用图正则化让低剂量CT重建仅用9万参数,性能逼近顶尖方法。
Parameter-Efficient CT Reconstruction via Deep Graph Laplacian Regularization

- 在优化框架中加入图拉普拉斯正则,配合轻量CNN模块
- 仅用1000张数据训练,达30.70 dB PSNR,提升6.33 dB
- 参数效率比主流方法高5.8倍,适合算力受限的医疗场景
低剂量计算机断层扫描(LDCT)重建面临质量与资源消耗间的权衡。尽管深度学习方法表现优异,但通常需超过50万参数,并在超3.5万张图像的数据集上训练。本文研究图正则化在严苛资源约束下是否能有效降噪。提出深度图拉普拉斯正则化(Deep GLR),将二次图正则嵌入近端前向-后向分裂优化框架,结合三个轻量级CNN模块。在LoDoPaB-CT基准测试中,Deep GLR实现30.70 dB PSNR,较滤波反投影提升6.33 dB,仅使用91,848参数,训练样本仅1000张(标准训练集的2.8%)。相比基准方法,参数效率提升5.8倍,每dB性能提升的数据效率达30倍。学习到的图带宽参数ε=1.25收敛至可解释值,表明模型捕捉到有意义的图像先验而非过拟合。尽管仍存在13 dB与顶尖方法的差距,结果证明图正则化在资源受限的医学成像中提供了良好的效率-质量平衡。
原文摘要 · Abstract (English)
Low-dose computed tomography (LDCT) reconstruction faces a critical tradeoff between reconstruction quality and resource requirements. While recent deep learning methods achieve state-of-the-art performance, they typically rely on over 500,000 parameters trained on large-scale datasets exceeding 35,000 scans. This work investigates whether graph-based regularization can provide meaningful noise reduction under strict resource constraints. We propose Deep Graph Laplacian Regularization (Deep GLR), integrating quadratic graph regularization into a Proximal Forward-Backward Splitting optimization framework with three lightweight CNN modules. Evaluated on the LoDoPaB-CT benchmark, Deep GLR achieves 30.70 dB PSNR, representing a 6.33 dB improvement over filtered backprojection, while using only 91,848 parameters trained on 1000 samples (2.8\% of standard training set). Compared to benchmark methods, this represents 5.8 times better parameter efficiency and 30 times better data efficiency per dB improvement. The learned graph bandwidth parameter ($ε$=1.25) converges to interpretable values, suggesting the method captures meaningful image priors rather than overfitting. While a 13 dB gap remains versus state-of-the-art methods, results demonstrate that graph-based regularization provides a favorable efficiency-quality tradeoff for resource-constrained medical imaging scenarios.
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