Abstract
Starting from the geometric model formed by the multi-beam line measuring device for seabed mapping, this paper makes geometric analysis of the two-dimensional plane and three-dimensional map respectively and establishes the mathematical expressions of the relevant parameters, and calculates the mathematical function relationship of the relevant parameters according to the motion of the surveying ship on the sea level and the distribution of the survey lines. Two and three dimensional models are established to improve the accuracy of surveying submarine depth and the utilization rate of multi-beam line measuring device. By using geometric relation in two-dimensional plane, linear function relation is established and related parameters are solved. Based on the working principle of analyzing the solution method of the full coverage shortest path, a benchmark is established, the measured line is perpendicular to the sea boundary, the parameter values at this time are calculated, the dynamic programming model is established, the local optimal solution is obtained by particle swarm optimization algorithm, and the optimal solution is obtained by cyclic traversal. The minimum number of survey lines N and the minimum total measurement length L are obtained
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