Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An inversion algorithm for P-functions with applications to Multi-energy
  CT   Multi-energy computed tomography (ME-CT) is an x-ray transmission imaging
technique that uses the energy dependence of x-ray photon attenuation to
determine the elemental composition of an object of interest. Mathematically,
forward ME-CT measurements are modeled by a nonlinear integral transform. In
this paper, local conditions for global invertibility of the ME-CT transform
are studied, and explicit stability estimates quantifying the error propagation
from measurements to reconstructions are provided. Motivated from the inverse
problem of image reconstruction in ME-CT, an iterative inversion algorithm for
the so-called P-functions is proposed. Numerical simulations for ME-CT, in two
and three materials settings with an equal number of energy measurements,
confirm the theoretical predictions.

9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th