Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Local Robust Quaternion Matrix Completion for Large-Scale Color
  Images and Videos Inpainting   The image nonlocal self-similarity (NSS) prior refers to the fact that a
local patch often has many nonlocal similar patches to it across the image and
has been widely applied in many recently proposed machining learning algorithms
for image processing. However, there is no theoretical analysis on its working
principle in the literature. In this paper, we discover a potential causality
between NSS and low-rank property of color images, which is also available to
grey images. A new patch group based NSS prior learning scheme is proposed to
learn explicit NSS models of natural color images. The numerical low-rank
property of patched matrices is also rigorously proved. The NSS-based QMC
algorithm computes an optimal low-rank approximation to the high-rank color
image, resulting in high PSNR and SSIM measures and particularly the better
visual quality. A new tensor NSS-based QMC method is also presented to solve
the color video inpainting problem based on quaternion tensor representation.
The numerical experiments on large-scale color images and videos indicate the
advantages of NSS-based QMC over the state-of-the-art methods.

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The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
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The categories of this paper are: adap-org
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci