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Best bounds on the distance between 3-direction quartic box spline surface and its control net |
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| Authors: | Xiao-ming?Zeng mailto:xmzeng@xmu.edu.cn" title=" xmzeng@xmu.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Guo-rong?Zhou,Lian-qiang?Yang |
| Affiliation: | 1.Department of Mathematics,Xiamen University,Xiamen,China;2.School of Mathematics,Anhui University,Hefei,China |
| Abstract: | We present the best bounds on the distance between 3-direction quartic box spline surface patch and its control net by means of analysis and computing for the basis functions of 3-direction quartic box spline surface. Both the local bounds and the global bounds are given by the maximum norm of the first differences or second differences or mixed differences of the control points of the surface patch. |
| Keywords: | Box spline bound parametric surface basis function differences of control point. |
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