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Triangulation geometry 

Triangulation geometry 

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Purpose Investigate the use of two imaging‐based methods – coded pattern projection and laser‐based triangulation – to generate 3D models as input to a rapid prototyping pipeline. Design/methodology/approach Discusses structured lighting technologies as suitable imaging‐based methods. Two approaches, coded‐pattern projection and laser‐based triang...

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... generation of 3D CAD models is usually the first step in a rapid prototyping (RP) system (Chua et al. , 2003; Asiabanpour and Khoshnevis, 2004; Ding et al. , 2004; Li et al. , 2002; Song et al. , 2002). Additionally, CAD modeling is often the most time-consuming part of the entire RP chain (Chua et al. , 2003). Figure 1 depicts the RP process chain and illustrates where CAD modeling fits into this chain. The traditional approach to CAD modeling is through engineering drawings. A designer inputs dimensions and interconnects lines (along with other basic shapes) using CAD software to create a virtual 3D model. This CAD model serves as the starting point of the RP process chain. In this paper, we present an alternative to this CAD modeling through the use of 3D scanning technology known as structured lighting. We specifically explore two methods of structured lighting – coded pattern projection and laser triangulation – as potential approaches. As Figure 1(a) shows, the CAD model is first converted typically into a stereolithography (STL) file and then pre-processed to verify the STL specification and sliced into cross sections. Next, the pre-processed files drive the automated building through technologies such as selective layer sintering, stereolithography, or layered object manufacturing. Finally, the RP chain moves to post-processing, which consists of cleaning to remove excess parts or residual resin, curing to account for pockets of embedded liquids, and finishing to improve aesthetics. Our area of emphasis for this paper in this pipeline is the initial CAD model generation. This initial step requires accurate models of the object of interest that are suitable for the STL files that drive the prototyping process. An emerging method for CAD generation is 3D scanning technology from the field of machine vision. Traditionally, machine vision (also known as computer vision) has not played a major role in manufacturing or prototyping. The introduction of solid-state and low-cost imaging devices however, has led to increased accuracy and faster data acquisition. Thus, imaging-based solutions are becoming attractive to incorporate into RP. Figure 1(b) demonstrates incorporating 3D scanning into the RP chain. Here, we have replaced the CAD modeling step with 3D scanning to generate a model of an existing real-world object. This 3D scanning is similar to coordinate measuring machine (CMM) technologies that capture 3D point measurements of surfaces. CMM are a mature and established technology within current manufacturing environments. The CMMs typically use a touch probe that navigates (either manually or automatically) around the surface of an object collecting data point measurements. The difference of the methods in this paper relative to CCM is that we employ imaging-based methods – specifically structured lighting techniques – rather than the touch-probe methods of CMM. CMM require path planning for probe placement (often a complex process for complicated objects), and the mechanical dynamics of the probe constrain the scan speed of collecting data. Additionally, CMM require the probe to physically touch – or at least come within close proximity to – the surface under measurement. This physical contact is usually not a major issue, but the probe can damage the surface with errors in path planning under certain conditions. Imaging-based approaches, on the other hand, offer potential for faster data collection using solid-state sensors and offer a stand- off approach to measurements, but the drawback is that imaging- based systems currently have reduced accuracy relative to CMM techniques. Fortunately, as semiconductors continue to improve – respective to Moore’s Law – the accuracy of imaging-based scanners will continue to improve as well. Within the past decade, this trend has seen movement from centimeter to sub-millimeter accuracy. We expect this trend to continue. The addition of 3D scanning to the RP process chain enables important capabilities. A situation that might arise in RP is the need to modify an existing part, which may be outdated or have field modifications. With an outdated part, CAD models may not