There are thin minimizers of the \(L^{1}TV\) functional (Q448862)
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scientific article; zbMATH DE number 6078839
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | There are thin minimizers of the \(L^{1}TV\) functional |
scientific article; zbMATH DE number 6078839 |
Statements
There are thin minimizers of the \(L^{1}TV\) functional (English)
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7 September 2012
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Summary: We show the surprising result that while the local reach of the boundary of an \(L^1TV\) minimizer is bounded below by \(1/\lambda\), the global reach can be smaller. We do this by demonstrating that several example minimizing sets are not equal to the union of the \(1/\lambda\)-balls they contain.
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local reach
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global reach
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\(1/\lambda\)-balls
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0.7386335730552673
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0.7360396981239319
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0.7342883944511414
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0.7293776869773865
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