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[1] Wang Dingcheng, , Tian Yuhang, et al. Mixed noise removal for color imagesusing quaternion representation [J]. Journal of Southeast University (English Edition), 2015, 31 (3): 347-352. [doi:10.3969/j.issn.1003-7985.2015.03.008]
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Mixed noise removal for color imagesusing quaternion representation()
基于四元数表示的彩色图像混合噪声去噪
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
31
Issue:
2015 3
Page:
347-352
Research Field:
Computer Science and Engineering
Publishing date:
2015-09-20

Info

Title:
Mixed noise removal for color imagesusing quaternion representation
基于四元数表示的彩色图像混合噪声去噪
Author(s):
Wang Dingcheng1;  2;  3;  Tian Yuhang2;  Chen Beijing1;  2;  3;  Shu Huazhong4
1Jiangsu Engineering Center of Network Monitoring, Nanjing University of Information Science and Technology, Nanjing 210044, China
2School of Computer and Software, Nanjing University of Information Science and Technology, Nanjing 210044, China
3Jiangsu Collaborative Innovation Center on Atmospheric Environment and Equipment Technology, Nanjing University of Information Science and Technology, Nanjing 210044, China
4Laboratory of Image Science and Technology, Southeast University, Nanjing 210096, China
王定成1;  2;  3;  田宇航2;  陈北京1;  2;  3;  舒华忠4
1南京信息工程大学江苏省网络监控工程中心, 南京 210044; 2南京信息工程大学计算机与软件学院, 南京 210044; 3南京信息工程大学江苏省大气环境与装备技术协同创新中心, 南京 210044; 4东南大学影像科学与技术实验室, 南京 210096
Keywords:
color image denoising;  Gaussian noise;  impulse noise;  mixed noise;  quaternion
彩色图像去噪;  高斯噪声;  脉冲噪声;  混合噪声;  四元数
PACS:
TP391
DOI:
10.3969/j.issn.1003-7985.2015.03.008
Abstract:
In order to effectively restore color noisy images with the mixture of Gaussian noise and impulse noise, a new algorithm is proposed using the quaternion-based holistic processing idea for color images. First, a color image is represented by a pure quaternion matrix. Secondly, according to the different characteristics of the Gaussian noise and the impulse noise, an algorithm based on quaternion directional vector order statistics is used to detect the impulse noise. Finally, the quaternion optimal weights non-local means filter(QOWNLMF)for Gaussian noise removal is improved for the mixed noise removal. The detected impulse noise pixels are not considered in the calculation of weights. Experimental results on five standard images demonstrate that the proposed algorithm performs better than the commonly used robust outlyingness ratio-nonlocal means(ROR-NLM)algorithm and the optimal weights mixed filter(OWMF).
为了能够更加有效地恢复受混合高斯和脉冲噪声污染的彩色图像, 采用基于四元数的彩色图像整体处理方案, 提出了一种彩色图像混合噪声去噪算法.首先, 通过一个纯四元数矩阵表征一幅彩色图像;然后, 根据高斯噪声和脉冲噪声的不同特性, 采用基于四元数方向矢量排序统计的算法检测脉冲噪声位置;最后, 将针对高斯噪声的基于四元数最优权值的非局部均值滤波器进行改进以应用于混合噪声图像去噪, 在权值计算时不考虑已被检测出的脉冲噪声点.对5幅标准图像的实验结果表明, 所提算法的去噪效果优于目前常用的ROR-NLM(robust outlyingness ratio-nonlocal means)算法和最优权值混合滤波器.

References:

[1] Jin L H. Color image filtering and quaternion-based color image processing methods[D]. Wuhan: Institute for Pattern Recognition and Artifical Intelligence, Huazhong University of Science and Technology, 2008.(in Chinese)
[2] Xiong B, Yin Z P. A universal denoising framework with a new impulse detector and nonlocal means[J]. IEEE Transactions on Image Processing, 2012, 21(4): 1663-1675.
[3] Lin C H, Tsai J S, Chiu C T. Switching bilateral filter with a texture/noise detector for universal noise removal[J]. IEEE Transactions on Image Processing, 2010, 19(9): 2307-2320.
[4] Jin Q Y, Grama I, Liu Q S. Optimal weights mixed filter for removing mixture of Gaussian and impulse noises[J/OL]. arXiv preprint, 2012. http://arxiv.org/pdf/1205.3999v1.pdf.
[5] Jin L H, Liu H, Xu X Y, et al. Color impulsive noise removal based on quaternion representation and directional vector order-statistics[J]. Signal Processing, 2011, 91(5): 1249-1261.
[6] Chen B J, Liu Q S, Sun X M, et al. Removing Gaussian noise for colour images by quaternion representation and optimisation of weights in non-local means filter[J]. IET Image Processing, 2014, 8(10): 591-600.
[7] Chen B J, Dai H, Liu Q S, et al. Poisson noise removal for color images using quaternion representation[J]. Journal of Southeast University: Natural Science Edition, 2013, 43(4): 717-723.(in Chinese)
[8] Chen B J, Shu H Z, Coatrieux G, et al. Color image analysis by quaternion-type moments[J]. Journal of Mathematical Imaging and Vision, 2015, 51(1): 124-144.
[9] Jin L H, Liu H, Xu X Y, et al. Quaternion-based color image filtering for impulsive noise suppression[J]. Journal of Electronic Imaging, 2010, 19(4): 043003-01-043003-12.
[10] Jin L H, Li D H. A switching vector median filter based on quaternion rotation[J]. Journal of Image and Graphics, 2007, 12(12): 2089-2095.(in Chinese)

Memo

Memo:
Biography: Wang Dingcheng(1967—), male, doctor, professor, dcwang2005@126.com.
Foundation items: The National Natural Science Foundation of China(No.61572258, 61173141, 61271312, 61232016, 61272421), the Natural Science Foundation of Jiangsu Province(No.BK2012858, BK20151530), the Natural Science Foundation of the Jiangsu Higher Education Institutions of China(No.13KJB520015), Open Fund of Jiangsu Engineering Center of Network Monitoring(No.KJR1404).
Citation: Wang Dingcheng, Tian Yuhang, Chen Beijing, et al. Mixed noise removal for color images using quaternion representation[J].Journal of Southeast University(English Edition), 2015, 31(3):347-352.[doi:10.3969/j.issn.1003-7985.2015.03.008]
Last Update: 2015-09-20