An efficient and modified median root prior based framework for PET/SPECT reconstruction algorithm

Shailendra Tiwari, R. Srivastava
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Abstract

Bayesian statistical algorithm plays a significant role in the quality of the images produced by Emission Tomography like PET/SPECT, since they can provide an accurate system model. The major drawbacks associated with this algorithm include the problem of slow convergence, choice of optimum initial point and ill-posedness. To address these issues, in this paper a hybrid-cascaded framework for Median Root Prior (MRP) based reconstruction algorithm is proposed. This framework consists of breaking the reconstruction process into two parts viz. primary and secondary. During primary part, simultaneous algebraic reconstruction technique (SART) is applied to overcome the problems of slow convergence and initialization. It provides fast convergence and produce good reconstruction results with lesser number of iterations than other iterative methods. The task of primary part is to provide an enhanced image to secondary part to be used as an initial estimate for reconstruction process. The secondary part is a hybrid combination of two parts namely the reconstruction part and the prior part. The reconstruction is done using Median Root Prior (MRP) while Anisotropic Diffusion (AD) is used as prior to deal with ill-posedness. A comparative analysis of the proposed model with some other standard methods in literature is presented both qualitatively and quantitatively for a simulated phantom and a standard medical image test data. Using cascaded primary and secondary reconstruction steps, yields significant improvements in reconstructed image quality. It also accelerates the convergence and provides enhanced results using the projection data. The obtained result justifies the applicability of the proposed method.
基于改进中值根先验的PET/SPECT重构算法框架
由于贝叶斯统计算法可以提供准确的系统模型,因此在PET/SPECT等发射层析成像产生的图像质量中起着重要作用。该算法的主要缺点是收敛速度慢、最优初始点的选择和不适定性问题。为了解决这些问题,本文提出了一种混合级联框架的基于中值根先验(MRP)的重构算法。该框架包括将重建过程分为主要和次要两部分。在初始阶段,采用同步代数重构技术(SART)克服了算法收敛慢和初始化慢的问题。与其他迭代方法相比,该方法收敛速度快,迭代次数少,重构效果好。初级部分的任务是向次级部分提供增强图像,作为重建过程的初始估计。二次部分是重构部分和前置部分两部分的混合组合。利用中值根先验(MRP)进行重建,利用各向异性扩散(AD)作为先验处理病态性。并对模拟幻影和标准医学图像测试数据,与文献中其他标准方法进行了定性和定量的比较分析。使用级联的初级和次级重建步骤,可显著提高重建图像的质量。它还加速了收敛,并使用投影数据提供了增强的结果。所得结果证明了所提方法的适用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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