Journal
SIGNAL PROCESSING-IMAGE COMMUNICATION
Volume 96, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.image.2021.116308
Keywords
Cartoon-texture; Image decomposition; Low-rank; Convex optimization; Image restoration
Categories
Funding
- National Natural Science Foundation of China [11771113]
- Zhejiang Provincial Natural Science Foundation of China [LY20A010018]
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The paper proposes a cartoon-texture image decomposition model based on low-rank texture prior, which is able to perform perfectly on globally well-patterned images.
The mathematical characterization of the texture component plays an instrumental role in image decomposition. In this paper, we are concerned with a low-rank texture prior based cartoon-texture image decomposition model, which utilizes a total variation norm and a global nuclear norm to characterize the cartoon and texture components, respectively. It is promising that our decomposition model is not only extremely simple, but also works perfectly for globally well-patterned images in the sense that the model can recover cleaner texture (or details) than the other novel models. Moreover, such a model can be easily reformulated as a separable convex optimization problem, thereby enjoying a splitting nature so that we can employ a partially parallel splitting method (PPSM) to solve it efficiently. A series of numerical experiments on image restoration demonstrate that PPSM can recover slightly higher quality images than some existing algorithms in terms of taking less iterations or computing time in many cases.
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