Noise reduction for low-dose helical CT by fully 3D penalized weighted least-squares sinogram smoothing

Jing Wang; Tianfang Li; Hongbing Lu; Zhengrong Liang

doi:10.1117/12.653844

Noise reduction for low-dose helical CT by fully 3D penalized weighted least-squares sinogram smoothing

Jing Wang, Tianfang Li, Hongbing Lu, Zhengrong Liang

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

1 Scopus citations

Abstract

Helical computed tomography (HCT) has several advantages over conventional step-and-shoot CT for imaging a relatively large object, especially for dynamic studies. However, HCT may increase X-ray exposure significantly to the patient. This work aims to reduce the radiation by lowering the X-ray tube current (mA) and filtering the low-mA (or dose) sinogram noise. Based on the noise properties of HCT sinogram, a three-dimensional (3D) penalized weighted least-squares (PWLS) objective function was constructed and an optimal sinogram was estimated by minimizing the objective function. To consider the difference of signal correlation among different direction of the HCT sinogram, an anisotropic Markov random filed (MRP) Gibbs function was designed as the penalty. The minimization of the objection function was performed by iterative Gauss-Seidel updating strategy. The effectiveness of the 3D-PWLS sinogram smoothing for low-dose HCT was demonstrated by a 3D Shepp-Logan head phantom study. Comparison studies with our previously developed KL domain PWLS sinogram smoothing algorithm indicate that the KL+2D-PWLS algorithm shows better performance on in-plane noise-resolution trade-off while the 3D-PLWS shows better performance on r-axis noise-resolution trade-off. Receiver operating characteristic (ROC) studies by using channelized Hotelling observer (CHO) shows that 3D-PWLS and KL+2DPWLS algorithms have similar performance on detectability in low-contrast environment.

Original language	English (US)
Title of host publication	Medical Imaging 2006
Subtitle of host publication	Physics of Medical Imaging
DOIs	https://doi.org/10.1117/12.653844
State	Published - 2006
Event	Medical Imaging 2006: Physics of Medical Imaging - San Diego, CA, United States Duration: Feb 12 2006 → Feb 16 2006

Publication series

Name	Progress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume	6142 III
ISSN (Print)	1605-7422

Other

Other	Medical Imaging 2006: Physics of Medical Imaging
Country/Territory	United States
City	San Diego, CA
Period	2/12/06 → 2/16/06

Keywords

3D PWLS criterion
Anisotropic MRP Gibbs function
Low-dose HCT
Noise reduction
ROC curves of CHO observer studies
Sinogram smoothing

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Biomaterials
Atomic and Molecular Physics, and Optics
Radiology Nuclear Medicine and imaging

Access to Document

10.1117/12.653844

Cite this

Noise reduction for low-dose helical CT by fully 3D penalized weighted least-squares sinogram smoothing. / Wang, Jing; Li, Tianfang; Lu, Hongbing et al.
Medical Imaging 2006: Physics of Medical Imaging. 2006. 61424E (Progress in Biomedical Optics and Imaging - Proceedings of SPIE; Vol. 6142 III).

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

Wang, J, Li, T, Lu, H & Liang, Z 2006, Noise reduction for low-dose helical CT by fully 3D penalized weighted least-squares sinogram smoothing. in Medical Imaging 2006: Physics of Medical Imaging., 61424E, Progress in Biomedical Optics and Imaging - Proceedings of SPIE, vol. 6142 III, Medical Imaging 2006: Physics of Medical Imaging, San Diego, CA, United States, 2/12/06. https://doi.org/10.1117/12.653844

