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The lack of traceability to meter of X-ray Computed Tomography (CT) measurements still hinders a more extensive acceptance of CT in coordinate metrology and industry. To ensure traceable, reliable, and accurate measurements, the determination of the task-specific measurement uncertainty is necessary. The German guideline VDI/VDE 2630 part 2.1 describes a procedure to determine the measurement uncertainty for CT experimentally by conducting several repeated measurements with a calibrated test specimen. However, this experimental procedure is cost and effort intensive. Therefore, the simulation of dimensional measurement tasks conducted with X-ray computed tomography can close these drawbacks. Additionally, recent developments towards a resource and cost-efficient production (“smart factory”) motivate the need for a corresponding numerical model of a CT system (“digital twin”) as well. As there is no standardized procedure to determine the measurement uncertainty of a CT system by simulation at the moment, the project series CTSimU was initiated, aiming at this gap. Concretely, the goal is the development of a procedure to determine the measurement uncertainty numerically by radiographic simulation. The first project (2019-2022), "Radiographic Computed Tomography Simulation for Measurement Uncertainty Evaluation - CTSimU" developed a framework to qualify a radiographic simulation software concerning the correct simulation of physical laws and functionalities. The most important outcome was a draft for a new guideline VDI/VDE 2630 part 2.2, which is currently under discussion in the VDI/VDE committee. The follow-up project CTSimU2 "Realistic Simulation of real CT systems with a basic-qualified Simulation Software" will deal with building and characterizing a digital replica of a specific real-world CT system. The two main targets of this project will be a toolbox including methods and procedures to configure a realistic CT system simulation and to develop tests to check if this replica is sufficient enough. The result will be a draft for a follow-up VDI/VDE guideline proposing standardized procedures to determine a CT system's corresponding characteristics and test the simulation (copy) of a real-world CT system which we call a "digital twin".
The interest in using computer simulations of dimensional x-ray computed tomography (dXCT) for various metrological purposes—such as measurement planning, performance prediction, performance optimisation and, finally, measurement uncertainty estimation—is increasing along with the ever-growing demand for more reliable measurements with dXCT. However, before a piece of simulation software can be used for tasks related to coordinate metrology, it has to be ensured that it is able to simulate physical laws, characteristic effects and basic CT system functionalities correctly and with sufficient accuracy. In short, the software must be qualified for dimensional metrology tasks. As one part of such a qualification process, a method is presented here for determining conformity intervals of 2D tests (projection-based tests) based on 3D tests (testing based on dimensional evaluations in a reconstructed volume) for the assessment of dXCT simulation software. The method consists of varying relevant parameter values in order to verify their influence on 3D measurement results. The results of the 3D tests with varied parameter values are then transferred to the quantities tested in the 2D tests and used as the basis for determining conformity intervals. Two approaches are applied for determining whether or not a variation of a parameter value is significant: (a) statistical and (b) heuristic. Two examples are presented, each based on simulated images, which show the application of the two different approaches for determining conformity intervals for the results of the 2D tests.
The ability of industrial X-ray computed tomography (CT) to scan an object with several internal and external features at once causes increasing adoption in dimensional metrology. In order to evaluate the quality of a measurement value, the task-specific measurement uncertainty has to be determined. Currently, VDI/VDE 2630 part 2.1 gives a guideline to determine the uncertainty of CT measurements experimentally by conducting repeated measurements. This is costly and time-consuming. Thus, the aim is to determine the task-specific measurement uncertainty numerically by simulations (e. g. according to the guide to expression of uncertainty in measurement (GUM) Supplement 1). To achieve that, a digital twin is necessary. This contribution presents a simple first approach how a digital twin can be built. In order to evaluate this approach, a study comparing measurements and simulations of different real CT systems was carried out by determining the differences between the measurement results of the digital twin and of the measurement results of the real-world CT systems. The results have shown a moderate agreement between real and simulated data. To improve on this aspect, a standardized method to characterize CT systems and methods to implement CT parameters into the simulation with sufficient accuracy will be developed.
Die industrielle Röntgen-Computertomografie (CT) etabliert sich für die Anwendung in der dimensionellen Messtechnik. Sie bietet als zerstörungsfreies Messverfahren das Potential, sowohl innen- als auch außenliegende Merkmale holistisch zu erfassen. Für die Bestimmung der Güte eines Messwerts muss die dem Messwert zugeordnete Messunsicherheit ermittelt werden. Dabei kann, nach derzeitigem Stand der Technik und Normung, die aufgabenspezifische Messunsicherheit nach VDI/VDE 2630 Blatt 2.1 nur unter hohem Aufwand mit einer Vielzahl an experimentellen Wiederholmessungen ermittelt werden. Ziel diverser Forschungs-projekte zu diesem Thema ist es daher, eine numerische Messunsicherheitsbestimmung zu erreichen. Dafür ist es notwendig, alle signifikanten Einflussgrößen zu erfassen, deren Unsicherheitsbeiträge zu bestimmen und zu bewerten. In diesem Beitrag wird der Einfluss des Bildrauschens auf verschiedene dimensionelle Messgrößen simulativ untersucht. Mithilfe eines prismatischen Prüfkörpers, der eine Vielzahl an Geometrieelementen aufweist, werden verschiedene Messgrößen unterschiedlicher Komplexität betrachtet. Ziel ist es, für diese Messgrößen zu testen, wie diese auf das Bildrauschen reagieren. Dieses wird dabei durch das Signal-Rausch-Verhältnis (SNR) der Projektionsgrauwerte beschrieben und variiert. Es werden Wiederholsimulationen durchgeführt, damit eine statistische Aussage über die Verteilung der Messwerte möglich ist und der Einfluss des Rauschens auf verschiedene Messgrößen individuell beurteilt werden kann. Das Simulationsszenario wird so gestaltet, dass lediglich das Bildrauschen Einfluss auf die Messung hat. Die berechneten Verteilungsbreiten lassen mit sinkendem SNR eine deutliche Zunahme erkennen, insbesondere bei der Bestimmung von Formabweichungen. Simuliert wird mit der Software aRTist 2.10 (BAM).