消声瓦几何生成的测地线法

Geodesic Method of Geometrically Generating for Anechoic Tile

利用艇体外形曲面型值点阵,构造双三次准均匀B样条曲面的插值函数,再利用测地线微分方程进行测地线的数值求解,生成艇体曲面上任意点任意方向上一定弧长的测地线,用于绘制艇体曲面上消声瓦敷设后的三维边界曲线。对上述消声瓦三维边界曲线的几何生成方法进行了理论探讨,并利用M ATLAB语言进行了编程计算和图形输出。

This paper applies the offsets of submarine hull surface to establish the interpolated function of bi-cubic quasi-uniform B-spline surface. And then geodesic curves are solved with utilizing geodesiccurve differential equation by means of numerical method, which generates geodesic curve with a definite arc length on surfaces of submarine hull in arbitrary point and arbitrary direction. This geodesic curve represents the 3-D boundary curve of anechoic tile after being affixed. The theoretical study of this geometrical method to generate the 3-D boundary curve of anechoic tile is presented in this paper. Subsequently, the MATLAB program is applied for the calculating kernel and performing simple graphic output.