exist or they may no longer be accessible. The original manufacturer of the part may have gone out of business, for example, or the CAD models may have been lost or discarded. With field modifications, a lack sufficient support from the original CAD models becomes a problem. A technician in the field may have found a better way to mount the part by modifying the original design, or damage to the part may require a modification to correct the damage. This modification may not be documented in the CAD archives. Also, a design engineer may seek to introduce a value-added design to an existing part, but the original manufacturer of the part may not be willing to release their internal CAD files for proprietary reasons. The process of 3D scanning overcomes these problems by allowing the creation of a CAD model by scanning the existing object. The potential for imaging-based approaches over more mechanical solutions, i.e. CMM systems, is that imaging scanners offer increased scanning speeds and enable more automation in the scanning process. A CMM touch probe collects only a single data point with each measurement. By contrast, imaging-based scanners collect a set of data points where, the size of the set is dependent on the scanning technology but typically ranges from 256 points to over 100,000 points. These large data sets yield large speed benefits. For increased automation, imaging-based scanners leverage many techniques from the field of computer vision for data registration, integration, and visualization. Although many of these techniques are applicable to both CCM and imaging systems, the natural problem domain is more readily developed with the imaging-based systems. Thus, these computer vision algorithms enhance the automation potential. Imaging-based 3D scanners acquire measurements by capturing images of an object and then reconstructing 3D models from those images. The scanner is positioned at various viewing angles to fully cover each surface of the object, and this ensemble of data sets leads to the reconstructed 3D CAD model. We typically refer to the measurements from 3D scanners as range images where each pixel of such images represent the distance (or depth) from a given scanner location to each of the surface points on the object (Besl, 1989). A classification of various methods for generating 3D data from objects appears in Figure 2 with emphasis on the imaging methods to include subcategories. The most well-known method of 3D range image acquisition is passive triangulation, also known as stereo vision. Stereo vision involves coordinating two cameras to generate depth information about a scene by automatically finding corresponding features in both stereo images. The correspondence problem is ill-posed and therefore leads to either sparse distance measurements or erroneous results caused by mismatches. As an alternative to passive stereo, active stereo systems such as structured lighting systems offer more robust methods of measurement (Bernardini et al. , 1999). (As a side note, some authors use the term active stereo to also refer to the case where two intensity cameras are used – as in our definition of passive stereo – but these cameras are “actively” controlled to either pan or tilt synchronously, or to change their baseline. We mention this definition for clarity as our definition for active stereo uses a single camera with an active light source.) In the next two sections that follow, we discuss in more detail two particular structured lighting methods that are applicable to the RP problem. The first method is a coded-pattern structured lighting system that uses a camera along with a pattern projector. The second method is a laser-based method that also uses a single camera but rather than a pattern project uses a laser for the active light source. For each of these methods, we specifically focus on two commercial products as implementations of these methods. Coded-pattern projection scanners project a known light pattern, or set of coded patterns, onto the surfaces of an object. The light pattern follows the contours and shape of the object. Figure 3 illustrates an example of the projection of a light pattern onto an automotive water pump. Notice that the shape of the pump distorts the pattern as viewed by the camera. In a limited sense, this distortion leads to the recovery of 3D information based on triangulation and projective geometry. The principle of this 3D recovery is through triangulation calculations (Geng, 1996). Figure 4 illustrates this triangulation geometry. When the distance between two points and the angle from each of these points to a third point are known, the coordinate of the third point can be calculated by the following ...

