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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".
Various software products for the simulation of industrial X-ray radiography have been developed in recent years (e.g., aRTist 2, CIVA CT, Scorpius XLab, SimCT, Wilcore) and their application potential has been shown in numerous works. However, full systematic approaches to characterise a specific CT system for these simulation software products to obtain a truthful digital twin are still missing. In this contribution, we want to present two approaches to obtain realistic grey values in X-ray projections in aRTist 2 simulations based on measured projections. In aRTist 2, the displayed grey value of a pixel is based on the energy density incident on that pixel.
The energy density is calculated based on the X-ray tube spectrum, the attenuation between source and detector as well as an energy-dependent sensitivity curve of the detector. The first approach presented in this contribution uses the sensitivity curve as a free modelling parameter. We measured the signal response at different thicknesses of Al EN-AW6082 at different tube voltages (i.e., different tube spectra). We then regarded the grey values displayed by these projections as a data regression respectively an optimisation problem and obtained the sensitivity curve that is best able to reproduce the measured behaviour in aRTist 2. The resulting sensitivity curve does not necessarily hold physical meaning but is able to simulate the real system behaviour in the simulation software.
The second approach presented in this contribution is to estimate the sensitivity curve based on assumptions about the characteristics of the scintillation detector (e.g., scintillator material, scintillator thickness and signal processing characteristics). For this approach, a linear response function (linear relationship between the deposited energy per pixel and the resulting grey value) is assumed. If the detector characteristics, which affect the simulated deposited energy, are properly modelled, the slope and offset of the response function to match the measured grey values should be the same for different tube spectra. As the offset is constant and given by the grey values measured at no incident radiation, the slope is the remaining parameter to evaluate the success of the detector modelling. We therefore adapted the detector characteristics by changing the detector setup until the slope was nearly the same for all measured tube spectra. We are aware that the resulting parameters of the scintillator material and thickness might not be the real ones, but with those modelling parameters we are able to simulate realistic grey values in aRTist 2. Both of those approaches could potentially be a step forward to a full systematic approach for a digital twin of a real CT system in aRTist 2.
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).
A software toolbox is introduced that addresses several needs common to computed tomography (CT). Built for the WIPANO CTSimU project to serve as the reference implementation for its image processing and evaluation tasks, it provides a Python 3 interface that is adaptable to many conceivable applications. Foremost, the toolbox features a pipeline architecture for sequential 2D image processing tasks, such as flat field corrections and image binning, and enables the user to create their own processing modules. Beyond that, it provides means to measure line profiles and image quality assessment algorithms to calculate modulation transfer functions (MTF) or to determine the interpolated basic spatial resolution (iSRb) using a duplex wire image. It can also be used to calculate projection matrices for the reconstruction of scans with arbitrary industrial CT geometries and trajectories. The CTSimU project defined a framework of projection- and volume-based test scenarios for the qualification of radiographic simulation software towards its use in dimensional metrology. The toolbox implements the necessary evaluation routines and generates reports for all projection-based 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.
An important focus of research in Industrial X-ray Computed Tomography (CT) is to determine the task-specific measurement uncertainty of CT measurements numerically by using simulations. For this, all relevant influence factors need to be identified and quantified. It is known, for example, that geometrical misalignments of the detector lead to measurement deviations if the reconstruction does not consider these misalignments. This contribution uses computer simulation of CT data to investigate the influence of geometrical misalignments of the detector on several measurands found in typical measurements tasks in the industry. A newly developed test specimen with a broad variety of features is used for this study. Angular and positional detector deviations are systematically introduced into the simulations and deliberately left uncompensated during the CT reconstruction. The resulting measurement deviations are shown and discussed.
This contribution presents a set of largely novel reference standards specially designed for testing different important physical effects and functionalities of radiography-based computed tomography (CT) simulation software. These standards were developed within the scope of the German cooperation project “CTSimU – Radiographic Computed Tomography Simulation for Measurement Uncertainty Evaluation” [1] and serve as tools for the basic qualification of the sufficient physical correctness and required features of simulation software of CT-based coordinate measurement systems (CMSs) via the analyses either of 2D projection images only or of full CT scans. The results serve as input to the German standardisation committee for the development of a new national VDI/VDE guideline in the series VDI/VDE 2630 dealing with the basic qualification aspect of CT simulation software and shall lay ground for the measurement uncertainty determination of dimensional measurements using CT.
Die Entwicklung von Werkzeugen zur realitätsnahen Nachbildung eines industriellen CT-Systems in einer Simulationssoftware ist derzeit Hauptaufgabe des WIPANO Forschungsprojektes CTSimU2 Realistische Simulation realer Röntgencomputertomografie - Systeme mit basisqualifizierter Simulationssoftware. Als Voraussetzung dienen dabei Simulationssoftwares, die durch das Testframework aus dem Vorprojekt CTSimU1 basisqualifiziert wurden. Das Testframework testet die hinreichende physikalische Korrektheit und Funktionalität einer Simulationssoftware (Basisqualifizierung der Software). Für eine realitätsnahe Nachbildung ist nicht nur die Güte der Simulationssoftware, sondern insbesondere die Güte der Parametrisierung des realen CT-Systems in der Simulationssoftware ausschlaggebend. Dabei kann das Vorgehen der Parametrisierung in vier Schritte unterteilt werden: die Datenaufnahme am realen CT-System (Schritt 1), die Auswertung der aufgenommenen Daten für die Generierung allgemeiner Parameterangaben (Schritt 2), die Übertragung der Parameter in die spezifischen Simulationssoftwares (Schritt 3) und die Validierung der resultierenden Simulationsparameter durch einen geeigneten Test (Schritt 4). Ziel des Projektes ist es daher neben der Erarbeitung eines Werkzeugkastens mit allgemeinen Methoden zur Datenaufnahme und Auswertung der Daten, die Entwicklung eines Tests, auf dessen Basis die ausreichend korrekte Simulation einer realen Anlage beurteilt werden kann. Die erarbeiteten Ergebnisse sollen wie bereits im Vorprojekt CTSimU1 in einen Richtlinienentwurf für die Richtlinienreihe VDI/VDE 2630 übertragen werden. Dieser Beitrag soll einen Überblick über das Projekt und die ersten Ergebnisse geben.
Da das Recycling von tantalhaltigen Post-Consumer-Abfällen praktisch nicht existiert, stellen metallurgische Reststoffe eine äußerst wichtige Rohstoffquelle für das Tantalrecycling dar. Die meisten Zinnerze enthalten von Natur aus erhebliche Mengen an Refraktärmetallen. Diese Elemente werden in den Schlacken der pyrometallurgischen Primärzinngewinnung angereichert. Aufgrund ihrer vergleichsweise hohen Wertstoffkonzentration und ihrer Funktion als zusätzlicher Schlackenbildner stellen diese Schlacken einen wertvollen Rohstoff für die Verhüttung tantalhaltiger Reststoffe dar. In der vorliegenden Arbeit wird ein existierendes Verfahren zur Tantalrückgewinnung diskutiert, dem hauptsächlich pyrometallurgische Rückstände geringer Wertstoffkonzentration als Einsatzstoff dienen. Mit Hilfe des Verfahrens sollte dasoxidisch vorliegende Tantal vollständig reduziert und in der Metallphase angereichert werden. Weiterhin sollte vermieden werden, dass unerwünschte Elemente wie Titan in die Metallphase überführt werden. Ziel der Untersuchung war es, die ablaufenden Reduktionsprozesse besser zu verstehen, um so Ansätze für die Prozessoptimierung identifizieren zu können.
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.