Threshold dynamics for high order geometric motions (Q998750)
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scientific article; zbMATH DE number 5500357
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Threshold dynamics for high order geometric motions |
scientific article; zbMATH DE number 5500357 |
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Threshold dynamics for high order geometric motions (English)
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29 January 2009
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Summary: A class of algorithms for the high order geometric motion of planar curves is developed. The algorithms alternate two simple steps -- a convolution and a thresholding step -- to evolve planar curves according to combinations of Willmore flow, surface diffusion flow and curvature motion. A distinguishing feature of the methods is that they posses much better stability than typical explicit algorithms. Formal expansions and numerical examples are provided for a variety of high order flows to validate the methods and illustrate their behaviors.
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algorithms
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geometric motion
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planar curves
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Willmore flow
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surface diffusion flow
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curvature motion
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numerical examples
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