Citations

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Thesis
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In the industry, especially automotive, the most important criterion of quality is the dimensional accordance with specification. Keeping the dimensional tolerances given by the constructor is critical from the reliability and life time point of view. For this reason, an important role in quality control play the coordinate measurements. On the market there are many coordinate measuring machines intended not only to work in the laboratory, but also on the production line. Their manufacturers have developed applications for a very wide range of applications. From small, to measure the precise details, of the size in scale of centimetres until large, having workspaces that allow for the measurements of the whole body of vans. All these machines are characterised by very large accuracies, and in addition, due to the classic, tactile nature of measurement, are relatively easy to validate. For this reason, until recently such machines were the only used in the field of geometrical quality inspection. Their main disadvantage is, however, very little speed and often limited possibility of full automation. Therefore, 100% control by means of measuring machines is impossible in large scale production. For this reason, the role of optical devices grows. Data from German industry, the most representative in terms of development trends, show that about 30% of production enterprises are going to change the current solutions to 3D non-contact optical systems and the trend is rising. Optical measuring devices, particularly those that are based on the image analysis, allow the acquisition of more points than tactile ones. This is due to the fact that single image contains information about a large number of measuring points (> 103), depending on its resolution. In addition, the acquisition of modern cameras and communication interfaces requires just a fractions of a second. This is especially useful when mapping objects with freeform shapes, which by nature cannot be described with single values. Examples of such non-contact digitizing method are presented in Chapter 1. Freeform surfaces are an essential element of such industries as automotive, aerospace or appliances, and the accuracy of their implementation is often a decisive influence on the efficiency and reliability. With the development of multiaxis machining techniques the number of its applications grows. A consequence of this trend is the need for quality control methods. In this paper the focus was mainly on applications of optical 3D reconstruction methods in the industrial quality control. Very rapid expansion is observed in this field because of modern trends in production. In part I, the optical 3D reconstruction methods used in quality control will be presented. After this concise characteristics they are compared, and as a result, the method with the greatest potential for applications will be chosen. Perfect candidate appears to be the laser triangulation method which, thanks to the considerable speed and relatively simple components is used successfully for over thirty years to measure the shape of the products on the production lines. Another advantage is its resistance to external light, which is important to reduce other optical and video solutions. Thanks to the use of monochromatic light can be effectively minimized with the use of optical filters. In the remainder of the work the source of the interference of the laser triangulation are briefly described. From there, one can see that one of the most important disturbances are internal specular reflections that arise while scanning complicated shapes containing highly reflective surfaces. They appear on the triangulation images as multiple light profiles leading to ambiguity. In this case, the 3D model reconstruction is impossible. Because this problem is crucial (it eliminates the triangulation method laser for many parts produced in the metal industry) one can find in the literature several solutions to eliminate the problem of internal reflection. They are briefly characterized in Chapter 4. One of the methods there uses the preliminary scan (pattern) of an object that satisfies the quality criteria, so that the data collected serve as the standard for filtration. Application of non-ideal detail as a golden-template and problems with data synchronization did not allow for the implementation of this concept. It was developed at a time when computer systems were not sufficiently developed to fully exploit it. The wide use of CAD/CAM systems in the modern industry, however, gives new opportunities, so that the use of this approach may be reconsidered. Each product today is manufactured according to the nominal model developed by the designer in the form of a virtual solid model. As applied to quality control, such model can therefore be used as a knowledge base for elimination of gross errors in the process of mapping shape reconstruction. Errors of this type will be in the case of laser triangulation method for example multiple profiles, which formation mechanism is described above. However, it is not clear whether the use the knowledge of nominal object’s shape will allow for its digital reconstruction in the conditions of strong disturbances associated with surface reflectivity. Because this can be regarded as a measurement method, it is also important to proof if the changes do not derogate from its metrological capacity. Based on the above concepts and concerns a thesis has been formulated together with research tasks. Proof of the thesis requires the test implementation of the modified laser triangulation algorithms and analysis of obtained results. The use of the nominal model for 3D measurements requires extra synchronization-related treatments. Studies in this area have shown that for proper operation of the developed concepts, it is necessary to develop a stable positioning method of the object being analysed, as well as the calibration of the measuring system. They have been described in part II. Research section (III) describes the verification of the resulting modification of laser triangulation method. In accordance with the thesis its proof requires both the investigation if a new segmentation algorithm eliminates internal reflections, and improves the accuracy of the scan. The first part was carried out using the two examples that manifest very well internal, specular reflections. The first is the v-block, and the other is a shiny freeform surface. Investigations have confirmed the effectiveness of the algorithm. In the second part it was necessary to designate the measuring uncertainty of triangulation setup. The phenomenon of multiple reflection does not, however, manifests in the standard procedure of uncertainty estimation, that requires multiple measurements of gauge blocks. It would therefore be necessary to use more specialized patterns. These, however, significantly impede research carried out under repeatability conditions. A simplified estimation method of measurement’s uncertainty, has been proposed based on the assumption that the segmentation accuracy is one of the components of the uncertainty budget. The convergence of the results of this estimation method and the classic method, argues that the standard assumptions about the immediate impact of the segmentation accuracy on the uncertainty of the measurements. The results suggest that segmentation algorithm improved the ability to detect light profile and, therefore, also contributed to improving the measurement uncertainty. The last part of the work (IV) summarizes the developed solution and the outcome of the tests.
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The purpose of this research is to investigate imaging-based methods to reconstruct 3D CAD models of real-world objects. The methodology uses structured lighting technologies such as coded-pattern projection and laser-based triangulation to sample 3D points on the surfaces of objects and then to reconstruct these surfaces from the dense point samples. This reverse engineering (RE) research presents reconstruction results for a military tire that is important to tire-soil simulations. The limitations of this approach are the current level of accuracy that imaging-based systems offer relative to more traditional CMM modeling systems. The benefit however is the potential for denser point samples and increased scanning speeds of objects, and with time, the imaging technologies should continue to improve to compete with CMM accuracy. This approach to RE should lead to high fidelity models of manufactured and prototyped components for comparison to the original CAD models and for simulation analysis. We focus this paper on the data collection and view registration problems within the RE pipeline.