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LCEDiff: 物理启发生成扩散模型及其在稀疏角度CT重建中的应用

LCEDiff: Physics-inspired generative modeling in the sinogram domain for sparse-view CT reconstruction

  • 摘要: 本文提出了一种基于局部相关方程(Local Correlation Equation,LCE)的稀疏角度CT (Com ̄puted Tomography)生成式重建框架。由于CT投影数据缺乏结构性特征,难以直接描述其分布规律。为此,本文基于信号相关性模型LCE,构建了LCEDiff深度重建框架,通过LCE对投影分布建模,并结合扩散模型以恢复投影域中缺失的信息。结果表明,本文所提方法不仅能在投影域稀疏角度情况下重建出满意图像,还能提高采样的稳定性。

     

    Abstract: We present a generalized framework for sparse-view CT reconstruction using a generative diffusion model based on the Local Correlation Equation (LCE). In particular, due to the complex data distribution in the sinogram domain, it is difficult to utilize signal models for generative sampling. In this work, we build upon the LCE to propose LCEDiff that models the sinogram distribution using LCE while recovers missing information by using diffusion modeling. Experimental results show that our proposed method not only reconstructs satisfactory images under the sparse-view condition in the sinogram domain, but also improves sampling stability.

     

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