Multiscale data sampling and function extension (Q1762316)
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scientific article; zbMATH DE number 6110198
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiscale data sampling and function extension |
scientific article; zbMATH DE number 6110198 |
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Multiscale data sampling and function extension (English)
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23 November 2012
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The authors introduce a multiscale scheme for sampling scattered data which overcomes some limitations of the Nyström interpolation method. The multiscale extension uses coarse-to-fine hierarchy of the multiscale decomposition of a Gaussian kernel. It is proved that the numerical rank of a Gaussian kenel is proportional to the volume of the data.
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Gaussian kernel
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diffusion maps
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geometric harmonics
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multiscale scheme
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sampling scattered data
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Nyström interpolation method
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multiscale decomposition
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numerical rank
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