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abstract = "Helical computed tomography (HCT) has several advantages over conventional step-and-shoot CT for imaging a relatively large object, especially for dynamic studies. However, HCT may increase X-ray exposure significantly to the patient. This work aims to reduce the radiation by lowering the X-ray tube current (mA) and filtering the low-mA (or dose) sinogram noise. Based on the noise properties of HCT sinogram, a three-dimensional (3D) penalized weighted least-squares (PWLS) objective function was constructed and an optimal sinogram was estimated by minimizing the objective function. To consider the difference of signal correlation among different direction of the HCT sinogram, an anisotropic Markov random filed (MRP) Gibbs function was designed as the penalty. The minimization of the objection function was performed by iterative Gauss-Seidel updating strategy. The effectiveness of the 3D-PWLS sinogram smoothing for low-dose HCT was demonstrated by a 3D Shepp-Logan head phantom study. Comparison studies with our previously developed KL domain PWLS sinogram smoothing algorithm indicate that the KL+2D-PWLS algorithm shows better performance on in-plane noise-resolution trade-off while the 3D-PLWS shows better performance on r-axis noise-resolution trade-off. Receiver operating characteristic (ROC) studies by using channelized Hotelling observer (CHO) shows that 3D-PWLS and KL+2DPWLS algorithms have similar performance on detectability in low-contrast environment.",

keywords = "3D PWLS criterion, Anisotropic MRP Gibbs function, Low-dose HCT, Noise reduction, ROC curves of CHO observer studies, Sinogram smoothing",

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N2 - Helical computed tomography (HCT) has several advantages over conventional step-and-shoot CT for imaging a relatively large object, especially for dynamic studies. However, HCT may increase X-ray exposure significantly to the patient. This work aims to reduce the radiation by lowering the X-ray tube current (mA) and filtering the low-mA (or dose) sinogram noise. Based on the noise properties of HCT sinogram, a three-dimensional (3D) penalized weighted least-squares (PWLS) objective function was constructed and an optimal sinogram was estimated by minimizing the objective function. To consider the difference of signal correlation among different direction of the HCT sinogram, an anisotropic Markov random filed (MRP) Gibbs function was designed as the penalty. The minimization of the objection function was performed by iterative Gauss-Seidel updating strategy. The effectiveness of the 3D-PWLS sinogram smoothing for low-dose HCT was demonstrated by a 3D Shepp-Logan head phantom study. Comparison studies with our previously developed KL domain PWLS sinogram smoothing algorithm indicate that the KL+2D-PWLS algorithm shows better performance on in-plane noise-resolution trade-off while the 3D-PLWS shows better performance on r-axis noise-resolution trade-off. Receiver operating characteristic (ROC) studies by using channelized Hotelling observer (CHO) shows that 3D-PWLS and KL+2DPWLS algorithms have similar performance on detectability in low-contrast environment.

AB - Helical computed tomography (HCT) has several advantages over conventional step-and-shoot CT for imaging a relatively large object, especially for dynamic studies. However, HCT may increase X-ray exposure significantly to the patient. This work aims to reduce the radiation by lowering the X-ray tube current (mA) and filtering the low-mA (or dose) sinogram noise. Based on the noise properties of HCT sinogram, a three-dimensional (3D) penalized weighted least-squares (PWLS) objective function was constructed and an optimal sinogram was estimated by minimizing the objective function. To consider the difference of signal correlation among different direction of the HCT sinogram, an anisotropic Markov random filed (MRP) Gibbs function was designed as the penalty. The minimization of the objection function was performed by iterative Gauss-Seidel updating strategy. The effectiveness of the 3D-PWLS sinogram smoothing for low-dose HCT was demonstrated by a 3D Shepp-Logan head phantom study. Comparison studies with our previously developed KL domain PWLS sinogram smoothing algorithm indicate that the KL+2D-PWLS algorithm shows better performance on in-plane noise-resolution trade-off while the 3D-PLWS shows better performance on r-axis noise-resolution trade-off. Receiver operating characteristic (ROC) studies by using channelized Hotelling observer (CHO) shows that 3D-PWLS and KL+2DPWLS algorithms have similar performance on detectability in low-contrast environment.

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Noise reduction for low-dose helical CT by fully 3D penalized weighted least-squares sinogram smoothing

Abstract

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Keywords

ASJC Scopus subject areas

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