State space approach for joint estimation of activity and attenuation map from PET emission sinograms  

作　　者：Liu Huafeng You Hongshun Shi Pengcheng 

机构地区：[1]State Key Laboratory of Modem Optical Instrumentation, Zhejiang University, Hangzhou 310027, China [2]College of BiomedicalEngineering, Southern Medical University, Guangzhou 510015, China

出　　处：《Progress in Natural Science:Materials International》2007年第5期614-617,共4页自然科学进展·国际材料（英文版）

基　　金：Supported by National Program on Key Basic Research Projects (Grant No. 2003CB716100);the Hong Kong Research Grants Council (HKUST6151/03E);National Natural Science Foundation of China (60021201);the Key Program of Sci & Tech Department of Zhejiang Province (2005C21019)

摘　　要：Quantitative estimation of radioactivity map has important clinical implications for better diagnosis and understanding of cancers. Although attenuation map and activity map are usually treated sequentially, they can obviously henefit a great deal when the transmission data is missing. In this paper, we propose a novel scheme of simultaneously solving for attenuation map and activity distribution from emission sinograms. Our strategy combines the measurement model of PET, and the attenuation parameters are treated as random variables with known prior statistics. After the conversion to state space representation, the extended Kalman filtering procedures are adopted to linearize the equations and to provide the joint estimates in an approximate optimal sense. Experiments have been performed on both synthetic data to illustrate its abilities and benefits.放射性地图的量的评价为癌症的更好的诊断和理解有重要临床的含意。尽管变细地图和活动地图通常顺序被对待，当传播数据是失踪的时，他们能显然有益于很多。在这篇论文，我们建议同时从排放 sinograms 为变细地图和活动分发解决的一个新奇计划。我们的策略联合宠物，和变细参数的测量模型与已知的优先的统计被当作随机的变量。在到州的空间 representation' 的变换以后，过滤过程的扩大 Kalman 被采用线性化方程并且在近似最佳的意义提供联合估计。实验在两个合成数据上被执行了说明它的能力和好处。

关 键 词：positron emission tomography attenuation correction state space methods 

分 类 号：R814.42[医药卫生—影像医学与核医学] R811[医药卫生—放射医学]