Abstract
A circular scanning trajectory is and will likely remain a popular choice of trajectory in computed tomography (CT) imaging because it is easy to implement and control. Filtered-backprojection (FBP)-based algorithms have been developed previously for approximate and exact reconstruction of the entire image or a region of interest within the image in circular cone-beam and fan-beam cases. Recently, we have developed a 3D FBP-based algorithm for image reconstruction on PI-line segments in a helical cone-beam scan. In this work, we demonstrated that the 3D FBP-based algorithm indeed provided a rather general formulation for image reconstruction from divergent projections (such as cone-beam and fan-beam projections). On the basis of this formulation we derived new approximate or exact algorithms for image reconstruction in circular cone-beam or fan-beam scans, which can be interpreted as special cases of the helical scan. Existing algorithms corresponding to the derived algorithms were identified. We also performed a preliminary numerical study to verify our theoretical results in each of the cases. The results in the work can readily be generalized to other non-circular trajectories.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 4349-4369 |
| Number of pages | 21 |
| Journal | Physics in Medicine and Biology |
| Volume | 49 |
| Issue number | 18 |
| DOIs | |
| State | Published - Sep 21 2004 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Biomedical Engineering
- Radiology Nuclear Medicine and imaging
- Physics and Astronomy (miscellaneous)
- Radiological and Ultrasound Technology
Cite this
A unified analysis of FBP-based algorithms in helical cone-beam and circular cone- and fan-beam scans. / Pan, Xiaochuan; Xia, Dan; Zou, Yu; Yu, Lifeng.
In: Physics in Medicine and Biology, Vol. 49, No. 18, 21.09.2004, p. 4349-4369.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A unified analysis of FBP-based algorithms in helical cone-beam and circular cone- and fan-beam scans
AU - Pan, Xiaochuan
AU - Xia, Dan
AU - Zou, Yu
AU - Yu, Lifeng
PY - 2004/9/21
Y1 - 2004/9/21
N2 - A circular scanning trajectory is and will likely remain a popular choice of trajectory in computed tomography (CT) imaging because it is easy to implement and control. Filtered-backprojection (FBP)-based algorithms have been developed previously for approximate and exact reconstruction of the entire image or a region of interest within the image in circular cone-beam and fan-beam cases. Recently, we have developed a 3D FBP-based algorithm for image reconstruction on PI-line segments in a helical cone-beam scan. In this work, we demonstrated that the 3D FBP-based algorithm indeed provided a rather general formulation for image reconstruction from divergent projections (such as cone-beam and fan-beam projections). On the basis of this formulation we derived new approximate or exact algorithms for image reconstruction in circular cone-beam or fan-beam scans, which can be interpreted as special cases of the helical scan. Existing algorithms corresponding to the derived algorithms were identified. We also performed a preliminary numerical study to verify our theoretical results in each of the cases. The results in the work can readily be generalized to other non-circular trajectories.
AB - A circular scanning trajectory is and will likely remain a popular choice of trajectory in computed tomography (CT) imaging because it is easy to implement and control. Filtered-backprojection (FBP)-based algorithms have been developed previously for approximate and exact reconstruction of the entire image or a region of interest within the image in circular cone-beam and fan-beam cases. Recently, we have developed a 3D FBP-based algorithm for image reconstruction on PI-line segments in a helical cone-beam scan. In this work, we demonstrated that the 3D FBP-based algorithm indeed provided a rather general formulation for image reconstruction from divergent projections (such as cone-beam and fan-beam projections). On the basis of this formulation we derived new approximate or exact algorithms for image reconstruction in circular cone-beam or fan-beam scans, which can be interpreted as special cases of the helical scan. Existing algorithms corresponding to the derived algorithms were identified. We also performed a preliminary numerical study to verify our theoretical results in each of the cases. The results in the work can readily be generalized to other non-circular trajectories.
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U2 - 10.1088/0031-9155/49/18/011
DO - 10.1088/0031-9155/49/18/011
M3 - Article
C2 - 15509070
AN - SCOPUS:4644320732
VL - 49
SP - 4349
EP - 4369
JO - Physics in Medicine and Biology
JF - Physics in Medicine and Biology
SN - 0031-9155
IS - 18
ER -