5 research outputs found
Three-Dimensional Object Registration Using Wavelet Features
Recent developments in shape-based modeling and data acquisition have brought three-dimensional models to the forefront of computer graphics and visualization research. New data acquisition methods are producing large numbers of models in a variety of fields. Three-dimensional registration (alignment) is key to the useful application of such models in areas from automated surface inspection to cancer detection and surgery. The algorithms developed in this research accomplish automatic registration of three-dimensional voxelized models. We employ features in a wavelet transform domain to accomplish registration. The features are extracted in a multi-resolutional format, thus delineating features at various scales for robust and rapid matching. Registration is achieved by using a voting scheme to select peaks in sets of rotation quaternions, then separately identifying translation. The method is robust to occlusion, clutter, and noise. The efficacy of the algorithm is demonstrated through examples from solid modeling and medical imaging applications
Aromatic Borozene
Based on our comprehensive theoretical investigation and known experimental
results for small boron clusters, we predict the existence of a novel aromatic
inorganic molecule, B12H6. This molecule, which we refer to as borozene, has
remarkably similar properties to the well-known benzene. Borozene is planar,
possesses a large first excitation energy, D3h symmetry, and more importantly
is aromatic. Furthermore, the calculated anisotropy of the magnetic
susceptibility of borozene is three times larger in absolute value than for
benzene. Finally, we can show that borozene molecules may be fused together to
give larger aromatic compounds with even larger anisotropic susceptibilities.Comment: 4 pages, 4 figures and 1 tabl