You, L.H. and Zhang, J. J., 2004. Fourth order PDE blends. In: Banissi, E., Boner , K., Dastbaz , M., Clapworthy , G. and Faiola , A., eds. IV 2004: Proceedings of Eighth International Conference on Information Visualisation. IEEE, pp. 1013-1119.
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It has been reported a fourth order partial differential equation is effective in solving surface blending problems. In this paper, we present a new approximate solution to the fourth order partial differential equation and apply it to a number of surface blending tasks. The approximate solution consists of two parts: a blended part of boundary functions is used to accurately satisfy the original boundary conditions that define the blending surfaces; and a bivariate polynomial with zeroed boundary conditions, which is used to minimize the error of the fourth order partial differential equation. Using the developed method, a number of examples are investigated to demonstrate the applications of the proposed method in surface blending.
|Item Type:||Book Section|
|Additional Information:||14-16 July 2004, London|
|Uncontrolled Keywords:||Fourth order partial differential equation; Modified bivariate polynomial solution; Surface blending|
|Subjects:||Generalities > Computer Science and Informatics|
|Group:||Media School > National Centre for Computer Animation|
|Deposited By:||Dr Lihua You|
|Deposited On:||23 May 2010 12:24|
|Last Modified:||07 Mar 2013 15:29|
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