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arxiv: 1206.4357 · v1 · pith:DJZO7ZN4new · submitted 2012-06-19 · 🧮 math.CA · math.OC

There are Thin Minimizers of the L1TV Functional

classification 🧮 math.CA math.OC
keywords l1tvlambdareachballsbelowboundaryboundedcontain
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In this paper we show the surprising results that while the local reach of the boundary of an L1TV minimizer is bounded below by 1/lambda, the global reach can be smaller. We do this by demonstrating several example minimizing sets not equal to the union of the 1/lambda -balls they contain.

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