Subdivision method to create furcating object with multibranches

A novel interim core scheme (ICS) is presented in this paper to construct a furcating object with multibranches. These M branches with arbitrary N-sided boundaries can be positioned freely but cannot be overlapped with each other. A furcating object can be built by blending these branches. The essence of the scheme is to construct a joint mesh that blends the initial control meshes of the M branches, and the smoothness of the resulting surfaces will only depend on the joint mesh and subdivision scheme applied. Some illustrative objects are given to verify the feasibility of ICS.