Sinogram Blurring Matrix Estimation From Point Sources Measurements With Rank-One Approximation for Fully 3-D PET.

	Sinogram Blurring Matrix Estimation From Point Sources Measurements With Rank-One Approximation for Fully 3-D PET.
	Gong, Kuang ; Zhou, Jian ; Tohme, Michel ; Judenhofer, Martin ; Yang, Yongfeng ; Qi, Jinyi
刊名	IEEE TRANSACTIONS ON MEDICAL IMAGING
	2017
文献子类	期刊论文
英文摘要	An accurate system matrix is essential in positron emission tomography (PET) for reconstructing high quality images. To reduce storage size and image reconstruction time, we factor the system matrix into a product of a geometry projection matrix and a sinogram blurring matrix. The geometric projection matrixis computed analytically and the sinogram blurring matrix is estimated from point source measurements. Previously, we have estimated a 2-D blurring matrixfor a preclinical PET scanner. The 2-D blurring matrix only considers blurring effects within a transaxial sinogram and does not compensate for inter-sinogramblurring effects. For PET scanners with a long axial field of view, inter-sinogram blurring can be a major problem influencing the image quality in the axial direction. Hence, the estimation of a 4-D blurring matrix is desirable to further improve the image quality. The 4-D blurring matrix estimation is an ill-conditioned problem due to the large number of unknowns. Here, we propose a rank-one approximation for each blurring kernel image formed by a row vector of the sinogram blurring matrix to improve the stability of the 4-D blurring matrix estimation. The proposed method is applied to the simulated data as well as the real data obtained from an Inveon microPET scanner. The results show that the newly estimated 4-D blurring matrix can improve the image quality over those obtained with 2-D blurring matrix and requires less point source scans to achieve similar image quality compared with an unconstrained 4-D blurring matrixestimation.
URL标识	查看原文
语种	英语
内容类型	期刊论文
源URL	[http://ir.siat.ac.cn:8080/handle/172644/12092]
专题	深圳先进技术研究院_医工所
作者单位	IEEE TRANSACTIONS ON MEDICAL IMAGING
推荐引用方式 GB/T 7714	Gong, Kuang , Zhou, Jian , Tohme, Michel ,et al. Sinogram Blurring Matrix Estimation From Point Sources Measurements With Rank-One Approximation for Fully 3-D PET.[J]. IEEE TRANSACTIONS ON MEDICAL IMAGING,2017.
APA	Gong, Kuang , Zhou, Jian , Tohme, Michel , Judenhofer, Martin , Yang, Yongfeng ,& Qi, Jinyi.(2017).Sinogram Blurring Matrix Estimation From Point Sources Measurements With Rank-One Approximation for Fully 3-D PET..IEEE TRANSACTIONS ON MEDICAL IMAGING.
MLA	Gong, Kuang ,et al."Sinogram Blurring Matrix Estimation From Point Sources Measurements With Rank-One Approximation for Fully 3-D PET.".IEEE TRANSACTIONS ON MEDICAL IMAGING (2017).