Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neighborhood filters and the decreasing rearrangement   Nonlocal filters are simple and powerful techniques for image denoising. In
this paper, we give new insights into the analysis of one kind of them, the
Neighborhood filter, by using a classical although not very common
transformation: the decreasing rearrangement of a function (the image).
Independently of the dimension of the image, we reformulate the Neighborhood
filter and its iterative variants as an integral operator defined in a
one-dimensional space. The simplicity of this formulation allows to perform a
detailed analysis of its properties. Among others, we prove that the filter
behaves asymptotically as a shock filter combined with a border diffusive term,
responsible for the staircaising effect and the loss of contrast.

3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org