Vol. 14, No. 3. (November 1980), pp. 249-270.


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Many of the programming techniques used in solving two-dimensional problems can be extended to three dimensions. Here oct-trees are developed as a three-dimensional analog of quad-trees. Oct-trees can be used in geometric modeling and space planning. A fast algorithm is given for 90° rotation of oct-tree representations of objects. A space-efficient algorithm is given for translation in space. A PASCAL program for experimenting with oct-trees is described.


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