摘要
传统的Bézier曲面控制顶点的反求算法在型值点的参数值为0时,计算公式中会出现分母为0的情况,导致程序的计算结果不准确。通过对型值点的参数化值进行分类讨论,将参数值为0的型值点单独处理,改进了m×n次Bézier曲面控制顶点的反求算法。实例验证,改进后的算法得出的控制顶点结果准确,生成的曲面满足A级曲面的光顺性要求。
When the parameter values of the characteristic points are equal to zero, a zero denominator will appear in the design formulas, then the calculation of traditional inverse algorithm for Bézier surface vertices will be inaccurate. Through discussing the parametric value of the characteristic points,the characteristic points that parameter values are equal to zero were treated separately, and the inverse algorithm for time Bézier surface vertices was improved. The running of practical example proves that the surface vertices generated by improved algorithm were accurate and the smoothness of surface with improved algorithm satisfied the requirement of Class A surface.
出处
《农业装备与车辆工程》
2012年第4期27-30,共4页
Agricultural Equipment & Vehicle Engineering
基金
山东省自然科学基金(ZR2010EL002)
