3D mesh morphing based on a metamesh has fundamental limitations of complicated in-between meshes and no topology (connectivity) changes in a metamorphosis. This paper presents a novel approach for 3D mesh morphing, which is not based on a metamesh. The approach simultaneously interpolates the topology and geometry of input meshes. In our approach, an in-between mesh contains only the vertices from the source and target meshes. Since no additional vertices are introduced, the in-between meshes are much simpler than those generated by previous techniques.