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arXiv 2101.07424eess.IVmath.OC
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基于深度先验和低阶张量表示的压缩谱图像重建

Compressive Spectral Image Reconstruction using Deep Prior and Low-Rank Tensor Representation

Jorge Bacca, Yesid Fonseca, Henry Arguello

摘要:

压缩光谱成像(CSI)已经成为一种替代的光谱图像采集技术,它减少了测量的数量,需要恢复过程的成本。一般来说,重建方法是基于手工制作的先验,用作优化算法中的正则化器,或最近的深度神经网络用作图像生成器,以学习从低维压缩测量到图像空间的非线性映射。然而,这些数据驱动的方法需要许多光谱图像,以获得良好的性能。在这项工作中,提出了一个没有训练数据的CSI深度恢复框架。所提出的方法基于以下事实:一些深度神经网络的结构和适当的低维结构足以施加来自CSI的底层光谱图像的结构。我们通过Tucker表示分析了低维结构,在第一个网络层建模。该方案通过最小化压缩测量和预测测量之间的$\ell_2$范数距离来获得,并且在前向算子之前形成期望的恢复光谱图像。仿真和实验结果验证了该方法的有效性。

英文摘要:

Compressive spectral imaging (CSI) has emerged as an alternative spectral image acquisition technology, which reduces the number of measurements at the cost of requiring a recovery process. In general, the reconstruction methods are based on hand-crafted priors used as regularizers in optimization algorithms or recent deep neural networks employed as an image generator to learn a non-linear mapping from the low-dimensional compressed measurements to the image space. However, these data-driven methods need many spectral images to obtain good performance. In this work, a deep recovery framework for CSI without training data is presented. The proposed method is based on the fact that the structure of some deep neural networks and an appropriated low-dimensional structure are sufficient to impose a structure of the underlying spectral image from CSI. We analyzed the low-dimension structure via the Tucker representation, modeled in the first net layer. The proposed scheme is obtained by minimizing the $\ell_2$-norm distance between the compressive measurements and the predicted measurements, and the desired recovered spectral image is formed just before the forward operator. Simulated and experimental results verify the effectiveness of the proposed method.

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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