Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized SART Methods for Tomographic Imaging   Nowadays, the field computed tomography (CT) encompasses a large variety of
settings, ranging from nanoscale to meter-sized objects imaged by different
kinds of radiation in various acquisition modes. This experimental diversity
challenges the flexibility of tomographic reconstruction methods. Kaczmarz-type
methods, which exploit the natural block-structure of tomographic inverse
problems, are a promising candidate to provide the required versatility in a
computationally efficient manner. In the present work, it is shown that indeed
a surprisingly general class of tomographic Kaczmarz-iterations may be
efficiently evaluated via computational schemes of a similar structure as
updates of the so-called simultaneous algebraic reconstruction technique
(SART). This enables regularized reconstructions with non-trivial
image-formation models as well as non-quadratic or even non-convex
data-fidelity terms at low computational costs. Moreover, the proposed
generalized SART schemes are equally applicable in parallel- and cone-beam
settings and regardless of the choice of tomographic incident directions. Their
potential is illustrated by outlining applications in several non-standard
tomographic settings, including polychromatic CT and X-ray phase contrast
tomography.

25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin