Analyzing and Improving the Parameterization Quality of Catmull-Clark Solids for Isogeometric Analysis

Christian Altenhofen, Tobias Ewald, Andre Stork, Dieter W. Fellner

Research output: Contribution to journalArticlepeer-review


In the field of physically based simulation, high quality of the simulation model is crucial for the correctness of the simulation results and the performance of the simulation algorithm. When working with spline or subdivision models in the context of isogeometric analysis, the quality of the parameterization has to be considered in addition to the geometric quality of the control mesh. Following Cohen et al.'s concept of model quality in addition to mesh quality, we present a parameterization quality metric tailored for Catmull-Clark (CC) solids. It measures the quality of the limit volume based on a quality measure for conformal mappings, revealing local distortions and singularities. We present topological operations that resolve these singularities by splitting certain types of boundary cells that typically occur in interactively designed CC-solid models. The improved models provide higher parameterization quality that positively affects the simulation results without additional computational costs for the solver.

Original languageEnglish
Article number9351639
Pages (from-to)34-47
Number of pages14
JournalIEEE Computer Graphics and Applications
Issue number3
Publication statusPublished - 1 May 2021
Externally publishedYes


  • Computational modeling
  • Distortion
  • Distortion measurement
  • Isogeometric Analysis
  • Jacobian matrices
  • Mesh Quality
  • Parametrization Quality
  • Solid modeling
  • Solids
  • Splines (mathematics)
  • Subdivision Solids

ASJC Scopus subject areas

  • Software
  • Computer Graphics and Computer-Aided Design

Fields of Expertise

  • Information, Communication & Computing

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