1. An apparatus for determining a stereo disparity, comprising: a pre-processing means for analyzing texture distribution of an input image and dividing the input image into a homogeneous region and a non-homogeneous region; a local matching means for determining candidate disparities of each pixel in the input image; a local post-processing means for removing candidate disparities in a pixel having a low reliability by performing a visibility test between the candidate disparities in each pixel to improve the reliability of the candidate disparity; a global optimizing means for determining a final disparity among the candidate disparities in an each pixel by performing a two path dynamic programming.