[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()

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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

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

Keywords:

color image denoising;  Gaussian noise;  impulse noise;  mixed noise;  quaternion

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).

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]

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