Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Is a curved flight path in SAR better than a straight one?   In the plane, we study the transform $R_\gamma f$ of integrating a unknown
function $f$ over circles centered at a given curve $\gamma$. This is a
simplified model of SAR, when the radar is not directed but has other
applications, like thermoacoustic tomography, for example. We study the problem
of recovering the wave front set $\WF(f)$. If the visible singularities of $f$
hit $\gamma$ once, we show that the "artifacts" cannot be resolved. If $\gamma$
is a closed curve, we show that this is still true. On the other hand, if $f$
is known a priori to have singularities in a compact set, then we show that one
can recover $\WF(f)$, and moreover, this can be done in a simple explicit way,
using backpropagation for the wave equation.

36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci