Spatially adapted total variation model with nonconvex regularizer based speckle reduction

Li Jin-Cai; Peng Yu-Xing; Zhu Min; Chen Peng

doi:10.7498/aps.63.189501

Abstract

Total variation is a hot point of research on speckle reduction. The nonconvex regularizer can better preserve or even enhance the information about the edges of an image. Spatially adaptive regularization parameters can reasonably control the level of speckle reduction according to the region in which the pixels are, and improve the speckle reduction effect. In this paper, we present a new total variation model for speckle reduction by integrating nonconvex regularizer and spatially adaptive regularization parameters. In order to solve the model, a new algorithm is designed based on Newton's method, augmented Lagrange multiplier, alternating direction method of multipliers, and iteratively reweighted method. The numerical examples demonstrate that the proposed model can obtain the better speckle reduction effect.

Keywords:

nonconvex regularizer /
total variation /
speckle reduction /
spatially adaptive regularization parameters

Authors and contacts

1.
School of Computer Science, National University of Defense Technology, Changsha 410073, China;
2.
Department of Information Engineering, Zhoukou Vocational and Technical College, Zhoukou 466000, China
Funds: Project supported by the National Basic Research Program of China (Grant No. 2014CB340303) and the National High Technology Research and Development Program of China (Grant No. 2013AA01A213).

References

[1]	Wu Y L, Wu Z S 2014 Chin. Phys. B 23 037801
[2]	Basak K, Manjunatha M, Dutta P K 2012 Med. Biol. Eng. Comput. 50 547
[3]	Ji W J, Tong C M 2013 Chin. Phys. B 22 020301
[4]	Ma C, Gu H, Su W M, Li C Z 2014 Acta Phys. Sin. 63 028403(in Chinese)[马超, 顾红, 苏卫民, 李传中 2014 63 028403]
[5]	Argenti F, Lapini A, Bianchi T, Alparone L 2013 IEEE Geosci. Remote Sens. Magaz. 1 6
[6]	Abbott J G, Thurstone F L 1979 Ultrasonic Imaging 1 303
[7]	Chen S, Zhao H C, Zhang S N, Chen Y 2013 Acta Phys. Sin. 62 218405(in Chinese)[陈思, 赵慧昌, 张淑宁, 陈勇 2013 62 218405]
[8]	Jiang Z H, Huang S X, You X B, Xiao Y G 2014 Chin. Phys. B 23 050302
[9]	Jiang Z H, Huang S X, Shi H Q, Zhang W, Wang B 2011 Acta Phys. Sin. 60 108402(in Chinese)[姜祝辉, 黄思训, 石汉青, 张伟, 王彪 2011 60 108402]
[10]	Lee J S 1980 IEEE Trans. Pattern Anal. Mach. Intell. PAMI-2 165
[11]	Frost V S, Stiles J A, Shanmugan K S, Holtzman J C 1982 IEEE Trans. Pattern Anal. Mach. Intell. PAMI-4 157
[12]	Kuan D T, Sawchuk A A, Strand T C, Chavel P 1985 IEEE Trans. Pattern Anal. Mach. Intell. PAMI-7 165
[13]	Sun Z G, Han C Z 2010 Acta Phys. Sin. 59 3210(in Chinese)[孙增国, 韩崇昭 2010 59 3210]
