一种改进的自适应局部噪声消除滤波算法
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摘要
指出了美国冈萨雷斯教授(Rafael C.Gonzalez)提出的一个基于自适应局部噪声消除滤波器算法存在的不足,并提出了一种改进的自适应局部噪声消除滤波新算法.通过比较可以发现改进的算法要比原算法的均方误差emse降低了一个数量级,而且各种信噪比SNR、SNRm、PSNR都将比原算法提高了1/4.计算机仿真实验证明了改进的自适应局部噪声消除滤波算法是有效的.
American Professor Rafael C.Gonzalez once mentioned an adaptive filtering algorithm based on local noise removal in his article《Digital Image Processing》.This paper is to point out the defect of this algorithm and put forward a new improved adaptive filtering algorithm.By comparing this two algorithms,you will find the covariance e_(mse) in the new algorithm has been reduced to a lower rank than in the original one,and various signal-to-noise ratios SNR、SNR_m、 PSNR have been raise by one-fourth.This new algorithm has been improved effective by computer simulating experiment and is of certain applicability.
American Professor Rafael C.Gonzalez once mentioned an adaptive filtering algorithm based on local noise removal in his article《Digital Image Processing》.This paper is to point out the defect of this algorithm and put forward a new improved adaptive filtering algorithm.By comparing this two algorithms,you will find the covariance e_(mse) in the new algorithm has been reduced to a lower rank than in the original one,and various signal-to-noise ratios SNR、SNR_m、 PSNR have been raise by one-fourth.This new algorithm has been improved effective by computer simulating experiment and is of certain applicability.
引文
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[14]孔祥玉,魏瑞轩,韩崇昭,马红光.一种稳定的总体最小二乘自适应滤波算法[J].西安交通大学学报,2004,38(8).Kong Xiangyu,Wei Ruixuan,Han Chongzhao,et al.Stable total least mean square adaptive filter algorithm[J].Journal of Xi′anJiaotong University,2004,38(8).
[15]Chen J,Sato Y,Tamura S.Orientation space filtering for multiple orientation line segmentation[J].IEEE Trans Pattern Analysis andMachine Intelligence,2000,22(5):417-429.
[16]曲延锋,徐健,李卫军,等.有效去除图像中脉冲噪声的新型滤波算法[J].计算机辅助设计与图形学学报,2003,15(4):397-401.Qu Yanfeng,Xu Jian,Li Weijun,et al.New effective filtering algorithm for the removal of impulse noise from images[J].Journal ofComputer-aided Design&Computer Graphics,2003,15(4):397-401.
[17]朱虹,李永盛,乐静,等.一种肾切片图像的肾小球边界增强滤波算法[J].中国生物医学工程学报,2003,22(4):370-373.Zhu Hong,Li Yongsheng,Le Jing,et al.A filter algorithm for edge emphasis of glomerulusin the image of kidney tissue slices[J].Chinese Journal of Biomedical Engineering,2003,22(4):370-373.
[18]赵乘麟.一种新的保边缘滤波算法[J].电子与信息学报,2003,25(11):1581-1584.Zhao Chenglin.A new edge-reserve filtering algorithm[J].Journal of Electronics and Information Technology,2003,25(11):1581-1584.
[19]冈萨雷斯(美).数字图象处理(第二版)[M].北京:电子工业出版社,2003.Rafael C.Gonzalez Digital Image Processing[M].Second Edition.Beijing:Publishing House of Electronics Industry,2003.
[2]吴森堂,张水祥,陈海尔.一类结构随机跳变系统的自适应滤波方法[J].北京航空航天大学学报,2002,28(3):287-290.Wu Sentang,Zhang Shuixiang,Chen Haier.Approach for adaptive filter of systems with random changing structure s[J].Journal ofBeijing University of Aeronautics and Astronautics,2002,28(3):287-290.
[3]刘广军,吴晓平,郭晶.一种数值稳定的次优并行Sage自适应滤波器[J].测绘学报,2002,31(4):8-10.Liu Guangjun,Wu Xiaoping,Guo Jing.A numerically stable sub-optimal parallel Sage adaptive filter[J].Acta Geodaetica etCartographica Sinica,2002,31(4):8-10.
[4]魏瑞轩,韩崇昭,张宗麟.鲁棒总体均方最小自适应滤波:算法与分析[J].电子学报,2002,30(7)1023-1026.Wei Ruixuan,Han Chongzhao,Zhang Zonglin,et al.Robust total least mean square adaptive filter:Algorithm and analysis[J].ActaElectronica Sinica,2002,30(7):1023-1026.
