TY - JOUR U1 - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed) 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 JF - 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 UN - https://nbn-resolving.org/urn:nbn:de:bsz:960-opus4-4408 U6 - https://doi.org/10.3390/s130100137 DO - https://doi.org/10.3390/s130100137 VL - 13 IS - 1 SP - 137 EP - 151 ER -