Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 137-151 |
| Seitenumfang | 15 |
| Fachzeitschrift | Sensors (Switzerland) |
| Jahrgang | 13 |
| Ausgabenummer | 1 |
| Publikationsstatus | Veröffentlicht - 21 Dez. 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.
ASJC Scopus Sachgebiete
- Chemie (insg.)
- Analytische Chemie
- Biochemie, Genetik und Molekularbiologie (insg.)
- Biochemie
- Physik und Astronomie (insg.)
- Atom- und Molekularphysik sowie Optik
- Physik und Astronomie (insg.)
- Instrumentierung
- Ingenieurwesen (insg.)
- Elektrotechnik und Elektronik
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in: Sensors (Switzerland), Jahrgang 13, Nr. 1, 21.12.2012, S. 137-151.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Probabilistic Evaluation of Three-Dimensional Reconstructions from X-Ray Images Spanning a Limited Angle
AU - Frost, Anja
AU - Renners, Eike
AU - Hötter, Michael
AU - Ostermann, Jörn
PY - 2012/12/21
Y1 - 2012/12/21
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.
AB - 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 - Data fusion
KW - Dempster-Shafer theory
KW - Discrete tomography
KW - Limited data
KW - Probability calculus
KW - Three-dimensional image reconstruction
KW - X-ray
UR - http://www.scopus.com/inward/record.url?scp=84872827866&partnerID=8YFLogxK
U2 - 10.3390/s130100137
DO - 10.3390/s130100137
M3 - Article
C2 - 23344378
AN - SCOPUS:84872827866
VL - 13
SP - 137
EP - 151
JO - Sensors (Switzerland)
JF - Sensors (Switzerland)
SN - 1424-8220
IS - 1
ER -