The function representation (or F-rep) defines a geometric object by a single real continuous function of several variables as
It combines many different models like
The main goal of this project is to develop a rich system of geometric operations and relations. Our approach is based on the R-functions - Ck continuous definitions of set-theoretic operations.
We apply the theoretic results in different areas:
The paper Function representation in geometric modeling: concepts, implementation and applications in The Visual Computer journal explains basic concepts, provides mathematical descriptions and gives a lot of examples.
Modeling shapes using real functions Open Systems, No.5 (19), 1996, pp.14-18 (in Russian).
This F-rep Home Page represents the results of joint work by an international group of researchers .
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