Multibeam bathymetry based on multiple geometric models and coverage overlap analysis

In this paper, we mainly study the multibeam bathymetry bandwidth and overlap rate calculation and the optimization of survey path schemes under different sea conditions. Based on the basic idea of constructing different geometric mathematical models, the geometric relationship between adjacent multibeam survey strips is expressed, and then the plane geometric model for calculating the measurement bandwidth and overlap rate between adjacent strips is established; the three-dimensional simulation scheme of multibeam bathymetry and three-dimensional simulation diagrams of profiles with special geometric relationship are drawn, and the three-dimensional slope is reduced to a two-dimensional plane based on the geometric relationship of space, and the spatial angle is calculated to obtain the three-dimensional geometric model. The three-dimensional geometric model is obtained by calculating the angle between the survey paths and the normal plane of the seabed slope according to the idea of plane geometry. To validate the model of a single slope, a system of nonlinear equations is then set up and solved using an iterative algorithm to obtain the shortest survey path that realizes the full coverage of the measurement. A scatter fit is applied to prove that it conforms to the geometric law..