Volume 5 Issue 3
Jun.  2012
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LIU Xi-jia, CHEN Yu, WANG Wen-sheng, LIU Zhu. De-noising algorithm of wavelet threshold for small target detection[J]. Chinese Optics, 2012, 5(3): 248-256. doi: 10.3788/CO.20120503.0248
Citation: LIU Xi-jia, CHEN Yu, WANG Wen-sheng, LIU Zhu. De-noising algorithm of wavelet threshold for small target detection[J]. Chinese Optics, 2012, 5(3): 248-256. doi: 10.3788/CO.20120503.0248

De-noising algorithm of wavelet threshold for small target detection

doi: 10.3788/CO.20120503.0248
  • Received Date: 21 Jan 2012
  • Rev Recd Date: 13 Mar 2012
  • Publish Date: 10 Jun 2012
  • In order to obtain better de-noising effects and higher Signal-to-noise Ratios(SNRs) for recognizing small targets, the local variance estimation method is adopted to calculate the threshold. Different thresholds are selected for all the high-frequency sub-bands in wavelet decomposition levels. The improved hyperbolic function is used as the threshold function for wavelet coefficients more than the thresholds and exponential and logarithmic functions are combined as the threshold function for wavelet coefficients less than the thresholds. The adopted threshold function is derived theoretically and compared experimentally with those of soft and hard threshold methods. Computer simulation results show that the SNR is improved by 70.8% with the threshold method adopted in this paper, while they are improved by 49.8% and 59.7% respectively by using soft and hard threshold methods. By optical experiments, it is further proved that the method can improve SNRs and enhance the recognition ability of small targets with Joint Transform Correlator(JTC) more effectively.

     

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  • [1] 陈宇,王文生,苗华,等. 灰度变换在光学相关探测与识别中的应用[J]. 仪器仪表学报 ,2005,26(8):676-677. CHEN Y,WANG W SH,MIAO H,et al.. Application of gray-scale transformation in optical correlation detection and recognition[J]. Chinese J. Scientific Instrument,2005,26(8):676-677.(in Chinese) [2] 李祥兵,肖合林. 基于Matlab的小波阈值折中去噪算法研究[J]. 电脑开发与应用 ,2009,22(6):428-430. LI X B, XIAO H L. Research on wavelet threshold compromise denoising method based on matlab[J]. Computer Development Appl.,2009,22(6):428-430.(in Chinese) [3] 李树玉. 改进的小波阈值去噪方法及其在MATLAB中的仿真[J]. 噪声与振动控制 ,2010(2):121-124. LI SH Y. Improved wavelet threshold denoising method and its simulation using MATLAB[J]. Noise and Vibration Control,2010(2):121-124.(in Chinese) [4] 孙俊喜,陈亚珠. 一种具有边缘保持特性的超声图像小波域阈值去噪新方法[J]. 光学 精密工程 ,2002,10(5):429-433. SUN J X, CHEN Y ZH. Novel speckle reduction for medical ultrasound images based on edge preservation[J]. Opt. Precision Eng.,2002,10(5):429-433. [5] 苑津莎,张东雪,李中. 基于改进阈值法的小波去噪算法研究[J]. 华北电力大学学报 ,2010,37(5):92-96. YUAN J SH,ZHANG D X,LI ZH. Wavelet denoising algorithm based on improved thresholding method[J]. J. North China Electric Power University,2010,37(5):92-96.(in Chinese) [6] 邓义君,严高师. 一种基于小波变换的红外小目标去噪算法[J]. 强激光与粒子束 ,2007,19(3):399-402. DENG Y J,YANG G SH. De-noising algorithm of infrared small target based on wavelet transforms[J]. High Power Laser and Particle Beams,2007,19(3):399-402.(in Chinese) [7] 王佐成,刘晓冬,薛丽霞. 双曲线函数在灰度图像小波阈值去噪中的应用[J]. 计算机工程与应用 ,2010,46(35):177-179. WANG Z CH,LIU X D,XUE L X. Application of hyperbolic function in gray image wavelet threshold denoising method[J]. Computer Eng. Appl.,2010,46(35):177-179.(in Chinese) [8] 蒋晓玲,高尚兵,曾山佰. 一种基于小波变换的图像去噪算法与实现[J]. 电脑知识与技术 ,2008,3(8):1768-1769,1775. JIANG X L,GAO SH B,ZENG SH B. One image denoising algorithm and its implementaion based on wavelet transform[J]. Computer Knowledge Technology,2008,3(8):1767-1768,1775.(in Chinese) [9] 张维强,宋国乡. 基于一种新的阈值函数的小波域信号去噪[J]. 西安电子科技大学学报(自然科学版) ,2004,31(2): 296-303. ZHANG W Q,SONG G X. Signal de-noising in wavelet domain based on a new kind of thresholding function[J]. J. Xidian University(Natural Science Edition),2004,31(2):296-303.(in Chinese) [10] 刘伟宁. 基于小波域扩散滤波的弱小目标检测[J]. 中国光学 ,2011,4(5):503-508. LIU W N. Dim target detection based on wavelet field diffusion filter[J]. Chinese Optics,2011,4(5):503-508.(in Chinese) [11] 董宇星,刘伟宁. 基于灰度特性的海天背景小目标检测[J]. 中国光学与应用光学 ,2010,3(3):252-256. DONG Y X,LIU W N. Detection of sea-sky line in compocated background based on grey characteristics[J]. Chinese J. Opt. Appl. Opt.,2010,3(3):252-256.(in Chinese) [12] 唐世伟,林君. 小波变换与中值滤波相结合图像去噪方法[J]. 哈尔滨工业大学学报 ,2008,40(8):1334-1336. TANG SH W, LIN J. Image denoising with combination of wavelet transform and median filtering[J]. J. Harbin Institute Technology,2008,40(2):1334-1336.(in Chinese)
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