Finding Geometry of Two Micrometers Using Affine Transformation

Abstract

A significant part of Industry 4.0 is collecting data during manufacturing and optimizing production, and prolonging the machine lifetime. In our case, we propose to minimize the depth of cut on CNC to prolong cylinder lifetime in a rolling mill. Currently used measuring methods (precise template, clamp micrometer) without feedback are replaced with two 2-D micrometers. In our solution, we directly clamped the measuring head containing two micrometers on CNC's linear guidance. We propose a thin slice of metal (calibration template) with specific geometry designed for ongoing calibration in each cylinder's measuring cycle.The article's primary goal is to introduce a novel method of precisely processing data from both micrometers and one relative position (axis X, Z) given by CNCs linear guidance. Our team verified the Calibration Template's (CT) real profile on a Coordinate Measuring Machine (CMM).All horizontal sections of the CT are selected from measured data and fitted to the CT's corresponding section. All sections are replaced with landmarks to find the optimal transformation between both micrometer's spaces in the next step. Then we apply the found micrometer's geometry on raw data to compare the resulting CT's profile against the profile from CMM.