Abstract: Local stereo matching methods typically assumed that all pixels inside the support window have the same disparity,which lead to disparity misestimating for slanted surfaces.For this problem,an adaptive damping factors-based permeability filter for the aggregation of matching cost method is proposed.Firstly,a more suitable adaptive‘butterfly-shaped’support window is proposed for complex and diverse image structures.Secondly,calculated by the distance measurement,gray similarity measurement and gradient information measurement between pixels,the adaptive damping factors are changed adaptively along horizontal and vertical orientations,which relax the local smooth assumption and permit disparity variation for similar points within slanted surfaces.Finally,the adaptive damping factors-based permeability filtering(PF)matching cost is aggregated within the‘butterfly-shaped’adaptive support window.Experimental results demonstrate the efficiency and accuracy of our proposal,which provides a high precision dense and reliable disparity maps for slanted surfaces,even for the cases where the surfaces do not contain sufficient textural information.