Mural image de-noising based on Shannon-Cosine wavelet precise integration method(基于Shannon-Cosine 小波精细积分法的壁画降噪修复方法)

LILi(李丽); GAORuowan(高若婉); MEIShuli(梅树立); ZHAOHaiying(赵海英)

doi:10.3785/j.issn.1008-9497.2019.03.003

Zhejiang Daxue xuebao. Lixue ban (May 2019)

Mural image de-noising based on Shannon-Cosine wavelet precise integration method(基于Shannon-Cosine 小波精细积分法的壁画降噪修复方法)

LILi(李丽),
GAORuowan(高若婉),
MEIShuli(梅树立),
ZHAOHaiying(赵海英)

Affiliations

LILi(李丽): ORCiD; 1.College of Information and Electrical Engineer, China Agricultural University, Beijing 100083, China( 1.中国农业大学信息与电气工程学院，北京 100083)
GAORuowan(高若婉): 1.College of Information and Electrical Engineer, China Agricultural University, Beijing 100083, China( 1.中国农业大学信息与电气工程学院，北京 100083)
MEIShuli(梅树立): 1.College of Information and Electrical Engineer, China Agricultural University, Beijing 100083, China( 1.中国农业大学信息与电气工程学院，北京 100083)
ZHAOHaiying(赵海英): ORCiD; 2.Mobile Media and Cultural Computing Key Laboratory of Beijing, Century College, Beijing University of Post & Telecommunication, Beijing 102613, China( 2.北京邮电大学世纪学院，北京 102613)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2019.03.003
Journal volume & issue: Vol. 46, no. 3
pp. 279 – 287

Abstract

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为修复受破损且噪声点众多的壁画图像，提出了用偏微分方程（partial differential equation，PDE）扩散的方法对图像进行降噪修复。针对PDE 法求解精度较低的问题，提出了一种Shannon-Cosine 小波精细积分法，运用小波数值方法对偏微分方程进行离散处理，降低其方程组规模，并采用精细积分法求解，有效提高了计算速度。试验结果表明，采用该算法对受损壁画降噪处理后，视觉上，图像边界更清晰，且噪声点得到有效减少，达到了保边降噪的效果，更符合人眼的视觉效果；客观上，与中值滤波、均值滤波和维纳滤波方法相比，采用本算法处理后的图像其PSNR 值和SSIM 值均最大。因此，运用Shannon-Cosine 小波精细积分法求解图像的PDE 模型是可行的，取得了较好的图像降噪效果。

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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