The trinomial property of d-form sequences was discussed,then using the property of d-form functions and finite fields,d-form sequences having the regular trinomial pairs was proved,and the result given by Chao Li and Panpan Xiang can be seen as a special case.

We study the trinomial property of pm-adic periodic sequences and generalize the results in[1], also we give an effective algorithm to search all the trinomial pairs of a given sequence,and thus solve all the problems associated with trinomial property completely.

But in the current methods,regularization item of the energy function smoothes the interior domain and keeps the boundaries discontinuity of disparity map according to the gradient field of image,and it leads the finial dense disparity map retain much traces of image edge in the smooth area.