Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recovering vector displacement estimates in quasistatic elastography
  using sparse relaxation of the momentum equation   We consider the problem of estimating the $2D$ vector displacement field in a
heterogeneous elastic solid deforming under plane stress conditions. The
problem is motivated by applications in quasistatic elastography. From precise
and accurate measurements of one component of the $2D$ vector displacement
field and very limited information of the second component, the method
reconstructs the second component quite accurately. No a priori knowledge of
the heterogeneous distribution of material properties is required. This method
relies on using a special form of the momentum equations to filter ultrasound
displacement measurements to produce more precise estimates. We verify the
method with applications to simulated displacement data. We validate the method
with applications to displacement data measured from a tissue mimicking
phantom, and in-vivo data; significant improvements are noticed in the filtered
displacements recovered from all the tests. In verification studies, error in
lateral displacement estimates decreased from about $50\%$ to about $2\%$, and
strain error decreased from more than $250\%$ to below $2\%$.

15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn