Simulation of influence of diameter and other circle parameters on results of incomplete round profile testing

Coordinate measuring technique offers a wide range of possibilities for verifying the quality of a product.Each measurement method has different properties, which predispose it to a certain group of measurements depending on the required measurement uncertainty, dimensions and type of recorded data.However, it should be remembered that the measurement strategy has an equally significant impact on the obtained results.Depending on the size of the objects being tested, research can be conducted on different scales: macro, meso, micro or nanoscale.Each scale requires a different approach and measurement strategy.The article concerns research conducted on the macro-scale, which involves the measurement of geometric features.An example of such a measurement would be a circle and its angular segment, i.e., an arc of varying length expressed in angular measure.Determining the diameter or radius of such a curve is not an easy task in practice and requires collecting a sufficient number of information contained by coordinates of measuring points.The article presents the results of simulated measurements of a 10 mm diameter circle with an ovality deviation.In each case, the full outline (360) and arc segments of different lengths were evaluated.For a circle with an ovality deviation, three characteristic cases of the location of the extreme points of the circle outline can be distinguished.In the first case, the arc position corresponds to the outline peak, in the second to the valley, and, in the third, it lies between the two previous cases, the most characteristic being the intermediate position.The simulation results are presented for four reference circles (LSCI, MZCI, MICI, and MCCI).