水底地形图绘制的数学建模方法

随着相干声纳系统技术的逐步完善，为水底深度测量和水底地形图的绘制提供了依据。首先考虑现有的相干声纳系统模型，利用多波束测量方法测量水底深度，然后，在模型Ⅱ和模型Ⅲ中采用三次样条插值法对所测得的水底深度值进行拟合，并利用拟合所得数据绘出水底地形剖面图、水底地形立体图，利用Matlab软件，调用griddata函数进行曲面拟合，调用contour函数绘制等高线图，从而全面了解水底地形的变化，把握水底地形的信息。

Method of Mathematical Modeling for Drawing Submarine Topographic Map

With the gradual perfection of interferometric sonar system technology, more foundation is made for submarine measurement and the drawing of submarine topographic map. The authors, while considering the existing interferometric sonar system model, used the method of multi-beam survey to get the value of marine depth and build the model of interferometric sonar system. In model Ⅱ and model Ⅲ, they fit the measured value of marine depth based on the cubic spline interpolation method and made a profile, a three-dimensional drawing and a contour map of the submarine topography with the data fitted. In this procession, they invoked the griddata function to fit curved surface and the contour function to make contour map based on the Matlab software, so as to obtain the submarine topographic information and know the changes of topography.