[14]	Donoho D L 1995 IEEE Trans. Inform. Theory 41 613
[15]	Sveinsson J R, Benediktsson J A 2003 IEEE Trans. Geosci. Remote Sens. 41 2404
[16]	Perona P, Malik J 1990 IEEE Trans. Pattern Anal. Mach. Intell. 12 629
[17]	Yu Y J, Acton S T 2002 IEEE Trans. Image Process. 11 1260
[18]	Aja-Fernández S, Alberola-López C 2006 IEEE Trans. Image Process. 15 2694
[19]	Liu G J, Zeng X P, Tian F C, Li Z Z, Chaibou K 2009 Signal Process. 89 2233
[20]	Rudin, L, Lions P L, Ohser S 2003 Geometric Level Set Methods in Imaging, Vision, and Graphics (New York: Springer) pp103-119
[21]	Aubert G, Aujol J F 2008 SIAM J Appl. Math. 68 925
[22]	Shi J, Osher S 2008 SIAM J. Imaging Sci. 1 294
[23]	Bioucas-Dias J M, Figueiredo M A T 2009 IEEE Int. Conf. Image Processing Cairo, Egypt, November 7-10 2009 p3717
[24]	Bioucas-Dias J M, Figueiredo M A T 2010 IEEE Trans. Image Process. 19 1720
[25]	Huang Y M, Ng M K, Wen Y W 2009 SIAM J. Imaging Sci. 2 20
[26]	Steidl G, Teuber T 2010 J. Math Imaging Vis. 36 168
[27]	Yun S, Woo H 2012 IEEE Trans. Image Process. 21 2523
[28]	Woo H, Yun S 2012 IEEE Trans. Image Process. 21 1701
[29]	Han Y, Feng X C, Baciu G, Wang W W 2013 Pattern Recognition 46 989
[30]	Chen D Q, Cheng L Z 2012 IEEE Trans. Image Process. 21 1650
[31]	Wang X D, Feng X C, Huo L G 2012 Acta Automat. Sin. 38 444(in Chinese)[王旭东, 冯象初, 霍雷刚 2012 自动化学报 38 444]
[32]	Chen D Q, Cheng L Z 2014 J. Comput. Appl. Math. 257 29
[33]	Li J C, Ma Z H, Peng Y X, Huang B 2013 Acta Phys. Sin. 62 099501(in Chinese)[李金才, 马自辉, 彭宇行, 黄斌 2013 62 099501]
[34]	Sun Z G 2013 Acta Phys. Sin. 62 180701(in Chinese)[孙增国 2013 62 180701]
[35]	Nikolova M, Ng M K, Tam C P 2010 IEEE Trans. Image Process. 19 3073
[36]	Kreutz-Delgado K, Murray J F, Rao B D, Engan K, Ng M K, Zhang W K 2003 Neural Comput. 15 349
[37]	Aubert G, Blanc-Féraud L, March R 2004 SIAM J. Numer. Anal. 42 1128
[38]	Nikolova M, Ng M K, Zhang S, Ching W K 2008 SIAM J. Imaging Sci. 1 2
[39]	Han Y, Wang W W, Feng X C 2012 Pattern Recognition 45 363
[40]	Louchet C, Moisan L 2011 SIAM J. Imaging Sci. 4 651
[41]	Shen J H, Jung Y M 2006 Appl. Math. Opt. 53 331
[42]	Xiao L, Huang Z, Wei Z 2010 EURASIP J. Adv. Signal Process. 2010 490384
[43]	Afonso M, Bioucas-Dias J, Figueiredo M 2010 IEEE Trans. Image Process. 19 2345
[44]	Chambolle A 2004 J. Math. Imaging Vis. 20 89
[45]	Wang Z https://ece.uwaterloo.ca/～ z70wang/research/ssim/[May 15 2012]
[46]	Wang Z, Bovik A C, Sheikh H R, Simoncelli E P 2004 IEEE Trans. Image Process. 13 600
[47]	Zhang H, Wang C, Zhang B, Wu F, Yan D M 2009 High-Resolution SAR Image Target Recognition (Beijing: Science Press) pp43-44 (in Chinese)[张红, 王超, 张波, 吴樊, 闫冬梅 2009 高分辨率SAR图像目标识别 (北京: 科学出版社) 第43-44页]

