High quality positron emission tomography reconstruction algorithm based on correlation coefficient and forward-and-backward diffusion

doi:10.11772/j.issn.1001-9081.2014.05.1482

Journal of Computer Applications ›› 2014, Vol. 34 ›› Issue (5): 1482-1485.DOI: 10.11772/j.issn.1001-9081.2014.05.1482

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High quality positron emission tomography reconstruction algorithm based on correlation coefficient and forward-and-backward diffusion

SHANG Guanhong¹,LIU Yi¹,ZHANG Quan¹,GUI Zhiguo¹,²

1. National Key laboratory for Electronic Measurement Technology, North University of China, Taiyuan Shanxi 030051, China;
2. Key Laboratory of Instrumentation Science and Dynamic Measurement, Ministry of Education (North University of China), Taiyuan Shanxi 030051, China

Received:2013-10-31 Revised:2013-12-24 Online:2014-05-01 Published:2014-05-30
Contact: SHANG Guanhong
Supported by:
National Natural Science Foundation;National Natural Science Foundation

基于相关系数和双向扩散结合的优质正电子发射断层重建算法

上官宏¹,刘祎¹,张权¹,桂志国¹,²

1. 中北大学电子测试技术国防重点实验室，太原 030051；
2. 仪器科学与动态测试教育部重点实验室（中北大学），太原 030051

通讯作者: 上官宏
作者简介:上官宏(1988-)，女，山西临汾人，博士研究生，主要研究方向：图像处理、医学图像重建；刘祎(1987-)，女，河南商丘人，博士研究生，主要研究方向：图像处理、医学图像重建；张权(1974 -)，男，山西大同人，副教授，博士研究生，主要研究方向：图像处理、图像重建；桂志国(1972-)，男，天津人，教授，博士，主要研究方向：无损检测、图像处理与重建。
基金资助:
国家自然科学基金资助项目;国家自然科学基金资助项目;山西省研究生优秀创新项目;山西省研究生优秀创新项目;山西省国际合作项目

Abstract

Abstract:

In Positron Emission Tomography (PET) computed imaging, traditional iterative algorithms have the problem of details loss and fuzzy object edges. A high quality Median Prior (MP) reconstruction algorithm based on correlation coefficient and Forward-And-Backward (FAB) diffusion was proposed to solve the problem in this paper. Firstly, a characteristic factor called correlation coefficient was introduced to represent the image local gray information. Then through combining the correlation coefficient and forward-and-backward diffusion model, a new model was made up. Secondly, considering that the forward-and-backward diffusion model has the advantages of dealing with background and edge separately, the proposed model was applied to Maximum A Posterior (MAP) reconstruction algorithm of the median prior distribution, thus a median prior reconstruction algorithm based on forward-and-backward diffusion was obtained. The simulation results show that, the new algorithm can remove the image noise while preserving object edges well. The Signal-to-Noise Ratio (SNR) and Root Mean Squared Error (RMSE) also show visually the improvement of the reconstructed image quality.

摘要：

在正电子发射断层成像（PET）中，传统迭代算法会造成重建图像细节信息丢失或目标边界模糊。为了解决上述问题，提出一种基于相关系数和双向扩散结合的优质中值先验（MP）重建算法。首先，引入特征因子相关系数来表征图像局部灰度统计信息，构造出结合相关系数的双向扩散模型；其次，考虑到双向模型对背景和边缘区别处理的优点，将新模型应用到中值先验分布的最大后验重建算法中，形成基于双向扩散的中值先验重建算法。实验结果表明，该算法在去除噪声的同时能够较好地保持图像中的目标边界信息，信噪比（SNR）和均方误差（RMSE）的变化也能直观体现重建图像质量的提高。

CLC Number:

TP391

SHANG Guanhong LIU Yi ZHANG Quan GUI Zhiguo. High quality positron emission tomography reconstruction algorithm based on correlation coefficient and forward-and-backward diffusion[J]. Journal of Computer Applications, 2014, 34(5): 1482-1485.

上官宏刘祎张权桂志国. 基于相关系数和双向扩散结合的优质正电子发射断层重建算法[J]. 计算机应用, 2014, 34(5): 1482-1485.

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High quality positron emission tomography reconstruction algorithm based on correlation coefficient and forward-and-backward diffusion

基于相关系数和双向扩散结合的优质正电子发射断层重建算法

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