基于计算几何的多波束测线模型

Multi-Beam Measuring Line Model Based on Computational Geometry

多波束具有测点密度大、精度高、可视化等优点,被广泛应用于海洋测量。根据数学建模赛题给出的案例,在不同的海域条件下,借助计算几何和三角函数定理,建立并推导多波束测深过程中表征覆盖宽度和相邻条带重叠率关系的数学模型。同时,基于向量法提出了一种多波束测线设计优化方法,详细给出了MATLAB求解结果。模型的合理性通过模拟仿真进行检验说明。

Multi-beam has the advantages of large measuring point density,high precision and visualization,and is widely used in ocean measurement.According to the case given in the mathematical modeling competition,the paper establishes and obtains the relationship of coverage width and overlapping ratio of multiple beam sounding and adjacent bands in different sea conditions.Meanwhile,an optimization method is proposed based on vector method,and the MATLAB is solved in detail.The plausibility of the model was checked by simulation.