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arXiv 2503.08546eess.IVcs.CV

通过后验均值扩散模型实现端到端的PET图像重建

End-to-End PET Image Reconstruction via a Posterior-Mean Diffusion Model

Department of Electrical and Computer Engineering, Rice University, Houston, USA(电气与计算机工程系,里士大学,美国休斯顿);Department of Imaging Physics, University of Texas MD Anderson Cancer Center, Houston, USA(影像物理系,德克萨斯大学MD安德森癌症中心,美国休斯顿)

Yiran Sun, Osama Mawlawi

AI总结:

PMDM-PET通过后验均值扩散模型实现端到端PET图像重建,兼顾感知质量与失真控制,优于现有最先进方法。

摘要:

正电子发射断层扫描(PET)是一种功能成像技术,能够可视化各种组织中的生化和生理过程。最近,基于深度学习(DL)的方法在直接将sinogram映射到PET图像方面取得了显著进展。然而,基于回归的DL模型往往产生过于平滑的重建结果,缺乏细节(即低失真、低感知质量),而基于生成对抗网络(GAN)和似然的后验采样模型则倾向于在预测中引入不可接受的伪影(即高失真、高感知质量),限制了其临床应用。为了实现稳健的感知-失真权衡,我们提出了一种新的方法,即后验均值去噪扩散模型(PMDM-PET),该方法基于最近建立的数学理论,探索扩散模型空间中感知-失真函数的闭式表达,用于从sinogram中重建PET图像。具体来说,PMDM-PET首先在最小均方误差(MSE)下获得后验均值PET预测,然后将它们的分布最优传输到地面真实PET图像的分布。实验结果表明,PMDM-PET不仅能够生成具有可能最小失真和最优感知质量的逼真PET图像,而且在定性视觉检查和定量像素级指标PSNR(dB)/SSIM/NRMSE方面均优于五个最近的最先进(SOTA)DL基线。

英文摘要:

Positron Emission Tomography (PET) is a functional imaging modality that enables the visualization of biochemical and physiological processes across various tissues. Recently, deep learning (DL)-based methods have demonstrated significant progress in directly mapping sinograms to PET images. However, regression-based DL models often yield overly smoothed reconstructions lacking of details (i.e., low distortion, low perceptual quality), whereas GAN-based and likelihood-based posterior sampling models tend to introduce undesirable artifacts in predictions (i.e., high distortion, high perceptual quality), limiting their clinical applicability. To achieve a robust perception-distortion tradeoff, we propose Posterior-Mean Denoising Diffusion Model (PMDM-PET), a novel approach that builds upon a recently established mathematical theory to explore the closed-form expression of perception-distortion function in diffusion model space for PET image reconstruction from sinograms. Specifically, PMDM-PET first obtained posterior-mean PET predictions under minimum mean square error (MSE), then optimally transports the distribution of them to the ground-truth PET images distribution. Experimental results demonstrate that PMDM-PET not only generates realistic PET images with possible minimum distortion and optimal perceptual quality but also outperforms five recent state-of-the-art (SOTA) DL baselines in both qualitative visual inspection and quantitative pixel-wise metrics PSNR (dB)/SSIM/NRMSE.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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