HB插值样条曲线曲面

HB INTERPOLATION SPLINE CURVES AND SURFACES

利用三次Ｈｅｒｍｉｔｅ基的变换，得到了构造三次插值样条曲线曲面的一组新的基──ＨＢ基。由ＨＢ基构造的分段三次插值样条曲线具有Ｃ１－连续、保形的特点；构造的双三次插值样条曲面具有Ｃ１－连续，形状可调的特点，能方便地应用于ＣＡＤ／ＣＡＭ设计造型中。

By transformation of Hermite basis,this paper obtains a group of new basis to construct cubic inter-polating curves and surfaces. The piecewise cubic interpolating curves constructed by the basis can be C1 continuousshape-preserving. The constructed bicubic surfaces are C1 continuous,shape-adjustable,which can be convenientlyused in the design and modelling of CAD/CAM.