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An Iterative Method for Tensor Inpainting Based on Higher-Order Singular Value Decomposition

机译:基于高阶奇异值分解的张量修复迭代方法

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摘要

We consider the problem of tensor (i.e., multidimensional array) inpainting in this paper. By using higher-order singular value decomposition, we propose an iterative algorithm that performs soft thresholding on entries of the core tensor and then reconstructs via the directional orthogonal matrices. An inpainted tensor is obtained at the end of the iteration. Simulations conducted over color images, video frames, and MR images validate that the proposed algorithm is competitive with state-of-the-art completion algorithms. The evaluation is made in terms of quality metrics and visual comparison.
机译:我们考虑了本文中的张量(即多维数组)修复问题。通过使用高阶奇异值分解,我们提出了一种迭代算法,该算法对核心张量的项执行软阈值处理,然后通过方向正交矩阵进行重构。在迭代结束时获得修复的张量。在彩色图像,视频帧和MR图像上进行的仿真验证了该算法与最新的完成算法具有竞争力。根据质量指标和视觉比较进行评估。

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