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An anisotropic diffusion filtering method is proposed to reduce multiplicative speckle noise in synthetic aperture radar images. A new anisotropic diffusion equation, which can effectively smooth speckles near the edges and reduce blocking artifacts in homogeneous regions, is established by embedding the mean curvature motion controlled by an adaptive coupling function into a traditional speckle reducing anisotropic diffusion equation. Moreover, a new direction-constrained diffusion function formed by combining the local directional ratios with the improved Frost filtering is introduced into the new anisotropic diffusion equation, so that it can further reduce blocking artifacts and obviously improve the edge distortion problem in the despeckled synthetic aperture radar images. Experimental results show that the proposed method can obviously reduce blocking artifacts, sufficiently smooth speckle noise in homogeneous regions and near the edges while preserving edges, and effectively improve the edge distortion problem. Visual quality and performance indexes of the despeckled images show that the proposed method outperforms several despeckling methods.
[1] Wang C, Mao Y X, Tang Z, Fang C, Yu Y J, Qi B 2011 Chin. Phys. B 20 332
[2] [3] Yuan Y, Yang S H 2012 Chin. Phys. B 21 287
[4] [5] Ji W J, Tong C M 2013 Chin. Phys. B 22 68
[6] Lee J S 1980 IEEE Trans. Pattern Anal. Mach. Intell. PAMI-2 165
[7] [8] Kuan D T, Sawchuk A A, Strand T C, Chavel P 1985 IEEE Trans. Pattern Anal. Mach. Intell. PAMI- 7 165
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[14] Sun Z G, Han C Z 2010 Acta Phys. Sin. 59 3210 (in Chinese)[孙增国, 韩崇昭 2010 59 3210]
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[26] [27] Achim A, Tsakalides P, Bezerianos A 2003 IEEE Trans. Geosci. Remote Sensing 41 1773
[28] [29] Argenti F, Bianchi T, Alparone L 2006 IEEE Trans. Image Process 15 3385
[30] Bhuiyanr M, Ahmad M, Swamy M 2007 IEEE Trans. Geosci. Remote Sensing 17 500
[31] [32] [33] Bianchi T, Argenti F, Alparone L 2008 IEEE Trans. Geosci. Remote Sensing 46 2728
[34] [35] Argenti F, Bianchi T, Lapini A, Alparone L 2012 IEEE Geosci. Remote Sensing Lett. 9 13
[36] Chang X, Jiao L C, Liu F, Sha Y H 2010 Acta Electron. Sin. 38 1 (in Chinese)[常霞, 焦李成, 刘芳, 沙宇恒 2010 电子学报 38 1]
[37] [38] Jia J, Chen L 2011 J. Electron. Inf. Tech. 33 1088 (in Chinese)[贾建, 陈莉 2011 电子与信息学报 33 1088]
[39] [40] [41] Yu Y J, Acton S T 2002 IEEE Trans. Image Process. 11 1260
[42] [43] Aja-Fernandez S, Alberola-Lopez C 2006 IEEE Trans. Image Process 15 2694
[44] [45] Krissian K, Westin C F, Kikinis R, Vosburgh K G 2007 IEEE Trans. Image Process 16 1412
[46] [47] Wei H J, Xie H Y, Zhu J B 2005 Syst. Eng. Electr. 2005 27 619 (in Chinese)[韦海军, 谢华英, 朱炬波 2005 系统工程与电子技术 27 619]
[48] Liu G J, Zeng X P, Tian F C, Li Z Z, Chaibou K 2009 Signal Process 89 2233
[49] [50] Yu J H, Tan J L, Wang Y Y 2010 Pattern Recogn. 43 3083
[51] [52] [53] Zhang Q, Shen M F, Chang C Q 2011 Syst. Eng. Electr. 33 1420 (in Chinese)[张琼, 沈民奋, 常春起 2011 系统工程与电子技术 33 1420]
[54] [55] Li J C, Ma Z H, Peng Y H, Huang B 2013 Acta Phys. Sin. 62 099501 (in Chinese)[李金才, 马自辉, 彭宇行, 黄斌 2013 62 099501]
[56] Perona P, Malik J 1990 IEEE Trans. Pattern Anal. Mach. Intell. 12 629
