摘要
We suggest a new type of subdivision schemes based on matrix dilation for generating smooth surfaces. At each iteration, the number of the nodes in the mesh is doubled and the direction of their weighted averaging changes. The scheme has a low complexity because of a small number of coefficients (four, five or six). Using the recent techniques related to the notion of joint spectral characteristics of matrices, we find the smoothness of generated surfaces which in some cases is surprisingly better than for classical schemes.