SIAM Journal on Imaging Sciences, Volume 13, Issue 3, Page 1179-1210, January 2020.
Cartoon-texture image decomposition is about decomposing an image into the linear sum of two layers: cartoon and texture, where the key challenge is how to resolve the ambiguity between two layers. It is observed that the recurrence of texture patches occurs along multiple orientations, and the recurrence of cartoon patches only occurs along certain orientations. This paper proposes to separate these two layers by exploiting their orientation characteristics of image patch recurrence, i.e., isotropy property of texture patch recurrence versus anisotropy property of cartoon patch recurrence. Together with the sparsity-based regularizations in the image domain, a variational method is then developed in this paper for cartoon-texture decomposition. The experiments show that the proposed method noticeably outperforms many well-established ones on test images.

中文翻译：

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斑块递归中基于方向特征的卡通纹理图像分解

SIAM影像科学杂志，第13卷，第3期，第1179-1210页，2020年1月。
卡通纹理图像分解是将图像分解为两层的线性总和：卡通和纹理，其中的主要挑战是如何解决两层之间的歧义。可以观察到，纹理补丁的重复发生在多个方向上，而卡通补丁的重复仅发生在某些方向上。本文提出了通过利用图像补丁重复的方向特征来分离这两层，即纹理补丁递归的各向同性特性与卡通补丁递归的各向异性。结合图像域中基于稀疏性的正则化，本文提出了一种变分方法来进行卡通纹理分解。