Radial supershapes for solid modeling

Yohan D. Fougerolle, Andrei Gribok, Sebti Foufou, Frédéric Truchetet, Mongi A. Abidi

Research output: Contribution to journalArticlepeer-review


In the previous work, an efficient method has been proposed to represent solid objects as multiple combinations of globally deformed supershapes. In this paper, this framework is applied with a new supershape implicit function that is based on the notion of radial distance and results are presented on realistic models composed of hundreds of hierarchically globally deformed supershapes. An implicit equation with guaranteed differential properties is obtained by simple combinations of the primitives' implicit representations using R-function theory. The surface corresponding to the zero-set of the implicit equation is efficiently and directly polygonized using the primitives' parametric forms. Moreover, hierarchical global deformations are considered to increase the range of shapes that can be modeled. The potential of the approach is illustrated by representing complex models composed of several hundreds of primitives inspired from CAD models of mechanical parts.

Original languageEnglish (US)
Pages (from-to)238-243
Number of pages6
JournalJournal of Computer Science and Technology
Issue number2
StatePublished - Mar 2006


  • Implicit surface
  • Solid modeling
  • Superquadrics
  • Supershape

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Hardware and Architecture
  • Computer Science Applications
  • Computational Theory and Mathematics


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