A rebinning-type backprojection-filtration algorithm for image reconstruction in helical cone-beam CT

Lifeng Yu; Dan Xia; Yu Zou; Emil Sidky; Xiaoehuan Pan

doi:10.1109/NSSMIC.2006.356475

A rebinning-type backprojection-filtration algorithm for image reconstruction in helical cone-beam CT

Lifeng Yu, Dan Xia, Yu Zou, Emil Sidky, Xiaoehuan Pan

Radiology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

We developed an exact algorithm for image reconstruction in helical cone-beam CT based upon the backprojection-filtration (BPF) algorithm. This algorithm has the same backprojection-filtration form while reconstructing images in a rebinning geometry. It first converts the cone-beam data into fan-parallel-beam data, and then backprojects the data derivatives onto the PI-line segments, finally performs a finite inverse Hilbert transform on each Pi-line segment to obtain the reconstruction. It retains the properties of the original BPF algorithm in that it also requires minimum data and can reconstruct ROI images from truncated data. More importantly, due to the elimination of the weighting factor before the backprojection, it improves the computational efficiency and the noise and resolution properties in reconstructed images.

Original language	English (US)
Title of host publication	2006 IEEE Nuclear Science Symposium - Conference Record
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2869-2872
Number of pages	4
ISBN (Print)	1424405610, 9781424405619
DOIs	https://doi.org/10.1109/NSSMIC.2006.356475
State	Published - Jan 1 2006
Event	2006 IEEE Nuclear Science Symposium, Medical Imaging Conference and 15th International Workshop on Room-Temperature Semiconductor X- and Gamma-Ray Detectors, Special Focus Workshops, NSS/MIC/RTSD - San Diego, CA, United States Duration: Oct 29 2006 → Nov 4 2006

Publication series

Name	IEEE Nuclear Science Symposium Conference Record
Volume	5
ISSN (Print)	1095-7863

Other

Other	2006 IEEE Nuclear Science Symposium, Medical Imaging Conference and 15th International Workshop on Room-Temperature Semiconductor X- and Gamma-Ray Detectors, Special Focus Workshops, NSS/MIC/RTSD
Country	United States
City	San Diego, CA
Period	10/29/06 → 11/4/06

Keywords

Backprojection-filtration (BPF)
Computed tomography (CT)
Cone-beam projection
Image reconstruction
Region of interest (ROI)

ASJC Scopus subject areas

Radiation
Nuclear and High Energy Physics
Radiology Nuclear Medicine and imaging

Access to Document

10.1109/NSSMIC.2006.356475

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Cite this

Yu, L., Xia, D., Zou, Y., Sidky, E., & Pan, X. (2006). A rebinning-type backprojection-filtration algorithm for image reconstruction in helical cone-beam CT. In 2006 IEEE Nuclear Science Symposium - Conference Record (pp. 2869-2872). [4179632] (IEEE Nuclear Science Symposium Conference Record; Vol. 5). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/NSSMIC.2006.356475

A rebinning-type backprojection-filtration algorithm for image reconstruction in helical cone-beam CT. / Yu, Lifeng; Xia, Dan; Zou, Yu; Sidky, Emil; Pan, Xiaoehuan.

2006 IEEE Nuclear Science Symposium - Conference Record. Institute of Electrical and Electronics Engineers Inc., 2006. p. 2869-2872 4179632 (IEEE Nuclear Science Symposium Conference Record; Vol. 5).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Yu, L, Xia, D, Zou, Y, Sidky, E & Pan, X 2006, A rebinning-type backprojection-filtration algorithm for image reconstruction in helical cone-beam CT. in 2006 IEEE Nuclear Science Symposium - Conference Record., 4179632, IEEE Nuclear Science Symposium Conference Record, vol. 5, Institute of Electrical and Electronics Engineers Inc., pp. 2869-2872, 2006 IEEE Nuclear Science Symposium, Medical Imaging Conference and 15th International Workshop on Room-Temperature Semiconductor X- and Gamma-Ray Detectors, Special Focus Workshops, NSS/MIC/RTSD, San Diego, CA, United States, 10/29/06. https://doi.org/10.1109/NSSMIC.2006.356475

Yu L, Xia D, Zou Y, Sidky E, Pan X. A rebinning-type backprojection-filtration algorithm for image reconstruction in helical cone-beam CT. In 2006 IEEE Nuclear Science Symposium - Conference Record. Institute of Electrical and Electronics Engineers Inc. 2006. p. 2869-2872. 4179632. (IEEE Nuclear Science Symposium Conference Record). https://doi.org/10.1109/NSSMIC.2006.356475

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abstract = "We developed an exact algorithm for image reconstruction in helical cone-beam CT based upon the backprojection-filtration (BPF) algorithm. This algorithm has the same backprojection-filtration form while reconstructing images in a rebinning geometry. It first converts the cone-beam data into fan-parallel-beam data, and then backprojects the data derivatives onto the PI-line segments, finally performs a finite inverse Hilbert transform on each Pi-line segment to obtain the reconstruction. It retains the properties of the original BPF algorithm in that it also requires minimum data and can reconstruct ROI images from truncated data. More importantly, due to the elimination of the weighting factor before the backprojection, it improves the computational efficiency and the noise and resolution properties in reconstructed images.",

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AB - We developed an exact algorithm for image reconstruction in helical cone-beam CT based upon the backprojection-filtration (BPF) algorithm. This algorithm has the same backprojection-filtration form while reconstructing images in a rebinning geometry. It first converts the cone-beam data into fan-parallel-beam data, and then backprojects the data derivatives onto the PI-line segments, finally performs a finite inverse Hilbert transform on each Pi-line segment to obtain the reconstruction. It retains the properties of the original BPF algorithm in that it also requires minimum data and can reconstruct ROI images from truncated data. More importantly, due to the elimination of the weighting factor before the backprojection, it improves the computational efficiency and the noise and resolution properties in reconstructed images.

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