Anisotropic diffusion;
Perona-Malik;
Total variation;
Restoration;
Denoising;
D O I:
暂无
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摘要:
Noise removal in images denotes an interesting and a relatively challenging problem that has captured the attention of many scholars. Recent denoising methods focus on simultaneously restoring noisy images and recovering their semantic features (edges and contours). But preservation of textures, which facilitate interpretation and analysis of complex images, remains an open-ended research question. Classical methods (Total variation and Perona-Malik) and image denoising approaches based on deep neural networks tend to smudge fine details of images. Results from previous studies show that these methods, in addition, can introduce undesirable artifacts into textured images. To address the challenges, we have proposed an image denoising method based on anisotropic diffusion processes. The divergence term of our method contains a diffusion kernel that depends on the evolving image and its gradient magnitude to ensure effective preservation of edges, contours, and textures. Furthermore, a regularization term has been proposed to denoise images corrupted by multiplicative noise. Empirical results demonstrate that the proposed method generates images with higher perceptual and objective qualities.
机构:
Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
Chen, Mengxin
Zheng, Qianqian
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机构:
Xuchang Univ, Sch Sci, Xuchang 461000, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
机构:
Univ Paris, Sorbonne Univ, INRIA, Lab Jacques Louis Lions,UMR7598, F-75005 Paris, France
Univ Roma Tor Vergata, Dipartimento Matemat, Rome, ItalyUniv Paris, Sorbonne Univ, INRIA, Lab Jacques Louis Lions,UMR7598, F-75005 Paris, France
机构:
Northwestern Polytech Univ, Sch Math & Stat, 127 West Youyi Rd, Xian 710072, Shaanxi, Peoples R ChinaNorthwestern Polytech Univ, Sch Math & Stat, 127 West Youyi Rd, Xian 710072, Shaanxi, Peoples R China
Xu, Shuang
Zhang, Jiangshe
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机构:
Xi An Jiao Tong Univ, Sch Math & Stat, 28 West Xianning Rd, Xian 710049, Shaanxi, Peoples R ChinaNorthwestern Polytech Univ, Sch Math & Stat, 127 West Youyi Rd, Xian 710072, Shaanxi, Peoples R China
Zhang, Jiangshe
Wang, Jialin
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h-index: 0
机构:
Xi An Jiao Tong Univ, Sch Energy & Power Engn, 28 West Xianning Rd, Xian 710049, Shaanxi, Peoples R ChinaNorthwestern Polytech Univ, Sch Math & Stat, 127 West Youyi Rd, Xian 710072, Shaanxi, Peoples R China
Wang, Jialin
Sun, Kai
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h-index: 0
机构:
Xi An Jiao Tong Univ, Sch Math & Stat, 28 West Xianning Rd, Xian 710049, Shaanxi, Peoples R ChinaNorthwestern Polytech Univ, Sch Math & Stat, 127 West Youyi Rd, Xian 710072, Shaanxi, Peoples R China
Sun, Kai
Zhang, Chunxia
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h-index: 0
机构:
Xi An Jiao Tong Univ, Sch Math & Stat, 28 West Xianning Rd, Xian 710049, Shaanxi, Peoples R ChinaNorthwestern Polytech Univ, Sch Math & Stat, 127 West Youyi Rd, Xian 710072, Shaanxi, Peoples R China
Zhang, Chunxia
Liu, Junmin
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h-index: 0
机构:
Xi An Jiao Tong Univ, Sch Math & Stat, 28 West Xianning Rd, Xian 710049, Shaanxi, Peoples R ChinaNorthwestern Polytech Univ, Sch Math & Stat, 127 West Youyi Rd, Xian 710072, Shaanxi, Peoples R China
Liu, Junmin
Hu, Junying
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h-index: 0
机构:
Northwest Univ, Sch Math, 1 Xuefu Rd, Xian 710100, Shaanxi, Peoples R ChinaNorthwestern Polytech Univ, Sch Math & Stat, 127 West Youyi Rd, Xian 710072, Shaanxi, Peoples R China