Stereo matching is studied in the paper

which has been a very hot research topic at present.An energy based algorithm inspired by PDE and machine vision theory is proposed to estimate a dense disparity map between two images.Firstly

the effects of matching pairs at various relative positions to the attachment item are analyzed.Secondly

anisotropic heat diffusion equation adapts to disparity map is presented

which inherited from the ability of the Alvarez defining regularization item that keeping the discontinuities across the boundaries of the image and smoothing disparity inside the boundary.In addition image noise shielded function and second order directional derivative are introduced to separately control disparity diffusion velocity of different area and diffusion direction of edge position.At last

new energy function according to our approach is defined

adopting the output of the area stereo matching method as the initial value and steepest descent is exploited to solve the energy functional.Experiment results demonstrate the effectiveness of our approach

both in the visual effect and 3D depth retrieval.