Cited By

[1]	Wu Y L, Wu Z S 2014 Chin. Phys. B 23 037801
[2]	Basak K, Manjunatha M, Dutta P K 2012 Med. Biol. Eng. Comput. 50 547
[3]	Ji W J, Tong C M 2013 Chin. Phys. B 22 020301
[4]	Ma C, Gu H, Su W M, Li C Z 2014 Acta Phys. Sin. 63 028403(in Chinese)[马超, 顾红, 苏卫民, 李传中 2014 63 028403]
[5]	Argenti F, Lapini A, Bianchi T, Alparone L 2013 IEEE Geosci. Remote Sens. Magaz. 1 6
[6]	Abbott J G, Thurstone F L 1979 Ultrasonic Imaging 1 303
[7]	Chen S, Zhao H C, Zhang S N, Chen Y 2013 Acta Phys. Sin. 62 218405(in Chinese)[陈思, 赵慧昌, 张淑宁, 陈勇 2013 62 218405]
[8]	Jiang Z H, Huang S X, You X B, Xiao Y G 2014 Chin. Phys. B 23 050302
[9]	Jiang Z H, Huang S X, Shi H Q, Zhang W, Wang B 2011 Acta Phys. Sin. 60 108402(in Chinese)[姜祝辉, 黄思训, 石汉青, 张伟, 王彪 2011 60 108402]
[10]	Lee J S 1980 IEEE Trans. Pattern Anal. Mach. Intell. PAMI-2 165
[11]	Frost V S, Stiles J A, Shanmugan K S, Holtzman J C 1982 IEEE Trans. Pattern Anal. Mach. Intell. PAMI-4 157
[12]	Kuan D T, Sawchuk A A, Strand T C, Chavel P 1985 IEEE Trans. Pattern Anal. Mach. Intell. PAMI-7 165
[13]	Sun Z G, Han C Z 2010 Acta Phys. Sin. 59 3210(in Chinese)[孙增国, 韩崇昭 2010 59 3210]
[14]	Donoho D L 1995 IEEE Trans. Inform. Theory 41 613
[15]	Sveinsson J R, Benediktsson J A 2003 IEEE Trans. Geosci. Remote Sens. 41 2404
[16]	Perona P, Malik J 1990 IEEE Trans. Pattern Anal. Mach. Intell. 12 629
[17]	Yu Y J, Acton S T 2002 IEEE Trans. Image Process. 11 1260
[18]	Aja-Fernández S, Alberola-López C 2006 IEEE Trans. Image Process. 15 2694
[19]	Liu G J, Zeng X P, Tian F C, Li Z Z, Chaibou K 2009 Signal Process. 89 2233
[20]	Rudin, L, Lions P L, Ohser S 2003 Geometric Level Set Methods in Imaging, Vision, and Graphics (New York: Springer) pp103-119
[21]	Aubert G, Aujol J F 2008 SIAM J Appl. Math. 68 925
[22]	Shi J, Osher S 2008 SIAM J. Imaging Sci. 1 294
[23]	Bioucas-Dias J M, Figueiredo M A T 2009 IEEE Int. Conf. Image Processing Cairo, Egypt, November 7-10 2009 p3717
[24]	Bioucas-Dias J M, Figueiredo M A T 2010 IEEE Trans. Image Process. 19 1720
[25]	Huang Y M, Ng M K, Wen Y W 2009 SIAM J. Imaging Sci. 2 20
[26]	Steidl G, Teuber T 2010 J. Math Imaging Vis. 36 168
[27]	Yun S, Woo H 2012 IEEE Trans. Image Process. 21 2523
[28]	Woo H, Yun S 2012 IEEE Trans. Image Process. 21 1701
[29]	Han Y, Feng X C, Baciu G, Wang W W 2013 Pattern Recognition 46 989
[30]	Chen D Q, Cheng L Z 2012 IEEE Trans. Image Process. 21 1650
[31]	Wang X D, Feng X C, Huo L G 2012 Acta Automat. Sin. 38 444(in Chinese)[王旭东, 冯象初, 霍雷刚 2012 自动化学报 38 444]
[32]	Chen D Q, Cheng L Z 2014 J. Comput. Appl. Math. 257 29
[33]	Li J C, Ma Z H, Peng Y X, Huang B 2013 Acta Phys. Sin. 62 099501(in Chinese)[李金才, 马自辉, 彭宇行, 黄斌 2013 62 099501]
[34]	Sun Z G 2013 Acta Phys. Sin. 62 180701(in Chinese)[孙增国 2013 62 180701]
[35]	Nikolova M, Ng M K, Tam C P 2010 IEEE Trans. Image Process. 19 3073
[36]	Kreutz-Delgado K, Murray J F, Rao B D, Engan K, Ng M K, Zhang W K 2003 Neural Comput. 15 349
[37]	Aubert G, Blanc-Féraud L, March R 2004 SIAM J. Numer. Anal. 42 1128
[38]	Nikolova M, Ng M K, Zhang S, Ching W K 2008 SIAM J. Imaging Sci. 1 2
[39]	Han Y, Wang W W, Feng X C 2012 Pattern Recognition 45 363
[40]	Louchet C, Moisan L 2011 SIAM J. Imaging Sci. 4 651
[41]	Shen J H, Jung Y M 2006 Appl. Math. Opt. 53 331
[42]	Xiao L, Huang Z, Wei Z 2010 EURASIP J. Adv. Signal Process. 2010 490384
[43]	Afonso M, Bioucas-Dias J, Figueiredo M 2010 IEEE Trans. Image Process. 19 2345
[44]	Chambolle A 2004 J. Math. Imaging Vis. 20 89
[45]	Wang Z https://ece.uwaterloo.ca/～ z70wang/research/ssim/[May 15 2012]
[46]	Wang Z, Bovik A C, Sheikh H R, Simoncelli E P 2004 IEEE Trans. Image Process. 13 600
[47]	Zhang H, Wang C, Zhang B, Wu F, Yan D M 2009 High-Resolution SAR Image Target Recognition (Beijing: Science Press) pp43-44 (in Chinese)[张红, 王超, 张波, 吴樊, 闫冬梅 2009 高分辨率SAR图像目标识别 (北京: 科学出版社) 第43-44页]

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Vol. 63, Issue 18 - 2014-09-20

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