One problem in subdivision surfaces is that the number of meshes grows quickly after every subdivision step, and a surface with a huge number of meshes is difficult to manipulate. In this paper, an adaptive process for carrying out local subdivision with a Doo-Sabin recursive subdivision surface is presented. With this process, we can create Doo-Sabin surfaces that are more densely subdivided in areas of higher curvature or in special areas decided by users. The Doo-Sabin surfaces are constructed using fewer meshes compared to the original Doo-Sabin method.