Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emission tomography with a multi-bang assumption on attenuation   We consider the problem of joint reconstruction of both attenuation $a$ and
source density $f$ in emission tomography in two dimensions. This is sometimes
called the Single Photon Emission Computed Tomography (SPECT) identification
problem, or referred to as attenuation correction in SPECT. Assuming that $a$
takes only finitely many values and $f \in C_c^1(\mathbb{R}^2)$ we are able to
characterise singularities appearing in the Attenuated Radon Transform $R_a f$,
which models emission tomography data. Using this characterisation we prove
that both $a$ and $f$ can be determined in some circumstances. We also propose
a numerical algorithm to jointly compute $a$ and $f$ from $R_af$ based on a
weakly convex regularizer when $a$ only takes values from a known finite list,
and show that this algorithm performs well on some synthetic examples.

27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat