Bounds on partial derivatives of NURBS surfaces |
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| Authors: | Guo-jin Wang Hui-xia Xu Qian-qian Hu |
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| Institution: | 1. School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China;2. Institute of Mathematics, Zhejiang Wanli University, Ningbo 315100, China;3. Department of Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China |
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| Abstract: | In this paper, we estimate the partial derivative bounds for Non-Uniform Rational B-spline(NURBS) surfaces. Firstly, based on the formula of translating the product into sum of B-spline functions, discrete B-spline theory and Dir function, some derivative bounds on NURBS curves are provided. Then, the derivative bounds on the magnitudes of NURBS surfaces are proposed by regarding a rational surface as the locus of a rational curve. Finally, some numerical examples are provided to elucidate how tight the bounds are. |
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| Keywords: | NURBS curve NURBS surface derivative bound Dir function discrete B-spline |
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