Zhang, J. J. and You, L.H., 2004. Blending solids with analytical solution to PDE. In: Banissi E, E., Boner, K., Chen , C., Dastbaz, M., Clapworthy, G. and Faiola, A., eds. IV 2004: Proceedings of Eighth International Conference on Information Visualisation. IEEE, pp. 415-421.
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Blending is an interesting subject in computer graphics and CAD. Although surface blending has been well studied, to our knowledge, solid blending remains a blank research area. In this paper, we develop a partial differential equation (PDE) based solid blending method where a vector-valued fourth order PDE together with some surface boundary conditions are involved. In order to solve the partial differential equation, we propose an approximate analytical method which satisfies all the boundary conditions exactly. Unlike surface blending which only gives the information on the blending surface, solid blending represents properly not only the external surface, but also the interior of the solid. Three examples are given in the paper to demonstrate the applications of the proposed method in solid blending.
|Item Type:||Book Section|
|Additional Information:||London; 14-16 July 2004|
|Uncontrolled Keywords:||Approximate analytical solution; Fourth order partial differential equation; Geometric modeling; Solid 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 12:16|
|Last Modified:||07 Mar 2013 15:29|
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