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arXiv 2212.07599eess.IVcs.CV
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动态MR成像的双域通用生成式建模

Universal Generative Modeling in Dual-domain for Dynamic MR Imaging

Nanchang University(南昌大学);Shanghai Jiao Tong University(上海交通大学);Chinese Academy of Sciences(中国科学院)

Chuanming Yu, Yu Guan, Ziwen Ke, Dong Liang, Qiegen Liu

摘要:

基于不完整k空间数据的动态磁共振图像重建由于其能够减少扫描时间而引起了极大的研究兴趣。尽管如此,由于其不适定性,重建问题仍然是一个具有挑战性的问题。近年来,扩散模型特别是基于分数的生成模型在算法鲁棒性和使用灵活性方面显示出巨大的潜力。此外,通过方差爆炸随机微分方程(VE-DEG)的统一框架,提出了新的采样方法,并进一步扩展了基于分数的生成模型的能力。因此,利用统一的框架,我们提出了一种k空间和图像双域协同的通用生成模型(DD-UGM),该模型结合了基于分数的先验知识和低秩正则化惩罚来重建高度欠采样的测量值。更确切地说,我们通过通用生成模型从图像和k空间域提取先验分量,并自适应地处理这些先验分量,以实现更快的处理,同时保持良好的生成质量。实验结果表明,该方法具有较好的降噪和细节保持能力。不仅如此,DD-UGM模型只需训练一帧图像,就可以重建不同帧的数据,体现了该模型的灵活性。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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