Reconstruction for 3D PET Based on Total Variation Constrained Direct Fourier Method

	Reconstruction for 3D PET Based on Total Variation Constrained Direct Fourier Method
	Haiqing Yu; Zhi Chen; Heye Zhang; Kelvin Kian Loong Wong; Yunmei Chen; Huafeng Liu
刊名	PLOS ONE
	2015
英文摘要	This paper presents a total variation (TV) regularized reconstruction algorithm for 3D positron emission tomography (PET). The proposed method first employs the Fourier rebinning algorithm (FORE), rebinning the 3D data into a stack of ordinary 2D data sets as sinogram data. Then, the resulted 2D sinogram are ready to be reconstructed by conventional 2D reconstruction algorithms. Given the locally piece-wise constant nature of PET images, we introduce the total variation (TV) based reconstruction schemes. More specifically, we formulate the 2D PET reconstruction problem as an optimization problem, whose objective function consists of TV norm of the reconstructed image and the data fidelity term measuring the consistency between the reconstructed image and sinogram. To solve the resulting minimization problem, we apply an efficient methods called the Bregman operator splitting algorithm with variable step size (BOSVS). Experiments based on Monte Carlo simulated data and real data are conducted as validations. The experiment results show that the proposed method produces higher accuracy than conventional direct Fourier (DF) (bias in BOSVS is 70% of ones in DF, variance of BOSVS is 80% of ones in DF).
收录类别	SCI
原文出处	http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0138483
语种	英语
内容类型	期刊论文
源URL	[http://ir.siat.ac.cn:8080/handle/172644/7062]
专题	深圳先进技术研究院_医工所
作者单位	PLOS ONE
推荐引用方式 GB/T 7714	Haiqing Yu,Zhi Chen,Heye Zhang,et al. Reconstruction for 3D PET Based on Total Variation Constrained Direct Fourier Method[J]. PLOS ONE,2015.
APA	Haiqing Yu,Zhi Chen,Heye Zhang,Kelvin Kian Loong Wong,Yunmei Chen,&Huafeng Liu.(2015).Reconstruction for 3D PET Based on Total Variation Constrained Direct Fourier Method.PLOS ONE.
MLA	Haiqing Yu,et al."Reconstruction for 3D PET Based on Total Variation Constrained Direct Fourier Method".PLOS ONE (2015).