Zhang, J. J. and You, L.H., 2004. PDE surface generation with combined closed and non-closed form solutions. Journal of Computer Science and Technology, 19 (5), pp. 650-656.
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Official URL: http://jcst.ict.ac.cn/cone/cone45.html#paper9
Partial differential equations (PDEs) combined with suitably chosen boundary conditions are effective in creating free form surfaces. In this paper, a fourth order partial differential equation and boundary conditions up to tangential continuity are introduced. The general solution is divided into a closed form solution and a non-closed form one leading to a mixed solution to the PDE. The obtained solution is applied to a number of surface modelling examples including glass shape design, vase surface creation and arbitrary surface representation.
|Subjects:||Arts > Graphic Arts|
Generalities > Computer Science and Informatics
|Group:||Media School > National Centre for Computer Animation|
|Deposited By:||INVALID USER|
|Deposited On:||06 Dec 2007|
|Last Modified:||07 Mar 2013 14:40|
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