自适应反距离加权法滤除椒盐噪声
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摘要
针对传统降噪算法在去除椒盐噪声的同时,不能很好地保护图像边缘结构信息的问题,改进了自适应的反距离加权插值(IDWI)滤除椒盐噪声.该算法通过自适应选择滤波窗口,通过计算待处理图像椒盐噪声密度,自适应选择反距离加权的权值系数.最后将图像噪声点处的值替换成反距离加权的插值,此插值使用所选自适应窗口内非噪声点像素值的距离加权和.实验结果表明,该算法在滤除椒盐噪声上优于其它算法,滤除噪声的同时能更好地保留图像细节、有更好的峰值信噪比,改善图像视觉效果.
The traditional noise reduction algorithm can not protect the edge structure information of the image while removing the salt and pepper noise,and improve the adaptive inverse distance weighted interpolation(IDWI)to remove the salt and pepper noise.The algorithm adaptively selected the filtering window,adaptively selected the weighting coefficient of the inverse distance weighting by calculating the salt and pepper noise density of the image to be processed.Finally,the value at the image noise point was replaced by an inverse distance weighted interpolation that used the distance weighted sum of the non-noise point pixel values within the selected adaptive window.The experimental results show that the proposed algorithm outperforms other algorithms in filtering out salt and pepper noise.It can better preserve image details,better peak signal-to-noise ratio and improve image visual effects while filtering out noise.
The traditional noise reduction algorithm can not protect the edge structure information of the image while removing the salt and pepper noise,and improve the adaptive inverse distance weighted interpolation(IDWI)to remove the salt and pepper noise.The algorithm adaptively selected the filtering window,adaptively selected the weighting coefficient of the inverse distance weighting by calculating the salt and pepper noise density of the image to be processed.Finally,the value at the image noise point was replaced by an inverse distance weighted interpolation that used the distance weighted sum of the non-noise point pixel values within the selected adaptive window.The experimental results show that the proposed algorithm outperforms other algorithms in filtering out salt and pepper noise.It can better preserve image details,better peak signal-to-noise ratio and improve image visual effects while filtering out noise.
引文
[1]王科俊,熊新炎,任桢.高效均值滤波算法[J].计算机应用研究,2010,27(2):434-438.Wang Kejun,Xiong Xinyan,Ren Zhen.Efficient mean filtering algorithm[J].Application Research of Computers,2010,27(2):434-438.(in Chinese)
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[12]Aiswarya K,Jayaraj V,Ebenezer D A.New and efficient algorithm for the removal of high density salt and pepper noise in images and videos[C]∥Proceedings in International Conference on Computer Modelling and Simulation,2010:409-413.
[13]Esakkirajan S,Veerakumar T,Subramanyam A N,et al.Removal of high density salt and pepper noise through modified decision based unsymmetrial trimmed median filter[J].IEEE Signal Process Lett,2011,18(5):287-290.
[14]Jayasree P S,Raj P,Kumar P,et al.A fast novel algorithm for salt and pepper image noise cancellation using cardinal B-splines[J].Signal Image and Video Processing,2013,7(6):1145-1157.
[15]Veerakumar T,Esakkirajan S,Vennila I.Recursive cubic spline interpolation filter approach for the removal of high density salt-and-pepper noise[J].Int.J.Signal Image Video Process Springer,2013,8(1):159-168.
[16]Vasanth K,Kuma V J S.A decision based neighborhood referred unsymmetricsal trimmed variants filter for the removal of high density salt and pepper noise in images and videos[J].Int.J.Signal Image Video Process Springer,2014,9(8):1833-1841.
[17]Chen H G,Li A.A fast filtering algorithm for image enhancemen[J].IEEE Transactions on Medical Imaging,1994,9(3):557-564.
[18]Lu G Y,Wong D W.An adaptive inverse distance weighting spatial interpolation technique[J].Computers&Geosciences,2008,34(9):1044-1055.
[2]Zhang X M,Xiong Y L.Impulse noise removal using directional difference based noise detector and adaptive weighted mean filter[J].IEEE Signal Processing Society,2009,27(2):295-298.
[3]Huang T S,Yang G J.Fast two dimensional median filtering algorithm[J].IEEE Trans Acoust Speech Signal Process 1979,27:13-18.
[4]Hwang H,Haddad R A.Adaptive median filters:new algorithms and results[J].IEEE Trans on Image Processing,1995,4(4):499-502.
[5]Zhang Z,Han D,Dezert J,et al.A new adaptive switching median filter for impulse noise reduction with pre-detection based on evidential reasoning[J].Signal Processing,2018,147:173-189.
[6]Ko S J,Lee Y H.Center weighted median filters and their applications to image enhancement[J].IEEETrans on Circuits and Systems,1991,38(9):984-993.
[7]Chen T,Ma K.Tri-state median filter for image denoising[J].IEEE Trans on Image Process,1999,8(12):1834-1837.
[8]Chen T,Wu H R.Adaptive impulse detection using center-weighted median filters[J].IEEE Signal Processing Letters,2001,8(1):1-3.
[9]Srinivasan K S,Ebenezer D.A new fast and efficient decision-based algorithm for removal of high-density impulse noises[J].IEEE Signal Processing Letters,2007,14(3):189-192.
[10]Cumpim C,Punchalard R,Janchitrapongvej K,et al.Salt-and-pepper noise removing by Shepard interpolation method[C]∥Proc of the 13th International Conference on Electrical Engineering/Electronics,Computer,Telecommunications and Information Technology,2016:1-5.
[11]Toh K K V,Isa N A M.Noise adaptive fuzzy switching median filter for salt-and-pepper noise reduction[J].IEEE Signal Process Lett,2010,17(3):281-284.
[12]Aiswarya K,Jayaraj V,Ebenezer D A.New and efficient algorithm for the removal of high density salt and pepper noise in images and videos[C]∥Proceedings in International Conference on Computer Modelling and Simulation,2010:409-413.
[13]Esakkirajan S,Veerakumar T,Subramanyam A N,et al.Removal of high density salt and pepper noise through modified decision based unsymmetrial trimmed median filter[J].IEEE Signal Process Lett,2011,18(5):287-290.
[14]Jayasree P S,Raj P,Kumar P,et al.A fast novel algorithm for salt and pepper image noise cancellation using cardinal B-splines[J].Signal Image and Video Processing,2013,7(6):1145-1157.
[15]Veerakumar T,Esakkirajan S,Vennila I.Recursive cubic spline interpolation filter approach for the removal of high density salt-and-pepper noise[J].Int.J.Signal Image Video Process Springer,2013,8(1):159-168.
[16]Vasanth K,Kuma V J S.A decision based neighborhood referred unsymmetricsal trimmed variants filter for the removal of high density salt and pepper noise in images and videos[J].Int.J.Signal Image Video Process Springer,2014,9(8):1833-1841.
[17]Chen H G,Li A.A fast filtering algorithm for image enhancemen[J].IEEE Transactions on Medical Imaging,1994,9(3):557-564.
[18]Lu G Y,Wong D W.An adaptive inverse distance weighting spatial interpolation technique[J].Computers&Geosciences,2008,34(9):1044-1055.