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1. Initial problem Drawings with metal lines are used in some applications. When it is necessary to produce a digital copy of such a drawing, a special scanner is used. The working tool of the scanner is a thin metal tip with a cross-section on the order of one pixel, which is moved by a two-coordinate actuator. All of the metal lines of the drawing are grouped according to some criteria and connected to one pole of a power supply, while the scanner tip is connected to the other pole. As the tip comes into close contact with a metal line during the scanning process, there is an electric pulse that is registered by the computer. However, both the contact tip and the lines are not wear-proof, and multiple firm contacts cause them to deteriorate. In addition, the tip becomes bent, resulting in coordinates being incorrectly registered by the computer. If the tip were thicker, it would become less bent. However, this would result in a decrease in the scanning resolution, which should instead be increased, even when scanning with a thin tip. Thus, it was necessary to eliminate these drawbacks while preserving the electrical scanning principle. Electrical discharges in the air also contribute to tip and line deterioration.
Figure 1. Technical system under consideration
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