Multiresolution free-form deformation with subdivision surface of arbitrary topology

Abstract

A new free-from deformation method is presented in this paper. Object deformation is controlled by a mesh of arbitrary topology, namely a control mesh. The subdivision surface determined by the control mesh spans an intermediate deformation space. The object is embedded into the space by the nearest point rule. When the shape of the control mesh is changed, the object embedded in the intermediate deformation space will be deformed accordingly. Since the subdivision surface has a multiresolution property, the proposed deformation method naturally has a multiresolution property. A technique for generating control meshes is also introduced in the paper. Compared with previous deformation methods with arbitrary topology control tools, the proposed method has the advantages of flexible control and computational efficiency

Free-Form Deformation with Rational DMS-Spline Volumes

“…Hence, the smoothness of the deformation space can be guaranteed. This solves the problem presented in [8].…”

“…In this paper, we achieve multiresolution deformation by employing the smooth subdivision of tetrahedral mesh presented in [46]. Unlike the method presented in [8], we firstly subdivide the tetrahedral domain with the subdivision scheme in [46], and then we obtain the refined DMS-lattice according to the refined tetrahedral domain and the DMS-lattice update rules. The refined tetrahedral domain will have fine resolution while its approximate shape will be similar to the original object.…”

“…For a mesh object, we propose a modified version of the methods presented in [42,43]. For the other object representations, we adopt the method presented in [8]. However, as mentioned in [8], how to generate the DMS-lattices for the non-manifold object robustly and automatically remains an open problem.…”

“…For the other object representations, we adopt the method presented in [8]. However, as mentioned in [8], how to generate the DMS-lattices for the non-manifold object robustly and automatically remains an open problem. In the following, we will introduce the generation method of the tetrahedral domain for mesh object.…”

“…But it is only appropriate for global deformation. Feng et al proposed a deformation technique with subdivision surface of arbitrary topology [8] . However, it is hard to achieve direct manipulation of deformation.…”