正则化对PET重构MAP-OSEM算法的影响

Abdelwahhab Boudjelal, Bilal Attallah, A. Elmoataz, Y. Chahir, Abdelhak Goudjil
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摘要

本文研究了PET重构的MAP-OSEM算法,这是一种著名的迭代算法。利用空间正则化技术可以提高重建图像的质量,并有助于提供准确的诊断。MAP-OSEM算法是一种功能强大的图像重建算法,已被用于各种医学成像应用,包括PET重建。在这项工作中,我们使用正则化MAP-OSEM算法,将正则化项合并到目标函数中。正则化项用于提高重构图像的平滑性,通常是基于图像的先验知识选择的。MAP-OSEM算法是一种梯度上升优化方法,通过考虑泊松-高斯噪声模型的似然性和均匀先验来减少偏差,寻求最大化图像的后验分布。采用梯度上升优化方法使目标函数最大化。
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The Effect of Regularization on the MAP-OSEM Algorithm for PET Reconstruction
In this paper, we study the algorithm of MAP-OSEM for PET reconstruction which is a well known iterative algorithm. It is desired to use a spatial regularization technique can improve the quality of reconstructed images and help to provide accurate diagnosis. The MAP-OSEM algorithm is a powerful image reconstruction algorithm that has been used in a variety of medical imaging applications, including PET reconstruction. In this work, we use the regularized MAP-OSEM algorithm that incorporates a regularization term into the objective function. The regularization term is used to promote smoothness in the reconstructed image, and it is typically chosen based on prior knowledge about the image. The MAP-OSEM algorithm is a gradient ascent optimization method which seeks to maximize the posterior distribution of an image by taking into account a Poisson-Gaussian noise model for the likelihood and a uniform prior to reduce bias. The objective function is maximized by the gradient ascent optimization method.
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