Continuous free form deformation

In this paper, we present a new free-form deformation model which uses 3D lattices as deformation tool. With this technique called CFFD, the deformation tool made of Bézier tetrahedral volumes can describe any 3D space subdivision. Furthermore, this model maintains the continuity of the surface of objects throughout the deformation. We show that the C 1 continuity constraint between tetrahedral lattices is useless to control the continuity of the deformation. Thus, in order to maintain it, we introduce a new type of constraint which applies only on the lattice deformation. We first define this constraint on a set of two tetrahedral lattices. Then, using this outcome, we study the case of m tetrahedral lattices around a central edge.