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Probabilistic Evaluation of Three-Dimensional Reconstructions from X-Ray Images Spanning a Limited Angle

  • 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.

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Metadaten
Author:Anja Frost, Eike Renners, Michael Hötter, Jörn Ostermann
URN:urn:nbn:de:bsz:960-opus4-4408
DOI:https://doi.org/10.3390/s130100137
Parent Title (English):Sensors
Document Type:Article
Language:English
Release Date:2014/06/13
Tag:Dempster-Shafer theory; X-ray; computed tomography; discrete tomography; limited angle
Volume:13
Issue:1
First Page:137
Last Page:151
Link to catalogue:837470528
Institutes:Fakultät I - Elektro- und Informationstechnik
Sonstige Einrichtungen
DDC classes:620 Ingenieurwissenschaften und Maschinenbau
Licence (German):License LogoCreative Commons - Namensnennung 3.0