南方医科大学学报

南方医科大学学报 ›› 2015, Vol. 35 ›› Issue (04): 474-.

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基于全变分正则化去卷积的PET部分容积校正

胡德斌，路利军，高园园，张后金，韩彦江，辜承慰，马建华   

  • 出版日期:2015-04-20 发布日期:2015-04-20

Incorporation of TV regularization in deconvolution for partial volume correction in PET
imaging

  • Online:2015-04-20 Published:2015-04-20

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摘要： 目的提出全变分正则化去卷积方法并应用于PET图像部分容积校正。方法将全变分（toal variation, TV）引入到图像退
化模型中，提出基于全变分正则化的Van Cittert（VC）和Richardson-Lucy（RL）去卷积方法。结果提出的方法分别应用于
NCAT仿真数据、NEMA NU4-2008 IQ 物理体模和肿瘤小鼠数据（均采用西门子小动物Inveon PET扫描得到）。相比于传统VC
和RL去卷积方法，本文提出方法在仿真实验中校正图像有明显的去噪和保持边缘效果，同时在小鼠实验中肿瘤区域的活度值
增加率为（10±1.8）%时，图像标准方差（standard deviation, SD）增加率分别从49.98%下降到14.26%和42.76%下降到4.70%。结
论本方法能够在校正PET部分容积效应的同时有效抑制噪声增加，可望更为准确地诊断肿瘤。

Abstract: Objective We propose a method using total variation (TV) regularization in deconvolution for partial volume
correction in PET imaging. In the degraded image model, we used TV regularization procedure in Van Cittert (VC) and
Richardson-Lucy (RL) deconvolution algorithms. These methods were tested in simulated NCAT images and images of NEMA
NU4-2008 IQ phantom and tumor-bearing mouse scanned by Simens Invoen microPET. The simulated experiment and
tumor-bearing mouse experiment showed that the algorithms using TV regularization provided superior qualitative and
quantitative appearance compared with traditional VC and RL algorithms. When the mean intensity of the tumor increased by
(10 ± 1.8)% , the SD increase percentage was decreased from 49.98% to 14.26% and from 42.76% to 4.70%, suggesting the
efficiency of the proposed algorithms for reducing PVEs in PET.