Finite difference Surface representation considering effect of boundary curvature
Journal: Proceedings of the International Conference on Information Visualisation
Surface representation using the solution to a partial differential equation (PDE) is an important topic of computer graphics and computer aided design. In existing references, various free-from surfaces were created with a fourth order PDE which is only able to meet the tangential conditions at the surface boundaries. The need for a sixth order PDE in surface modelling arises in two situations: one is to generate surfaces with curvature continuity; and the other is to use curvature values as a user handle for surface shape manipulation. In this paper, we introduce such a sixth order PDE for free-form surface generation and develop a finite difference method to solve this PDE. We also investigate the effects of boundary curvature and the vector-valued shape parameters on the surface shape. It is found that their variation has strong influence on the shape of the surfaces, therefore, can be used as flexible user handles.
Finite Difference Surface Representation Considering Effect of Boundary Curvature.
Publisher: IEEE Computer Society
Preferred by: Lihua You