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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。
The reverse algorithm of the traditional Bézier surface control vertex is that when the parameter value of the type point is 0, the denominator will be 0 in the calculation formula, which leads to the inaccurate calculation result of the program. By discussing the parameterized values of type points, the value points with parameter value 0 are treated separately to improve the reverse algorithm of controlling the vertices of m × n times Bézier surfaces. The example verifies that the result of the control vertex obtained by the improved algorithm is accurate, and the generated surface satisfies the requirements of the smoothness of the A-level surface.