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- W2616135364 abstract "In this paper we study an anisotropic variant of the Rudin-Osher-Fatemi functional with $L^1$ fidelity term of the form [ E(u) = int_{mathbb{R}^n} phi(nabla u) + lambda | u -f |_{L^1(mathbb{R}^n)}. ] We will characterize the minimizers of $E$ in terms of the Wulff shape of $phi$ and the dual anisotropy. In particular we will calculate the subdifferential of $E$. We will apply this characterization to the special case $phi = |cdot|_1$ and $n=2$, which has been used in the denoising of 2D bar codes. In this case, we determine the shape of a minimizer $u$ when $f$ is the characteristic function of a circle." @default.
- W2616135364 created "2017-05-26" @default.
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- W2616135364 date "2017-04-03" @default.
- W2616135364 modified "2023-09-27" @default.
- W2616135364 title "Characterization of minimizers of an anisotropic variant of the Rudin-Osher-Fatemi functional with $L^1$ fidelity term" @default.
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