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.
Institut für Innovationstransfer, University of Applied Sciences and Arts, Hannover, Germany. anja.frost@fh-hannover.de
Anja
A
Frost
Eike
E
Renners
Michael
M
Hötter
Jörn
J
Ostermann
D000465:Algorithms; D021621:Imaging, Three-Dimensional / Q000379:methods*; D008962:Models, Theoretical; D011336:Probability; D011786:Quality Control; D012372:ROC Curve; D011857:Radiographic Image Interpretation, Computer-Assisted / Q000379:methods*; D015203:Reproducibility of Results; D014057:Tomography, X-Ray Computed / Q000379:methods*; D014965:X-Rays