用B样条拟合船体型线及其算例

Constrained Uniform B-spline Fitting Curves and Mathematical Hull Line Calculating Examples

介绍了 B样条用于船型曲线造型与拟合的方法 .具体讨论了反求控制点 ,二分法插值给定的型值点列的曲线计算方法 ,用该方法拟合了一条长江客货两用船的型线 .采用静水力计算程序对该设计船舶进行了静水力计算与衡准 ,以判断船舶型线是否满足设计要求 。

This article introduced a mathematical method, which is used to figure out each row of Control Vertexes of the hull lines. Using this interpolation method, at first we can calculate every Control Vertexes of a hull line; the second, we can calculate every B spline Basis Function; the third we can calculate every points and knots of an Uniform B spline. Several instances of the program sequence are given in this article. The hull lines of a Changing River passenger ship are calculated. Also, the stability of this ship is calculated to test whether the hull lines is satisfactory. According to the work we did before, a system of hull line design is given at the end of this article.