[57] [58] Alvarez L, Lions P L, Morel J M 1992 SIAM J. Numer. Anal. 29 845
[59] [60] [61] Jesper S, Henning S Allan A 2003 IEEE Trans. Geosci. Remote Sensing 41 20
[62] Canny J 1986 IEEE Trans. Pattern Anal. Mach. Intell. PAMI-8 679
[63] -
[1] Wang C, Mao Y X, Tang Z, Fang C, Yu Y J, Qi B 2011 Chin. Phys. B 20 332
[2] [3] Yuan Y, Yang S H 2012 Chin. Phys. B 21 287
[4] [5] Ji W J, Tong C M 2013 Chin. Phys. B 22 68
[6] Lee J S 1980 IEEE Trans. Pattern Anal. Mach. Intell. PAMI-2 165
[7] [8] Kuan D T, Sawchuk A A, Strand T C, Chavel P 1985 IEEE Trans. Pattern Anal. Mach. Intell. PAMI- 7 165
[9] [10] [11] Frost V S, Stiles J A, Shanmugan K S, Holtzman J C 1982 IEEE Trans. Pattern Anal. Mach. Intell. PAMI-4 157
[12] [13] Touzi R 2002 IEEE Trans. Geosci. Remote Sensing 40 2392
[14] Sun Z G, Han C Z 2010 Acta Phys. Sin. 59 3210 (in Chinese)[孙增国, 韩崇昭 2010 59 3210]
[15] [16] Zhu L, Shui P L, Zhang W C 2012 J. Xi'an Jiaotong Univ. 46 83 (in Chinese)[朱磊, 水鹏朗, 章为川 2012 西安交通大学学报 46 83]
[17] [18] Li J C, Huang S X, Peng Y H, Zhang W M 2012 Acta Phys. Sin. 61 119501 (in Chinese)[李金才, 黄思训, 彭宇行, 张卫民 2012 61 119501]
[19] [20] Li J C, Huang B, Peng Y H 2012 Acta Phys. Sin. 61 189501 (in Chinese)[李金才, 黄斌, 彭宇行 2012 61 189501]
[21] [22] [23] Zhu L, Shui P L, Zhang W C 2014 J. Electron. Inf. Tech. 36 220 (in Chinese)[朱磊, 水鹏朗, 章为川 2014 电子与信息学报 36 220]
[24] [25] Xie H, Pierce L E, Ulaby F T 2002 IEEE Trans. Geosci. Remote Sensing 40 2196
[26] [27] Achim A, Tsakalides P, Bezerianos A 2003 IEEE Trans. Geosci. Remote Sensing 41 1773
[28] [29] Argenti F, Bianchi T, Alparone L 2006 IEEE Trans. Image Process 15 3385
[30] Bhuiyanr M, Ahmad M, Swamy M 2007 IEEE Trans. Geosci. Remote Sensing 17 500
[31] [32] [33] Bianchi T, Argenti F, Alparone L 2008 IEEE Trans. Geosci. Remote Sensing 46 2728
[34] [35] Argenti F, Bianchi T, Lapini A, Alparone L 2012 IEEE Geosci. Remote Sensing Lett. 9 13
[36] Chang X, Jiao L C, Liu F, Sha Y H 2010 Acta Electron. Sin. 38 1 (in Chinese)[常霞, 焦李成, 刘芳, 沙宇恒 2010 电子学报 38 1]
[37] [38] Jia J, Chen L 2011 J. Electron. Inf. Tech. 33 1088 (in Chinese)[贾建, 陈莉 2011 电子与信息学报 33 1088]
[39] [40] [41] Yu Y J, Acton S T 2002 IEEE Trans. Image Process. 11 1260
[42] [43] Aja-Fernandez S, Alberola-Lopez C 2006 IEEE Trans. Image Process 15 2694
[44] [45] Krissian K, Westin C F, Kikinis R, Vosburgh K G 2007 IEEE Trans. Image Process 16 1412
[46] [47] Wei H J, Xie H Y, Zhu J B 2005 Syst. Eng. Electr. 2005 27 619 (in Chinese)[韦海军, 谢华英, 朱炬波 2005 系统工程与电子技术 27 619]
[48] Liu G J, Zeng X P, Tian F C, Li Z Z, Chaibou K 2009 Signal Process 89 2233
[49] [50] Yu J H, Tan J L, Wang Y Y 2010 Pattern Recogn. 43 3083
[51] [52] [53] Zhang Q, Shen M F, Chang C Q 2011 Syst. Eng. Electr. 33 1420 (in Chinese)[张琼, 沈民奋, 常春起 2011 系统工程与电子技术 33 1420]
[54] [55] Li J C, Ma Z H, Peng Y H, Huang B 2013 Acta Phys. Sin. 62 099501 (in Chinese)[李金才, 马自辉, 彭宇行, 黄斌 2013 62 099501]
[56] Perona P, Malik J 1990 IEEE Trans. Pattern Anal. Mach. Intell. 12 629
[57] [58] Alvarez L, Lions P L, Morel J M 1992 SIAM J. Numer. Anal. 29 845
[59] [60] [61] Jesper S, Henning S Allan A 2003 IEEE Trans. Geosci. Remote Sensing 41 20
[62] Canny J 1986 IEEE Trans. Pattern Anal. Mach. Intell. PAMI-8 679
[63]
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