Abstract: We propose a novel texture synthesis method to a wide variety of textures and any triangulated surfaces. Our idea is to progressively map triangles of mesh to the texture space until the surface is completely mapped. First, we create a tangential vector field over the mesh. Then, the mapping process searches the most optimal texture patch for each triangle in texture sample. For synthesizing continuous texture, we compute the best triangle patch seam between the parts of textures of neighboring triangles by using a graph cut technique. Finally, the texture coordinates are generated and the synthesized texture is compressed to an atlas.