圖像插值方法對互信息局部極值的影響分析
Study on Local Maxima Problem of Mutual Information in Different Resolution Images Registration
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摘要: 多模態(tài)圖像配準(zhǔn)中常使用互信息作為配準(zhǔn)度量，互信息中的聯(lián)合概率密度函數(shù)一般是利用圖像灰度對的統(tǒng)計(jì)值來代替的，而圖像插值可能產(chǎn)生新的灰度對，造成互信息出現(xiàn)局部極值。該文利用一維信號從理論上分析了線性和最近鄰兩種插值方法對互信息的影響。理論分析表明，線性插值造成互信息局部極值的可能性較小，而最近鄰插值會(huì)使互信息出現(xiàn)周期性局部極值。試驗(yàn)結(jié)果證實(shí)了該文的結(jié)論。分析結(jié)果對基于互信息的多模態(tài)圖像配準(zhǔn)具有理論參考價(jià)值。
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關(guān)鍵詞:
- 圖像配準(zhǔn); 互信息; 圖像插值
Abstract: Mutual information has been used as a similarity metric in medical image registration. The probabilities of mutual information may be estimated by normalization of the joint intensity histogram, which is obtained by binning the intensity pair of the overlapping parts of the reference image and the floating image. However, image interpolation would create new intensity pairs and may cause local maxima of mutual information. In this paper, local maxima of mutual information are analyzed using linear interpolation and near neighborhood interpolation for different resolution images. Analysis results show that mutual information contains less local maxima when linear interpolation is used, and contains local maxima when near neighborhood interpolation is used. Experiments show the validity of the results. All these results are benefit to multimodal medical image registration. -
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