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There Are Thin Minimizers of the L1TV Functional

Benjamin Van Dyke and Kevin R. Vixie

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: 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.

Date: 2012
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https://doi.org/10.1155/2012/930978

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