You, L.H., Comninos, P. and Zhang, J. J., 2004. PDE Blending Surfaces with C2 Continuity. Computers and Graphics, 28 (6), pp. 895-906.
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Official URL: http://www.sciencedirect.com/science?_ob=MImg&_ima...
In this paper, we propose to use a general sixth-order partial differential equation (PDE) to solve the problem of C2 continuous surface blending. Good accuracy and high efficiency are obtained by constructing a compound solution function, which is able to both satisfy the boundary conditions exactly and minimise the error of the PDE. This method can cope with much more complex surface-blending problems than other published analytical PDEmethods. Comparison with the existing methods indicates that our method is capable of generating blending surfaces almost as fast and accurately as the closed-form method and it is more efficient and accurate than other extant PDE-based methods.
|Uncontrolled Keywords:||Generation of blending surfaces C2 continuity Sixth-order PDEs Efficient and effective resolution method|
|Subjects:||Arts > Graphic Arts|
Generalities > Computer Science and Informatics
Technology > Manufacturing and Design > Design
|Group:||Media School > National Centre for Computer Animation|
|Deposited By:||INVALID USER|
|Deposited On:||17 Sep 2007|
|Last Modified:||07 Mar 2013 14:36|
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