Normal Control using N-adic Subdivision Schemes

This paper presents simple and efficient deformation methods based on a new class of interpolating N-adic subdivision algorithms. Our N-adic scheme is a natural extension of a standard dyadic scheme – each face of the mesh is more generally divided into sub-faces – and geometric properties are similar. This framework enables us to locally deform the surface using different tools by either modifying the direction of normals at the vertices of the control mesh, or twisting them. Experiments show that the N-adic decomposition provides a more accurate control over deformations, and proves to be a good alternative to dyadic decompositions.