Altenhofen, Christian ; Ewald, Tobias ; Stork, Andre ; Fellner, Dieter W. (2021)
Analyzing and Improving the Parameterization Quality of Catmull–Clark Solids for Isogeometric Analysis.
In: IEEE Computer Graphics and Applications, 41 (3)
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 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.
| 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 Parameterization Quality of Catmull–Clark Solids for Isogeometric Analysis |
| Sprache: | Englisch |
| Publikationsjahr: | 9 Februar 2021 |
| Verlag: | IEEE |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | IEEE Computer Graphics and Applications |
| Jahrgang/Volume einer Zeitschrift: | 41 |
| (Heft-)Nummer: | 3 |
| 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 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. |
| Freie Schlagworte: | Splines, Solid modeling, Distortion, Subdivision, Physically based simulation |
| Fachbereich(e)/-gebiet(e): | 20 Fachbereich Informatik 20 Fachbereich Informatik > Graphisch-Interaktive Systeme |
| Hinterlegungsdatum: | 15 Jun 2021 05:58 |
| Letzte Änderung: | 04 Feb 2022 12:38 |
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