Abstract: Herein described are a motion estimation method and a motion estimation apparatus for calculating a motion vector to estimate a current picture based on a reference picture. The current picture is partially formed by a current block represented by pel values. The reference picture is partially formed by a search window represented by pel values and having a plurality of candidate blocks. There are provided processor elements and side register units arranged in the form of a matrix array. The pel values of the search window are fed to the processor elements and the side register units. The pel values of the current block are fed to the processor elements. Between the processor elements and the side register units, are shifted pel values of the search window.