Research on Multibeam Line Planning Based on Affine Transformation and Softmax Improved K-Means Clustering Analysis

The planning of exploration route and the selection of strip width have an important influence on marine survey and play a vital role in the efficiency of multi-beam sounding. This article establishes a single
$\beta$
Calculate the coverage width and overlap rate between adjacent bands of a multi beam bathymetric system using a three-dimensional model of angles. Based on
$D_{x}\alpha$
as well as
$\theta$
Calculate the coverage width using the formula
$D_{x}=70-xtan\alpha$
to calculate the depth of seawater,
$\eta=1-\frac{d}{(w_{i-1}+w_{i})/2}$
to calculate coverage. Calculate the coverage width at AAA to be 242.98696m, including other seawater depths, coverage widths, and overlap rates, derive the coverage width W and the angle between the opening angle, slope
$\alpha$
, and line direction of the multi beam transducer using a three-dimensional geometric model
$\beta$
the relationship between the distance x between the ship and the center point of the sea area
$\mathrm{w}= \mathrm{f}(\theta_{,}\alpha_{,}\beta_{,}\mathrm{x})$
Just bring in the provided data for calculation. Firstly,
$D_{\mathrm{y}}$
is introduced as the height difference between the intersection points of the detection beam and the seabed slope, and FFF is represented as the difference between the depth
$D_{y}$
and at the center point of the sea area. Next, by converting the angle within the plane, the angle between the straight line where the driving direction is located and the normal direction of the seabed slope projected on the horizontal plane can be calculated. Furthermore, by comparing this angle with the angle
$\alpha$
the trigonometric function relationship can be used to determine the relationship between
$D_{\mathrm{y}}$
and
$\beta$
, the expression can be used to obtain the corresponding relationship solution.