基于Bayes決策的組合中值濾波
COMBINATION MEDIAN FILTER BASED ON BAYES-DECISION
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摘要: 針對圖象濾波中的濾噪和細(xì)節(jié)保護的矛盾,提出了基于Bayes決策的組合中值濾波技術(shù)。內(nèi)容有:(1)導(dǎo)出了測試向量的聯(lián)合分布密度函數(shù);(2)提出了先驗概率的一種估計算法,該算法具有一定的普遍應(yīng)用意義;(3)基于Bayes決策,將標(biāo)準(zhǔn)中值濾波器(MF)和多級中值濾波器(MLM)組合應(yīng)用,給出一種效果優(yōu)良的組合中值濾波器結(jié)構(gòu)。
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關(guān)鍵詞:
- 圖象處理; 中值濾波; Bayes決策; 順序統(tǒng)計
Abstract: To settle the contradiction of noise-filtering and image detail-preserving in image filtering, a combination median filter based on Bayes-decision is proposed. The main contributions are: (1) deriving the union conditional density function of a defined test vector; (2) giving an algorithm for estimating pre-probability; (3) introducing a new filter structure, which combining median and multistage median filters based on Bayes-decision. -
Arce G A, Gallagher N C, Nodes T A. Median Filters: Theory and Application. Advances in Computer Vision and Image Processing, Vol. 2, T. S. Huang, Ed. Greenwich, CT: JAI, 1986, 90.166.[2][2][3]Yin L. Stack filter design: A structure approach. IEEE Trans. on S只1995, SP-43(4): 831-840.[4]Arce G A, Foster R E. Detail-preserving ranked-order based filters for image processing. IEEE Trans on PAMI, 1989, PAMI-37(1): 83-98.[5]Nieminen A, Heinonen只Neuvo Y. A new class of detail-preserving filters for image processing. IEEE Trans. on PAMI, 1987, PAMI-9(1): 74-90.[6]Kundu A, Zhou J. Combination median filter. IEEE Trans. on 1P, 1992, IP-1(3): 422-429.[7]Dixon W J. Ratios involving extreme values. Ann. Math. Statistics, 1951, 26(1): 68-78. -
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