[5]高鹰,谢胜利.基于矩阵广义逆递推的自适应滤波算法[J].电子学报,2002,30(7):1032-1034.Gao Ying,Xie Shengli.An adaptive filtering algorithm Based on recursionof generalized inverse matrix[J].Acta Electronica Sinica,2002,30(7):1032-1034.
[6]赵昕,李杰.一类加权全局迭代参数卡尔曼滤波算法[J].计算力学学报,2002,19(4).Zhao Xin,Li Jie.A weighted globaliteration parametric Kalman filter algorithm[J].Chinese Journal of Computational Mechanics,2002,19(4).
[7]景晓军,李剑峰,熊玉庆.静止图像的一种自适应平滑滤波算法[J].通信学报,2002,23(10).Jing Xiaojun,Li Jianfeng,Xiong Yuqing.An adaptive smooth filter algorithms of still images[J].Journal of China Inatitute ofCommunications,2002,23(10).
[8]郭业才,赵俊渭,陈华伟,王峰.基于高阶累积量符号相干累积自适应滤波算法[J].系统仿真学报,2002,14(10).Guo Yecai,Zhao Junwei,Chen Huawei,Wang Feng.An adaptive filtering algorithm of higher-order cumulant-based signed coherentintegration[J].Journal of System Simulation,2002,14(10).
[9]高鹰,谢胜利.一种基于三阶累积量的准则及自适应滤波算法[J].电子与信息学报,2002,24(9).Gao Ying,Xie Shengli.A third-order cumulant-based criterion and adaptive filtering algorithm[J].Journal of Electronics andInformation Technology,2002,24(9).
[10]高为广,何海波.自适应抗差联邦滤波算法[J].测绘学院学报,2004,21(1).Gao Weiguang,He Haibo.Adaptive robust federated filtering[J].Journal of Institute of Surveying and Mapping,2004,21(1).
[11]单永高,范影乐,庞全.基于差分的细节保留自适应滤波算法[J].计算机工程与科学,2004,26(7).Shan Yonggao,Fan Yingle,Pang Quan.A difference-based detail-preserving adaptive filter algorithm[J].Computer Engineering&Science,2004,26(7).
[12]张恒,雷志辉,丁晓华.一种改进的中值滤波算法[J].中国图象图形学报,2004,9(4).Zhang Heng,Lei Zhihui,Ding Xiaohua.An improved method of median filter[J].Journal of Image and Graphics,2004,9(4).
[13]李剑峰,乐光新,尚勇.基于改进型D-S证据理论的决策层融合滤波算法[J].电子学报,2004,32(7).Li Jianfeng,Yue Guangxin,Shang Yong.Decision-level fusion filtering algorithm based on advanced D-S theory of evidence[J].Acta Electronica Sinica,2004,32(7).
[14]孔祥玉,魏瑞轩,韩崇昭,马红光.一种稳定的总体最小二乘自适应滤波算法[J].西安交通大学学报,2004,38(8).Kong Xiangyu,Wei Ruixuan,Han Chongzhao,et al.Stable total least mean square adaptive filter algorithm[J].Journal of Xi′anJiaotong University,2004,38(8).
[15]Chen J,Sato Y,Tamura S.Orientation space filtering for multiple orientation line segmentation[J].IEEE Trans Pattern Analysis andMachine Intelligence,2000,22(5):417-429.
[16]曲延锋,徐健,李卫军,等.有效去除图像中脉冲噪声的新型滤波算法[J].计算机辅助设计与图形学学报,2003,15(4):397-401.Qu Yanfeng,Xu Jian,Li Weijun,et al.New effective filtering algorithm for the removal of impulse noise from images[J].Journal ofComputer-aided Design&Computer Graphics,2003,15(4):397-401.
[17]朱虹,李永盛,乐静,等.一种肾切片图像的肾小球边界增强滤波算法[J].中国生物医学工程学报,2003,22(4):370-373.Zhu Hong,Li Yongsheng,Le Jing,et al.A filter algorithm for edge emphasis of glomerulusin the image of kidney tissue slices[J].Chinese Journal of Biomedical Engineering,2003,22(4):370-373.
[18]赵乘麟.一种新的保边缘滤波算法[J].电子与信息学报,2003,25(11):1581-1584.Zhao Chenglin.A new edge-reserve filtering algorithm[J].Journal of Electronics and Information Technology,2003,25(11):1581-1584.
[19]冈萨雷斯(美).数字图象处理(第二版)[M].北京:电子工业出版社,2003.Rafael C.Gonzalez Digital Image Processing[M].Second Edition.Beijing:Publishing House of Electronics Industry,2003.
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