多波束测深技术在测线问题中的优化研究  

Optimization study of multibeam bathymetry technology in survey line routing

作　　者：李慧君 张乾 刘琳 孟慧晴 潘雨晴 LI Huijun;ZHANG Qian;LIU Lin;MENG Huiqing;PAN Yuqing(School of Mathematics and Statistics,Zhoukou Normal University,Zhoukou 466001,China)

机构地区：[1]周口师范学院数学与统计学院,河南周口466001

出　　处：《周口师范学院学报》2024年第5期26-32,共7页Journal of Zhoukou Normal University

摘　　要：主要研究多波束测深技术实现过程中海水深度、覆盖宽度和相邻条带的重叠率的数学模型及给定待测目标海域如何确立测量船的最优测量布线问题。首先,根据测量船和待测海域信息建立二维平面直角坐标系和三维空间直角坐标系,利用直线与直线、直线与平面、平面与平面之间的位置关系建立数学模型。其次,给定待测目标海域信息,通过目标函数和约束条件建立优化模型,采用一维遍历搜索算法,并利用MATLAB软件求解,得到最优的测量线路。The research focuses on the mathematical modeling of water depth,coverage width,and overlap rate between adjacent survey strips in the implementation process of multibeam bathymetry technology.It also addresses how to establish the optimal survey route for a given target sea area.Initially,based on information about the survey vessel and the target sea area,two-dimensional Cartesian coordinate systems and three-dimensional Cartesian coordinate systems are established.Mathematical models are developed using the positional relationships between lines and lines,lines and planes,and planes and planes.Subsequently,given information about the target sea area,an optimization model is established using objective functions and constraints.A one-dimensional exhaustive search algorithm is employed,and MATLAB software is used to solve the model,obtaining the optimal survey route.

关 键 词：多波束测深 重叠率 非线性规划模型 一维遍历搜索 最优测线 

分 类 号：O224[理学—运筹学与控制论]