Composite primal/dual 3-subdivision schemes Original Research Article

We present new families of primal and dual subdivision schemes for triangle meshes and 3-refinement. The proposed schemes use two simple local rules which cycle between primal and dual meshes a number of times. The resulting surfaces become very smooth at regular vertices if the number of cycles is ⩾2. The C1-property is violated only at low-valence irregular vertices, and can be restored by slight modifications of the local rules used.