A study of multibeam line measurement based on analytic geometry and genetic algorithm

Abstract

This paper focuses on the multibeam bathymetry technology for seabed terrain detection, and utilizes the geometric model, genetic algorithm to study the multibeam bathymetry line according to the actual situation of multibeam bathymetry coverage width, measurement length and overlap rate. Firstly, this paper uses the geometric analysis of the coverage width in relation to the slope angle  and seawater depth , establishes the multibeam bathymetry coverage width and overlap rate model, and obtains the results of the coverage width and overlap rate in the specified cases by using python. Secondly, on this basis, a new condition of line direction angle  is introduced to establish a multibeam bathymetry coverage width model based on line direction, and the coverage widths under different line directions are obtained by using pyhon, and the analytical results show that the coverage widths and seawater depths are positively correlated with each other under the main oblique measurement direction. Finally, considering the influence of the minimum coverage area, the range of overlap rate and other constraints, the objective function of the shortest survey line length is established under the oblique measurement direction, and the shortest survey line program is obtained based on the genetic algorithm solution. The model constructed in this paper can provide a new idea in the field of nautical miles surveying and mapping.