Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of minimizers of an anisotropic variant of the
  Rudin-Osher-Fatemi functional with $L^1$ fidelity term   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.

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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: quant-ph