Zheng, J. J., Zhang, J. J., Zhou, H.J. and Shen, L.G., 2005. Smooth spline surface generation over meshes of irregular topology. The Visual Computer, 21 (8-10), pp. 858-864.
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Official URL: http://www.springerlink.com/content/j11651u471h273...
An efficient method for generating a smooth spline surface over an irregular mesh is presented in this paper. Similar to the methods proposed by [1, 2, 3, 4], this method generates a generalised bi-quadratic B-spline surface and achieves C1 smoothness. However, the rules to construct the control points for the proposed spline surfaces are much simpler and easier to follow. The construction process consists of two steps: subdividing the initial mesh once using the Catmull–Clark  subdivision rules and generating a collection of smoothly connected surface patches using the resultant mesh. As most of the final mesh is quadrilateral apart from the neighbourhood of the extraordinary points, most of the surface patches are regular quadratic B-splines. The neighbourhood of the extraordinary points is covered by quadratic Zheng–Ball patches .
|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:||28 May 2007|
|Last Modified:||07 Mar 2013 14:36|
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