Area set operation apparatus

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364521, 340747, 340729, G06F 1562

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active

049929623

ABSTRACT:
An area set operation apparatus effecting a set operation of a plurality of n-dimensional areas positioned in a n-dimensional finite space, wherein n (n.gtoreq.2) is a natural number, includes functions of inputting a plurality of data defining a n-dimensional area positioned in a n-dimensional finite space; repeatedly processing sequential order division of the n-dimensional space to generate a plurality of divided spaces, division of the area to generate a plurality of divided areas corresponding to the divided spaces, and generation of data defining each divided area in each divided space from the data defining the area, until the data defining the area satisfy conditions of data determining areas each including an empty part as represented and a full part by a plurality of inequality expressions, wherein the expressions are related to each other, conditions of data representing empty areas and conditions of data representing full areas, and effecting a set operation of the plurality of divided areas by executing a set operation of the data defining the divided areas corresponding to the divided spaces.

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Kunii et al., "A Functional Model for Constructive Solid Geometry", The Visual Computer, (1985), pp. 3-14.
Wyvill et al., "Space Division for Ray Tracing in CSG", IEEE, CG & A, 4/86, pp. 28-34.
Carlbom, I., "An Algorithm for Geometric Set Techniques", IEEE, CG & A, 5/87, pp. 44-55.

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