The Data Dependent Triangulation algorithm which represents image as the triangulation mesh, and then take Gouraud interpolation internal triangles. For the less operation efficiency of the Gouraud interpolation, propose a improved triangle internal interpolation method based on the barycentric coordinates properties. It reduces the operation time efficiently. At the same time, employ the edges overlap determination, improve the triangulations accuracy rating. The experimental results show that the improved algorithm is better to improve the image edge smoothness and operation speed.