Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Joint super-resolution image reconstruction and parameter identification
  in imaging operator: Analysis of bilinear operator equations, numerical
  solution, and application to magnetic particle imaging   One important property of imaging modalities and related applications is the
resolution of image reconstructions which relies on various factors such as
instrumentation or data processing. Restrictions in resolution can have
manifold origins, e.g., limited resolution of available data, noise level in
the data, and/or inexact model operators. In this work we investigate a novel
data processing approach suited for inexact model operators. Here, two
different information sources, high-dimensional model information and
high-quality measurement on a lower resolution, are comprised in a hybrid
approach. The joint reconstruction of a high resolution image and parameters of
the imaging operator are obtained by minimizing a Tikhonov-type functional. The
hybrid approach is analyzed for bilinear operator equations with respect to
stability, convergence, and convergence rates. We further derive an algorithmic
solution exploiting an algebraic reconstruction technique. The study is
complemented by numerical results ranging from an academic test case to image
reconstruction in magnetic particle imaging.

24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci