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

: Altenhofen, Christian; Ewald, Tobias; Stork, André; Fellner, Dieter W.


IEEE Computer Graphics and Applications 41 (2021), No.3, pp.34-47
ISSN: 0272-1716
ISSN: 1558-1756
European Commission EC
H2020; 825030; QU4LITY
Digital Reality in Zero Defect Manufacturing
Journal Article
Fraunhofer IGD ()
splines; Solid Modeling; distortion; Lead Topic: Digitized Work; Research Line: (Interactive) simulation (SIM); Research Line: Modeling (MOD); subdivision; physically based simulation

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 parametrization 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 parametrization 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 parametrization quality that positively affects the simulation results without additional computational costs for the solver.