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Geometrical modeling of complex objects with V. L. Rvachev's functions

A problem of geometrical modeling of complex solids is the actual problem of modern applied math¬ematics, CAD and CAGD, computer graphics. A theory of R-functions allows to produce a sin¬gle real function for the functional representation of a complex object. R-function is a real function, which sign is completely defined by signs of it arguments (in general, some property of function is completely defined by same properties of arguments). The method of R-functions combines clearness of the CSG and the power of mathematical functions.