A tiling of the plane is a set of figures, called tiles, that cover the plane without gaps or overlaps. On tiling we consider "Escherization problem": Given a closed figure in the plane, find a new closed figure that is similar to the original and can tile the plane. In this study, we give a new formulation of the problem with the weighted Procrustes distance and an algorithm to solve the problem optimally. We conduct computational experiments with animal shape tiles to confirm the effectiveness of the proposed method.