This is a repo including all matlab codes, images and our paper for the Problem B in 2023 CUMCM. Although this is our first time to compete in such a modeling contest, we're lucky to win a second prize in Shanghai competition area.
The pdf file for the problem B can be found here.
The problem is broken into four subproblems, which are listed below
- Establish a mathematical model for the coverage width of multi-beam bathymetry and the overlap rate between adjacent strips.
- Establish a mathematical model of the multi-beam bathymetry coverage width for a given direction
$\beta$ and a given rectangle area. - Design a group of measurement line with the shortest length under the given condition of overlap rate.
- Design measurement line for a given sea water depth data in Excel.
The matlab codes in the file matlab_code correspond to the above subproblems respectively.
The code "P_4.m" is incomplete.