According to the human visual sensitivity characteristics to spatial depth changes,this paper studies the just noticeable depth difference(JNDD) of the detail perception.The JNDD model is proposed through derivation and analysis on a large number of subjective experiments.Then,a trilateral filtering algorithm is presented based on the model to suppress the unperceivable depth details and to minimize the rendering artifacts due to the inaccurate depth estimation.Subjective and objective experimental results prove that the proposed trilateral filtering algorithm for depth map based on JNDD model can smooth the object edges and reduce the edge noise in the synthesized view while reduce the bit rates.