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- Title
Probabilistic Evaluation of Three-Dimensional Reconstructions from X-Ray Images Spanning a Limited Angle.
- Authors
Frost, Anja; Renners, Eike; Hötter, Michael; Ostermann, Jörn
- 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.
- Subjects
THREE-dimensional imaging; IMAGE reconstruction; DEMPSTER-Shafer theory; X-rays; DISCRETE tomography; PROBABILITY theory; IMAGE quality analysis
- Publication
Sensors (14248220), 2013, Vol 13, Issue 1, p137
- ISSN
1424-8220
- Publication type
Article
- DOI
10.3390/s130100137