Rounding, filleting and smoothing of implicit surfaces

Pierre Alain Fayolle, Oleg Fryazinov, Alexander Pasko

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We describe an approach for performing constant radius offsetting and the related operations of filleting, rounding and smoothing for implicit surfaces. The offsetting operation is used as the basic component for defining the remaining operations. These operations are important operations for any modelling system. While it is known how to perform these operations for parametric representation and polygon meshes, there is limited prior work for implicit surfaces and procedural volumetric objects. The proposed approach is based on repeatedly computing the distance to a given implicit surface and its offset surfaces. We illustrate the results obtained by this approach with several examples, including procedurally defined microstructures and CAD objects.

Original languageEnglish
Pages (from-to)399-408
Number of pages10
JournalComputer-Aided Design and Applications
Issue number3
Publication statusPublished - 4 May 2018
Externally publishedYes


  • Distance function
  • Function Representation
  • Implicit surfaces
  • Offsetting
  • Smoothing


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