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

Altenhofen, Christian ; Ewald, Tobias ; Stork, Andre ; Fellner, Dieter W. (2021)
Analyzing and Improving the Parametrization Quality of Catmull-Clark Solids for Isogeometric Analysis.
In: IEEE Computer Graphics and Applications, (Early Access)
doi: 10.1109/MCG.2021.3057905
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

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.

Typ des Eintrags: Artikel
Erschienen: 2021
Autor(en): Altenhofen, Christian ; Ewald, Tobias ; Stork, Andre ; Fellner, Dieter W.
Art des Eintrags: Bibliographie
Titel: Analyzing and Improving the Parametrization Quality of Catmull-Clark Solids for Isogeometric Analysis
Sprache: Englisch
Publikationsjahr: 2021
Verlag: IEEE
Titel der Zeitschrift, Zeitung oder Schriftenreihe: IEEE Computer Graphics and Applications
(Heft-)Nummer: Early Access
DOI: 10.1109/MCG.2021.3057905
Kurzbeschreibung (Abstract):

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.

Freie Schlagworte: Splines, Solid modeling, Distortion
Fachbereich(e)/-gebiet(e): 20 Fachbereich Informatik
20 Fachbereich Informatik > Graphisch-Interaktive Systeme
Hinterlegungsdatum: 22 Feb 2021 07:47
Letzte Änderung: 04 Feb 2022 12:38
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