The Visualization Of Topologies And The Fast Metamorphosis Of Polyhedral Models In 3D

The 3D object is an important aspect in the computer graphics. For the preferable vision purpose and the broad application purpose, whether for science research or economic requirement, the technology of visualizing and morphing of 3D object is always the focus in this domain,and it is becoming a favorite focus.In this article, we have analyzed the basic technologies of visualization and metamorphosis. This thesis discussed a new method of visualization, and then presented a fast metamorphosis technology based on the connectivity transformation.During the processing of 3D visualizing, the discrete gradient vector filed based on the Morse theory is presented, and is applied to visualization of topologies. This method and another flow-visualization way are respectively demonstrated with the Moebius strap and the trumpet shell, the analysis and the compare are presented. Considering our ultimate research purpose and practicality, the correlative theories are introduced first and then to construct the discrete gradient vector field. Finally the vector filed is visualized, and experiments show the availability of the result.As for the fast metamorphosis of 3D polyhedral models, advancing the speed of metamorphosis is always a key issue. The connectivity transformations were presented, and were applied to the fast metamorphosis of polyhedral. In order to controls the both models'features in the process of metamorphosis, the priority control function was used to handle both vertex and edge at the same time. The scheduling connectivity transformations operation advanced the speed of morphing. A sparse linear system decreased the time of embedding patches. In addition, it took advantages of shape smooth by using rectifying feature points and boundary handling in the morphing sequence. This fast morphing method and the former morphing measure were respectively demonstrated with the metamorphosis of 3D polyhedral models. Furthermore, the result analysis was given. The experiment results show that this method can implement fast and smooth metamorphosis.