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Logical functions of arbitrary vicinities of geometric objects

Gorelik A. G.

Machine Graphics and Vision

1999

Vol. 8, No. 3

285-294

For Constructive Solid Geometry (CSG) models of the complex geometric objects, the definition of the logical functions of arbitrary vicinities is proposed. These functions are equal to the initial functions in some vicinities from the viewpoint of membership tests. The new functions are much simpler than initial ones and allows to significantly accelerate basic membership tests on CSG models.