Abstract: According to the influence of the original mesh on the subdivided limited surfaces, we proposed a sqrt(3)subdivision method based on the laplacian coordinate. In order to preserve the details of the original mesh, the laplacian coordinate of the face's central point was interpolated and was used to modify itself. In side of the boundry face subidivision of the uncloseness mesh, we pointed out the lack of the original sqrt(3) method and proposed a new unified boundry-subdivided method. It can control the incrcasement of the faces and has the advantage of the stability, operability. The result of the experiment shows that the method can make the original mesh reveal on the limited surface and a limited smooth surface mesh can also be obtained.

Key words: Laplacian coordinate,sqrt(3) subdivision, Uniform subdivision of boundry, 3D grid structure