Solid Modelling with Fourth Order Partial Differential Equation
Journal: International Journal of Computers
A solid modeling method is developed in this paper. In order to satisfy the tangential continuity, a fourth order partial differential equation is proposed and the boundary conditions defining the solid are presented. Since an analytical expression of solid models is the fastest in the geometric modeling, a unified closed form solution to the partial differential equation is sought which accurately satisfies the boundary conditions of solids. A number of examples are presented to demonstrate the applications of the developed method in solid modeling and the effects of vector-valued parameters, force function, geometric parameters and basic functions on the shape of solids.