A Study of Multibeam Line Bathymetry Problems Combined with Digital Visualization Techniques

In this paper, we address the problem of multibeam bathymetry to establish the optimal survey line layout for seafloor bathymetry by using geometric relationships in different situations, combining optimization algorithms and nonlinear planning models as well as data fitting and data visualization. First, a mathematical model of the coverage width of multibeam bathymetry and the overlap rate between adjacent strips is established. Then, the mathematical model of the coverage width of multibeam bathymetry is established in the case where there is an angle between the direction of the survey line and the projection of the normal direction of the seafloor slope on the horizontal plane. Again, a set of survey lines with the shortest measurement length that meets the requirements is designed, and the problem is transformed into a constrained optimization problem, which is solved based on the nonlinear programming method under the given constraints. Finally, the bathymetric data of a given sea area, given the relevant constraints, find the total length of the survey lines, and formulate an optimization strategy to achieve minimizing the total length of the survey lines and maintaining sufficient coverage and controlling the overlap rate, to find the optimal layout of the survey lines to satisfy the survey task. The proposed model is easy to understand, capable of handling complex constraints, and very flexible in practical problems.