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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Bibliographic Details
Main Authors: Benjamin Van Dyke, Kevin R. Vixie
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/930978
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