Algorithms for Automatic Determination of The Width and Sickle Shape of a Metal Sheet

The problem of constructing a mathematical model of a sheet of metal in the process of its movement along a roller is considered. A sheet of metal after it is rolled on the mill can change the geometry of the edges, as a result of which the phenomenon of sickle shape may occur. Traditionally, the sickle shape and width of the sheet are measured manually. To automate the process of measuring width and sickle shape, a system based on a set of optical sensors (profilometers) is proposed. Sensor data processing must be performed in real time. The difficulties of estimating these parameters based on these data are associated with rotations and transverse displacements in the process of moving the sheet along the roller. The issues of constructing a general profile based on the data of separate measurements from a system containing six profilometers are considered, as well as a description of algorithms for finding the angle of rotation, eliminating transverse displacements, and estimating the sickle shape and width of a sheet of metal.