Set-theoretic operations with R-functions

= & &

We use R-functions to represent a CSG object by a single real function. Well-known min/max functions are only C0 continuous. This can cause unpredictable results in further operations on the object. Other R-functions can provide C1 and even Ck continuity of the resulting function. It helped to formulate analytical descriptions for such operations as blending, offsetting, sweeping and others.

Click to get a more large image of a CSG chair

Details on set-theoretic and many other operations with R-functions can be found in the paper:

Pasko A.A., Adzhiev V.D., Sourin A.I., Savchenko V.V. “Function representation in geometric modeling: concepts, implementation and applications”, The Visual Computer, vol.11, No.8, 1995, pp.429-446.
Electronic version: PostScript (467K) and PostScript + gzip (112K)

frep/csg.txt · Last modified: 2008/03/09 15:39 by oleg
Copyright (c) 1996-2018 by the contributing authors. This material may not be published, modified or otherwise redistributed in whole or part without prior approval.
If you have questions and comments about particular research topics, contact the respective authors directly.
Project hosted by the Digital Materialization Group
HyperFun CGPL Creative Commons License Valid CSS