TY  - JOUR
A1  - Frost, Anja
A1  - Renners, Eike
A1  - Hötter, Michael
A1  - Ostermann, Jörn
T1  - Probabilistic Evaluation of Three-Dimensional Reconstructions from X-Ray Images Spanning a Limited Angle
T2  - Sensors
N2  - An important part of computed tomography is the calculation of a three-dimensional reconstruction of an object from series of X-ray images. Unfortunately, some applications do not provide sufficient X-ray images. Then, the reconstructed objects no longer truly represent the original. Inside of the volumes, the accuracy seems to vary unpredictably. In this paper, we introduce a novel method to evaluate any reconstruction, voxel by voxel. The evaluation is based on a sophisticated probabilistic handling of the measured X-rays, as well as the inclusion of a priori knowledge about the materials that the object receiving the X-ray examination consists of. For each voxel, the proposed method outputs a numerical value that represents the probability of existence of a predefined material at the position of the voxel while doing X-ray. Such a probabilistic quality measure was lacking so far. In our experiment, false reconstructed areas get detected by their low probability. In exact reconstructed areas, a high probability predominates. Receiver Operating Characteristics not only confirm the reliability of our quality measure but also demonstrate that existing methods are less suitable for evaluating a reconstruction.
KW  - computed tomography
KW  - discrete tomography
KW  - limited angle
KW  - X-ray
KW  - Dempster-Shafer theory
Y1  - 2012
UR  - https://serwiss.bib.hs-hannover.de/frontdoor/index/index/docId/440
UR  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bsz:960-opus4-4408
VL  - 13
IS  - 1
SP  - 137
EP  - 151
ER  -