There Are Thin Minimizers of the L1TV Functional
We show the surprising results that while the local reach of the boundary of an 𝐿1𝑇𝑉 minimizer is bounded below by 1/𝜆, the global reach can be smaller. We do this by demonstrating several example minimizing sets not equal to the union of the 1/𝜆-balls they contain.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/930978 |
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| Summary: | We show the surprising results that while the local reach of the boundary of an 𝐿1𝑇𝑉
minimizer is bounded below by 1/𝜆, the global reach can be smaller. We do this by demonstrating several example minimizing sets not equal to the union of the 1/𝜆-balls they contain. |
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| ISSN: | 1085-3375 1687-0409 |