The Visual Computer

, Volume 20, Issue 6, pp 380–391

Combining CSG modeling with soft blending using Lipschitz-based implicit surfaces


    • University of Technology
  • Kees van Overveld
    • University of Technology
  • Rob Golsteijn
    • University of Technology
Special issue on implicit surfaces

DOI: 10.1007/s00371-002-0198-3

Cite this article as:
Dekkers, D., van Overveld, K. & Golsteijn, R. Vis Comput (2004) 20: 380. doi:10.1007/s00371-002-0198-3


In this paper a general method is given for combining CSG modeling with soft blending using implicit surfaces. A class of various blending functions sharing some desirable properties like differentiability and intuitive blend control are given. The functions defining the CSG objects satisfy the Lipschitz condition that gives the possibility of fast root finding but can also prove useful in the field of collision detection and adaptive triangulation.


Implicit surfaceSmooth blendingLipschitz condition

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© Springer-Verlag 2004