Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear projection digital image inpainting and restoration methods   This paper concerns with nonuniform sampling and interpolation methods
combined with variational models for the solution of a generalized image
inpainting problem and the restoration of digital signals. In particular, we
discuss the problem of reconstructing a digital signal/image from very few,
sparse, and complete information and a substantial incomplete information,
which will be assumed as the result of a nonlinear distortion. As a typical and
inspiring example, we illustrate the concrete problem of the color restoration
of a destroyed art fresco from its few known fragments and some gray picture
taken prior to the damage. Numerical implementations are included together with
several examples and numerical results to illustrate the proposed method. The
numerical experience suggests furthermore that a particular system of coupled
Hamilton-Jacobi equations is well-posed.

5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio