The function representation (or F-rep) defines a geometric object by a single real continuous function of point coordinates as
It combines many different models like
Main features of F-rep:
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 theoretic results in different areas:
A. Pasko and V. Adzhiev,
"Function-based shape modeling: mathematical framework and specialized language",
Automated Deduction in Geometry, Lecture Notes in Artificial Intelligence 2930, Ed. F. Winkler, Springer-Verlag, Berlin Heidelberg, 2004, pp. 132-160.
Electronic version: PDF (847K)
Modeling shapes using real functions Open Systems, No.5 (19), 1996, pp.14-18 (in Russian).
Pasko A., Adzhiev V., Sourin A., Savchenko V. "Function representation
in geometric modeling: concepts, implementation and applications",
The Visual Computer, vol.11, No.8, 1995, pp.429-446.
Electronic version: PDF (116K) (text only)
This F-rep Home Page represents the results of joint work by an international group of researchers (see the authors of publications).
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