Analytical PDE Solid Modelling
نویسندگان
چکیده
In this paper we study analytical solutions of a fourth order partial differential equation subjected to different boundary conditions of solid modelling, and investigate the effects of various factors in the PDE and boundary conditions on the shape of the generated solids. With the proposed modelling technique, we can easily manipulate and modify the shape of the generated solid by altering a set of vector-valued shape parameters and a force function, included in the formulation of the PDE, and / or by altering the positional and tangential constraints, included in the formulation of the boundary conditions of the PDE. We present some examples to demonstrate the capacity of these factors which act as an effective shape manipulation and deformation tool. Key-Words: Solid modelling, analytical solutions, fourth order partial differential equation, shape manipulation
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