论文标题
双域中的通用生成模型用于动态MR成像
Universal Generative Modeling in Dual-domain for Dynamic MR Imaging
论文作者
论文摘要
不完整的K空间数据的动态磁共振图像重建,由于其减少扫描时间的能力,引起了极大的研究兴趣。但是,由于其性质不足,重建问题仍然具有挑战性。最近,扩散模型尤其是基于得分的生成模型在算法鲁棒性和用法柔性易变性方面具有巨大的潜力。此外,提出了通过方差爆炸随机微分方程(VE-SDE)的统一框架来启用新的采样方法,并进一步扩展了基于得分的生成模型的功能。因此,通过利用统一的框架,我们提出了K空间和图像DU-AL域协作通用生成模型(DD-UGM),该模型(DD-UGM)将基于得分的先验与低排名正则惩罚相结合以重建高度不足的测量值。更确切地说,我们通过通用生成模型从图像和K空间域中提取先前的成分,并适应这些先前的组件,以更快地处理,同时保持良好的生成质量。实验比较证明了该方法的降噪和细节保存能力。除此之外,DD-ugm只能通过训练单个帧图像来重建不同框架的数据,从而反映了所提出的模型的灵活性。
Dynamic magnetic resonance image reconstruction from incomplete k-space data has generated great research interest due to its capability to reduce scan time. Never-theless, the reconstruction problem is still challenging due to its ill-posed nature. Recently, diffusion models espe-cially score-based generative models have exhibited great potential in algorithm robustness and usage flexi-bility. Moreover, the unified framework through the variance exploding stochastic differential equation (VE-SDE) is proposed to enable new sampling methods and further extend the capabilities of score-based gener-ative models. Therefore, by taking advantage of the uni-fied framework, we proposed a k-space and image Du-al-Domain collaborative Universal Generative Model (DD-UGM) which combines the score-based prior with low-rank regularization penalty to reconstruct highly under-sampled measurements. More precisely, we extract prior components from both image and k-space domains via a universal generative model and adaptively handle these prior components for faster processing while maintaining good generation quality. Experimental comparisons demonstrated the noise reduction and detail preservation abilities of the proposed method. Much more than that, DD-UGM can reconstruct data of differ-ent frames by only training a single frame image, which reflects the flexibility of the proposed model.