用物理启发的神经网络纠正锥束CT散射伪影
Physics-Inspired Gaussian Kolmogorov-Arnold Networks for X-ray Scatter Correction in Cone-Beam CT
- 结合物理先验与KAN网络建模散射分布
- 在真实和合成数据上均显著提升图像质量
- 适合医学成像领域研究人员参考
锥束CT(CBCT)利用平板探测器实现高空间分辨率的三维成像,但数据采集过程中易受散射影响,导致重建图像中出现CT值偏差和组织对比度下降,进而降低诊断准确性。为此,我们提出一种基于深度学习的散射伪影校正方法,该方法受物理先验知识启发:观测点散射概率密度分布具有投影域旋转对称性。方法采用高斯径向基函数(RBF)建模点散射函数,并将其嵌入柯尔莫哥洛夫-阿诺德网络(KAN)层,以实现高效非线性映射,学习高维散射特征。通过融合散射光子分布的物理特性与KAN的复杂函数映射能力,模型显著提升了散射表征精度。在合成与真实扫描实验中均验证了有效性,结果表明该方法能有效校正重建图像中的散射伪影,在定量指标上优于现有方法。
原文摘要 · Abstract (English)
Cone-beam CT (CBCT) employs a flat-panel detector to achieve three-dimensional imaging with high spatial resolution. However, CBCT is susceptible to scatter during data acquisition, which introduces CT value bias and reduced tissue contrast in the reconstructed images, ultimately degrading diagnostic accuracy. To address this issue, we propose a deep learning-based scatter artifact correction method inspired by physical prior knowledge. Leveraging the fact that the observed point scatter probability density distribution exhibits rotational symmetry in the projection domain. The method uses Gaussian Radial Basis Functions (RBF) to model the point scatter function and embeds it into the Kolmogorov-Arnold Networks (KAN) layer, which provides efficient nonlinear mapping capabilities for learning high-dimensional scatter features. By incorporating the physical characteristics of the scattered photon distribution together with the complex function mapping capacity of KAN, the model improves its ability to accurately represent scatter. The effectiveness of the method is validated through both synthetic and real-scan experiments. Experimental results show that the model can effectively correct the scatter artifacts in the reconstructed images and is superior to the current methods in terms of quantitative metrics.
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