@article{FrostRennersHoetteretal.2012,
  author    = {Anja Frost and Eike Renners and Michael H{\"o}tter and J{\"o}rn Ostermann},
  title     = {Probabilistic Evaluation of Three-Dimensional Reconstructions from X-Ray Images Spanning a Limited Angle},
  series   = {Sensors},
  volume    = {13},
  number    = {1},
  doi       = {10.3390/s130100137},
  url       = {http://nbn-resolving.de/urn:nbn:de:bsz:960-opus4-4408},
  pages     = {137 -- 151},
  year      = {2012},
  abstract  = {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.},
  language  = {en}
}