Determining Vertices of Subdivision Meshes Based on Energy Optimization

The subdivision method is the very simple m et hod to blend parameter patches. However, it is still a problem how to make progr ams automatically calculate vertices of the initial subdivision mesh of a blendi ng surface. This paper analyses properties of the mesh and classifies mesh curve s. Based on it, an optimization model is presented by fairing of the mesh. Aimin g at characteristics of the model, key vertices of the mesh are firstly calculat ed and the model is converted into a linear system. The approach calculating mes h vertices realize automatization-determining vertices of the initial mesh. Exp eriments show that the obtained blending surfaces have good fairness and the app roach is very efficient.