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One problem in subdivision surfaces is the number of facets grows exponentially with the level of subdivision. Subdivision schemes are cost intensive at higher levels of subdivision. In this paper, we propose an adaptive subdivision scheme for subdivision surfaces based on triangular meshes and exploit the local smoothness information of a surface for adaptive refinement of a model. With this approach, we can avoid unnecessary subdivision in relative smooth areas and represent surfaces with lower cost when compared with those obtained by uniform subdivision schemes. We compare our methods for various 3D graphic meshes and present our results.