Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adapted sampling for 3D X-ray computed tomography   In this paper, we introduce a method to build an adapted mesh representation
of a 3D object for X-Ray tomography reconstruction. Using this representation,
we provide means to reduce the computational cost of reconstruction by way of
iterative algorithms. The adapted sampling of the reconstruction space is
directly obtained from the projection dataset and prior to any reconstruction.
It is built following two stages : firstly, 2D structural information is
extracted from the projection images and is secondly merged in 3D to obtain a
3D pointcloud sampling the interfaces of the object. A relevant mesh is then
built from this cloud by way of tetrahedralization. Critical parameters
selections have been automatized through a statistical framework, thus avoiding
dependence on users expertise. Applying this approach on geometrical shapes and
on a 3D Shepp-Logan phantom, we show the relevance of such a sampling -
obtained in a few seconds - and the drastic decrease in cells number to be
estimated during reconstruction when compared to the usual regular voxel
lattice. A first iterative reconstruction of the Shepp-Logan using this kind of
sampling shows the relevant advantages in terms of low dose or sparse
acquisition sampling contexts. The method can also prove useful for other
applications such as finite element method computations.

34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th