Constructive heterogeneous object modeling using signed approximate real distance functions

Pierre Alain Fayolle, Alexander Pasko, Benjamin Schmitt, Nikolay Mirenkov

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


We introduce a smooth approximation of the mini/max operations, called signed approximate real distance function (SARDF), for maintaining an approximate signed distance function in constructive shape modeling. We apply constructive distance-based shape modeling to design objects with heterogeneous material distribution in the constructive hypervolume model framework. The introduced distance approximation helps intuitively model material distributions parametrized by distances to so-called material features. The smoothness of the material functions, provided here by the smoothness of the defining function for the shape, helps to avoid undesirable singularities in the material distribution, like stress or concentrations. We illustrate application of the SARDF operations by two- and three-dimensional heterogeneous object modeling case studies.

Original languageEnglish
Pages (from-to)221-229
Number of pages9
JournalJournal of Computing and Information Science in Engineering
Issue number3
Publication statusPublished - Sep 2006
Externally publishedYes


  • Constructive heterogeneous object modeling
  • Distance function approximation
  • Function representation (FRep)
  • Set-theoretic operations

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