用随机微分方程修复缺失角度的CT图像,效果优于现有方法。
RN-SDEs: Limited-Angle CT Reconstruction with Residual Null-Space Diffusion Stochastic Differential Equations
- 基于均值回复的随机微分方程建模残差空域扩散过程。
- 在ChromSTEM和C4KC-KiTS数据集上实现超分辨率重建,性能领先。
- 适合医学与材料领域中低采样率CT成像任务,兼顾精度与效率。
计算机断层扫描广泛应用在医疗成像和材料分析中,但某些角度缺失扫描信息会导致图像失真或伪影,即有限角断层成像(LACT)问题。本文提出残差空域扩散随机微分方程(RN-SDEs),一种基于均值回复(MR)SDE的扩散模型。为验证其泛化能力,我们在ChromSTEM和C4KC-KiTS两个不同LACT数据集上进行实验。通过利用学习到的MR-SDE作为先验,并结合基于范围-空域分解(RNSD)的数据一致性修正策略,可从严重退化的输入中恢复高质量图像,在多数LACT任务中达到当前最优性能。此外,我们还定量对比了RN-SDE与其他网络在计算复杂度和运行效率上的表现,凸显所提方法的高效性。
原文摘要 · Abstract (English)
Computed tomography is a widely used imaging modality with applications ranging from medical imaging to material analysis. One major challenge arises from the lack of scanning information at certain angles, resulting in distortion or artifacts in the reconstructed images. This is referred to as the Limited Angle Computed Tomography (LACT) reconstruction problem. To address this problem, we propose the use of Residual Null-Space Diffusion Stochastic Differential Equations (RN-SDEs), which are a variant of diffusion models that characterize the diffusion process with mean-reverting (MR) stochastic differential equations. To demonstrate the generalizability of RN-SDEs, we conducted experiments with two different LACT datasets, ChromSTEM and C4KC-KiTS. Through extensive experiments, we demonstrate that by leveraging learned MR-SDEs as a prior and emphasizing data consistency using Range-Null Space Decomposition (RNSD) based rectification, we can recover high-quality images from severely degraded ones and achieve state-of-the-art performance in most LACT tasks. Additionally, we present a quantitative comparison of RN-SDE with other networks, in terms of computational complexity and runtime efficiency, highlighting the superior effectiveness of our proposed approach.
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