This paper presents a high-capacity method to embed information into the geometry of a 3D polygonal mesh. The method extends a previously reported work, to which several improvements have been brought. By construction, the new embedding algorithm is robust against rotation, scaling and translation attacks. Analysis of the proposed method on different meshes showed that its embedding capacity compares to that of previous high-capacity works. Furthermore, the new technique introduces only negligible amount of distortions to the cover mesh.