A concept for parametric surface fitting which avoids the parametrization problem

Helmut Pottmann, Stefan Leopoldseder*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

83 Scopus citations


An active contour model to surface approximation is presented. It adapts to the model shape to be approximated with help of local quadratic approximants of the squared distance function. The approach completely avoids the parametrization problem. The concept is open for inclusion of smoothing operators and shape constraints.

Original languageEnglish (US)
Pages (from-to)343-362
Number of pages20
JournalComputer Aided Geometric Design
Issue number6
StatePublished - Sep 2003
Externally publishedYes

Bibliographical note

Funding Information:
We would like to thank the referees for their valuable comments and suggestions to improve this paper. Furthermore, we thank Hongkai Zhao for his help in the implementation of his fast sweeping algorithm. This research has been carried out as part of the project P16002-N05 supported by the Austrian Science Fund (FWF). Additionally, this work was supported, in part, by the innovative project ‘3D technology’ of Vienna University of Technology.


  • Active contour
  • B-spline surface
  • Degree reduction
  • Offset surface approximation
  • Parametrization
  • Spline conversion
  • Surface approximation
  • Surface fitting

ASJC Scopus subject areas

  • Modeling and Simulation
  • Automotive Engineering
  • Aerospace Engineering
  • Computer Graphics and Computer-Aided Design


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