中文摘要：

对球艏曲面的参数化建模方法进行了系统研究,首先对球艏的纵向特征曲线和横截面曲线进行参数化建模,将曲线的生成问题看成是一个约束优化问题,目标函数反映了曲线的光顺性,形状参数集则构成问题的等式约束条件,设计变量为曲线的控制顶点坐标。对于球艏曲面的建模则采用改进曲面放样法,即在生成曲面的过程中考虑纵向曲线的光顺性,使得生成的曲面不仅插值通过各条球艏截面曲线,同时具有较好的光顺性。

英文摘要：

In this paper, parametric design approach of bulbous bow surface is studied synthetically. Parametric modelling of longitudinal characteristic curves and cross-section curves of the bulbous bow surface is carried out and can be regarded as a constrained optimization problem, the objective function expresses the smoothness of the curve, while the set of form parameters composes constraint conditions, and design variables are coordinate components of control points on the curve. An improved surface lofting method, that the smooth of each longitudinal curve is considered in the course of modeling, is utilized, so that the resultant surface interpolating all cross-section curves on the bulbous bow surface has satisfactory smoothness.