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Stereoscopic video coding is a key technology for the development of three-dimensional television (3DTV). Nonetheless, the task remains highly challenging owing to the large amount of 3DTV. Traditional stereoscopic video coding is found to be ineffective in reducing the unnecessary stereoscopic perceptual redundancy. Thus better compression efficiency is highly desired in stereoscopic video coding. In this paper, we propose a foveation weight model based on auto-stereoscopic display, and incorporate it into a stereoscopic just-noticeable-distortion (JND) model to give more accurate estimation of the stereoscopic perceptual effect. In order to utilize this model to improve the stereoscopic video coding efficiency, we present a block-adaptive residue preprocessing method based on stereoscopic JND model. Extensive experiment results demonstrate that the proposed scheme can efficiently reduce the unnecessary perceptual redundancy without visual quality degradation.