arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2008.06284eess.IVcs.CV
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MR图像重建生成密度先验的同伦矩阵

Homotopic Gradients of Generative Density Priors for MR Image Reconstruction

Nanchang University(南昌大学)

Cong Quan, Jinjie Zhou, Yuanzheng Zhu, Yang Chen, Shanshan Wang, Dong Liang, Qiegen Liu

摘要:

最近,深度学习,特别是生成模型,已经证明了在减少测量的情况下显著加速图像重建的巨大潜力。不同于现有的生成模型通常对密度先验进行优化,本文利用去噪分数匹配,提出了一种基于同伦梯度的生成密度先验(HGGDP)模型,用于磁共振成像(MRI)重建。更准确地说,为了解决生成密度先验中的低维流形和低数据密度区域问题,我们在高维空间中估计目标梯度。我们训练一个更强大的噪声条件得分网络,形成高维张量作为网络的输入在训练阶段。更多的人工噪声也被注入嵌入空间。在重建阶段,同伦方法被用来追求密度先验,如提高重建性能。实验结果表明,HGGDP在高重建精度方面表现出色,仅10%的k空间数据仍然可以像标准MRI重建一样有效地生成高质量的图像。

英文摘要:

Deep learning, particularly the generative model, has demonstrated tremendous potential to significantly speed up image reconstruction with reduced measurements recently. Rather than the existing generative models that often optimize the density priors, in this work, by taking advantage of the denoising score matching, homotopic gradients of generative density priors (HGGDP) are proposed for magnetic resonance imaging (MRI) reconstruction. More precisely, to tackle the low-dimensional manifold and low data density region issues in generative density prior, we estimate the target gradients in higher-dimensional space. We train a more powerful noise conditional score network by forming high-dimensional tensor as the network input at the training phase. More artificial noise is also injected in the embedding space. At the reconstruction stage, a homotopy method is employed to pursue the density prior, such as to boost the reconstruction performance. Experiment results imply the remarkable performance of HGGDP in terms of high reconstruction accuracy; only 10% of the k-space data can still generate images of high quality as effectively as standard MRI reconstruction with the fully sampled data.

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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