Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantitative Study on Exact Reconstruction Sampling Condition in
  Limited-view CT   In limited-view computed tomography reconstruction, iterative image
reconstruction with sparsity-exploiting methods, such as total variation (TV)
minimization, inspired by compressive sensing, potentially claims large
reductions in sampling requirements. However, a quantitative notion of this
claim is non-trivial because of the ill-defined reduction in sampling achieved
by the sparsity-exploiting method. In this paper, exact reconstruction sampling
condition for limited-view problem is studied by verifying the uniqueness of
solution in TV minimization model. Uniqueness is tested by solving a convex
optimization problem derived from the sufficient and necessary condition of
solution uniqueness. Through this method, the sufficient sampling number of
exact reconstruction is quantified for any fixed phantom and settled
geometrical parameter in the limited-view problem. This paper provides a
reference to quantify the sampling condition. Using Shepp-Logan phantom as an
example, the experiment results show the quantified sampling number and
indicate that an object would be accurately reconstructed as the scanning range
becomes narrower by increasing sampling number. The increased samplings
compensate for the deficiency of the projection angle. However, a lower bound
of the scanning range is presented, in which an exact reconstruction cannot be
obtained once the projection angle is narrowed to this extent no matter how to
increase sampling.

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The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
6
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: ao-sci
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The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn