一種新的保邊緣濾波算法
A new edge-reserve filtering algorithm
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摘要: 該文提出了一種新的保邊緣濾波算法,該算法根據(jù)圖像區(qū)域的局部方差大小動態(tài)調(diào)整濾波器的支撐集的大小。方差越大的區(qū)域,說明其高頻分量越多,支撐集就越小。為了能在濾波的同時盡量保護(hù)圖像邊緣,該算法還根據(jù)像素點和中心點的方向矢量同支撐集內(nèi)的平均梯度的夾角把支撐集內(nèi)的像素點分成不同的集合,并給予沿著圖像邊緣的集合以較大的加權(quán)值以及垂直邊緣方向的集合小的加權(quán)值,從而保證了邊緣不模糊。從濾波結(jié)果看,經(jīng)該算法處理過的圖像的峰值信噪比(PSNR)明顯高于中值濾波器處理過的圖像,對細(xì)節(jié)比較豐富的圖像,高于近 3dB。
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關(guān)鍵詞:
- 中值濾波; 加權(quán)值; 內(nèi)積; 支撐集
Abstract: In this paper, a new edge-reserve filtering algorithm is presented. It adaptively adjusts the size of the filters supporting area according to the local variance of the interested area. The bigger the local variance is, which means the more high frequency texture information is contained in this area, the smaller the support area will be. In order to protect the edges of the image when it is filtered, this algorithm will divide the pixels in its supporting area into several groups according to the angle between its direction and the mean gradient of this area. By this way, pixels along the content edges will be given a bigger weight factors than pixels that are vertical to the image edge. Thus protect the edges from being blurred by the filtering process. The simulation results show that this algorithm is better than median filter both in terms of PSNR values and subjective image qualities. For pictures that are rich in texture information, the PSNR gain could reach 3dB higher. -
G.R.Arce,Multistage order statistic filters for image sequence processing,IEEE Trans.on Signal Processing,1991,39(5),1146-1163.[2]A.Murat Tekalp,Digtal Video Processing,Rochester,Prentice Hall,1995,chapter 14,269-271.[3]劉徐德,地形輔助導(dǎo)航系統(tǒng)技術(shù),北京,電子工業(yè)出版社,1994,第三章,3.3節(jié). -
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