Analysis of the applicability of filtration methods for coordinate measurements

¹ Samara National Research University, 34 Moscow Highway, Samara, 443086, Russia
² Perm National Research Polytechnic University, 29 Komsomol pr., Perm, 614990, Russia
³ Yuri Gagarin State Technical University, 77 Politecknicheskaya str., Saratov, 410054, Russia
⁴ Institute of Precision Mechanics and Control of RAS, 24 Working st., Saratov, 410028, Russia

^* Corresponding author: zov20@mail.ru

Abstract

At present, surface metrology solves such important tasks as monitoring the production process and optimizing the exploitation of parts. A significant part of the measurements is performed by a contact method using Coordinate Measuring Machines. One of the important steps in the processing of measurement information is the filtration of the received signal. The existing standards regulate only the processes of measuring roundness and roughness. Therefore, researches on the applicability of filtration methods in the general case for coordinate measurements are relevant. Based on the review presented in the article, the filters that have received the greatest application in other fields of technology are defined by the strategy of their application for coordinate measurements. It is recommended to use the following sequence: elimination of gross errors based on the Grubbs’ test, discrete Fourier transform for revealing systematic errors, elimination of systematic errors from the signal, minimization of the random error with the bilateral Gaussian filter, surface reconstruction after filtering based on inverse Fourier transform. The above example of signal filtering for flatness confirmed the effectiveness of the proposed approach.