Curvature integrability of subdivision surfaces (Q5934306)
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scientific article; zbMATH DE number 1606619
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Curvature integrability of subdivision surfaces |
scientific article; zbMATH DE number 1606619 |
Statements
Curvature integrability of subdivision surfaces (English)
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19 June 2001
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The authors examine the smoothness properties of the principal curvatures of subdivision surfaces near irregular points. As a result it is shown that the Loop and Catmull-Clark schemes have square integrable principal curvatures enabling their use as shape functions in finite element treatments of the thin shell equations.
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subdivision surfaces
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smoothness
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irregular points
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integrable principal curvatures
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thin shell equations
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shape functions
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finite element
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