An interpolatory subdivision scheme for triangular meshes and progressive transmission

This paper proposes a new interpolatory subdivision scheme for triangular meshes that produces C-1 continuous limit surfaces for both regular and irregular settings. The limit surfaces also have bounded curvature, which leads to improved quality surfaces. The eigen-structure analysis demonstrates the smoothness of the limit surfaces. According to the new scheme, the approach for progressive transmission of meshes is presented. Finally, results of refined models with the new scheme are shown. In most cases, the new scheme generates more pleasure surfaces than the traditional modified butterfly scheme, especially near the irregular settings.