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arXiv 2101.12366eess.IV
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用于动态成像的深度生成SToRM模型

Deep Generative SToRM model for dynamic imaging

Qing Zou, Abdul Haseeb Ahmed, Prashant Nagpal, Stanley Kruger, Mathews Jacob

摘要:

我们介绍了一种新的生成光滑正则化流形(SToRM)模型的动态图像数据的恢复高度欠采样测量。所提出的生成框架将图像时间序列表示为捕获心脏和呼吸相位的低维潜在向量的平滑非线性函数。使用深度卷积神经网络(CNN)来表示非线性函数。与流行的CNN方法不同,该方法需要在该设置中不可用的大量完全采样的训练数据,CNN生成器的参数以及潜在向量使用随机梯度下降从欠采样测量联合估计。我们惩罚生成器梯度的范数以鼓励学习光滑表面/流形,而惩罚潜向量的时间梯度以鼓励时间序列光滑。所提出的方案的主要优点是(a)与基于分析的SToRM模型相比,存储器需求的相当显著的减少,以及(b)由CNN模型带来的空间正则化。我们还引入了有效的渐进方法,以尽量减少算法的计算复杂度。

英文摘要:

We introduce a novel generative smoothness regularization on manifolds (SToRM) model for the recovery of dynamic image data from highly undersampled measurements. The proposed generative framework represents the image time series as a smooth non-linear function of low-dimensional latent vectors that capture the cardiac and respiratory phases. The non-linear function is represented using a deep convolutional neural network (CNN). Unlike the popular CNN approaches that require extensive fully-sampled training data that is not available in this setting, the parameters of the CNN generator as well as the latent vectors are jointly estimated from the undersampled measurements using stochastic gradient descent. We penalize the norm of the gradient of the generator to encourage the learning of a smooth surface/manifold, while temporal gradients of the latent vectors are penalized to encourage the time series to be smooth. The main benefits of the proposed scheme are (a) the quite significant reduction in memory demand compared to the analysis based SToRM model, and (b) the spatial regularization brought in by the CNN model. We also introduce efficient progressive approaches to minimize the computational complexity of the algorithm.

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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