Abstract
Multibeam bathymetric system is an underwater terrain measurement technology with high efficiency, high accuracy and high resolution. Based on the multibeam bathymetric system, this paper establishes an ideal geometric model and an isobath iterative model. Through the physical method of ideal model, the actual physical problem of multibeam sounding is abstracted into a geometric model about a conic curve, and under the constraint of overlap rate, the coordinates of the next survey line are iterated according to the current depth to solve the optimal set of survey lines. First, the seawater depths, strip coverage widths, and overlap rates with the previous line are calculated for lines at different distances from the center point. Then, the angle between the direction of the survey line and the projection of the normal direction of the seafloor slope on the horizontal plane is introduced to solve for the current coverage width of the survey line. Again, the optimal set of survey lines is solved under the constraint of the overlap rate. Finally, Sobel edge detection is used to divide the surface of the seafloor terrain into multiple planes with defined slope angles to solve the optimal line set for the entire seafloor surface. The structure of the proposed mathematical model is clear and simple, which is in line with the actual situation.
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