A completely well-centered tetrahedral mesh is a triangulation of a three dimensional domain in which every tetrahedron and every triangle contains its circumcenter in its interior. Such meshes have applications in scientific computing and other fields. We show how to triangulate simple domains using completely well-centered tetrahedra. The domains we consider here are space, infinite slab, inf...

Modifications in recorder standardization are required to correct inherent scalar differences among potential differences measured in a given electrocardiographic reference frame. In the frontal plane, agreement between the resultant vectors calculated from unipolar limb lead measurements and from standard lead measurements can be obtained by standardizing the galvanometer for recording the uni...

A decentralized control strategy for a robot swarm is presented, where each robot try to form a regular tetrahedron with its three neighbors. The proposed method is based on virtual spring and demands minimum local information. Four neighboring robots can form a regular tetrahedron formation regardless of their initial positions. A neighbor selection procedure is used to extend the strategy In ...

We present an e cient algorithm to construct C smooth meshes of quintic A-patches that interpolate or approximate the vertices of a given triangulated polyhedron P. An A-patch is a smooth and functional zero-contour patch of a trivariate polynomial in Bernstein-B ezier (BB) form de ned within a tetrahedron. A simplicial hull is constructed based on P. A quintic A-patch is then constructed withi...

Figure 2. Raman spectra of Mg(BH(D)4)2 (in red) and LiBH(D)4 (in blue). Upper curves: deuteride, lower curves: hydride. The asterisk indicates a band resulting from residual diethyl-ether. Figure 5. Structure of Mg(BH4)2 viewed along the hexagonal b axis, showing two unit cells. Red (partially transparent) tetrahedra are BH4units; Mg atoms in blue. Considering the cations as A and the tetrahedr...