使用不同的相似性度量來搜索修復結果的最近鄰居。(a)余弦相似度的修復結果(b)提出的相對相似度的修復結果(c) Ground truth圖像(紅色矩形突出填充區域)
簡單地說，對于MRF目標，我們希望最小化生成的特征與通過預先訓練的網絡計算出的ground truth中的最近鄰居特征之間的差異。在大多數以前的工作，余弦相似性測量被用來尋找最近的鄰居。然而，這種相似性度量通常對不同生成的特征塊給出相同的最近鄰，導致修復結果模糊，如圖3(a)所示。
為了避免使用余弦相似度度量可能導致完成圖像模糊，我們采用了相對距離度量，修復結果如圖3(b)所示。你可以看到，完成的圖像有更好的局部精細紋理。
我們來談談它們是如何進行相對距離測量的。Y(hat)_g為缺失區域生成的內容，Y(hat)^L_g 和 Y^L 為預訓練網絡的第L層特征。對分別從Y(hat)^L_g 和 Y^L中提取的v和s特征塊，計算v與s的相對相似度：
mu(. , .)是余弦相似度。r屬于Y^L， v除外。h和 epsilon是正的常數。顯然，如果v比其他特性patch更類似于s，那么RS(v， s)就會很大。你也可以考慮，如果v有兩個類似的patchs和r，那么RS(v， s)就會很小。我們鼓勵在缺失區域之外尋找類似的patches。
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