2010•한국CAD/CAM학회 국제학술발표 논문집Requires access
Constraint Methods of Directional Derivative for a Bivariate Rational Interpolating Spline Surface (ACDDE 2013)
Yunfeng Zhang, Fangxun Bao, Caiming Zhang, Qiang Guo, Qi Duan
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Abstract
Spline surface is a very important part in Computer Aided Geometric Design. A bivariate rational interpolation spline surface based on function values has been constructed in[9]. It can achieve good approximation effect with parameters, but it would also make the surface control difficult. This paper deals with the constraint methods of partial derivative and directional derivative. the sufficient conditions to modified the partial derivative and directional derivative are derived. The partial derivative and directional derivative can be changed by selecting suitable parameters under the condition that the interpolating data are not changed. Numerical example are given to show how the parameters can be chosen and the shape of surface changed.