Presentation and Applications of Lotus-root-shaped Grid of Tetrahedron Coordinate Systems

To achieve smooth morphing between different models with features correspondence, a method of directly establishing correspondences is proposed. Firstly according to the structural characteristics of the input models, divide them into several corresponding parts, and then generate same spherical tetrahedron mesh for each part. Secondly through relevant calculation, find the corresponding point in the target model for each point from source model in each tetrahedron. Finally establish the direct correspondence on the whole. Since the connection of spherical tetrahedron mesh shapes like lotus root, and the calculation for correspondence is mainly based on tetrahedron coordinate system, then we call the generated grid lotus-root-shaped grid of tetrahedron coordinate systems. The experiment results show that this method can effectively realize 3D morphing with features correspondences.