船体特征曲线光顺算法研究

Study on the Algorithm of Fairing Characteristic Curve in Hull

在以特征曲线为船体NURBS曲面控制线的基础上,通过特征曲线的几何要素和光顺准则自动生成NURBS控制点,为此需要求解一个非线性规划问题,针对该非线性规划的特点,运用现代内点理论作为数值最优化算法,解决了带几何约束的船体特征曲线光顺问题。

The hull NURBS surface was designed by characteristic B-splines,in which the form-parameters and fairness criteria was applied to generate automatically the NURBS control points.It needs to solve a constrained nonlinear programming equation.Referring to the characteristic of nonlinear programming,the modern interior point theory was used as the optimization algorithm,and fairs the characteristic B-splines with geometric constraints.