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Calibration of a Terrestrial Laser Scanner - Institute of Geodesy and ...

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44 3. <strong>Calibration</strong> <strong>of</strong> <strong>Terrestrial</strong> <strong>Laser</strong> <strong>Scanner</strong>because <strong>of</strong> the short ranges between 1 m <strong>and</strong> 20 m due to the limited range to scan spheres, cf. Section 3.2.2.Disregarding the first three meters <strong>and</strong> averaging the angular values, a mean value <strong>and</strong> the precision <strong>of</strong> themean value to assess the accuracy <strong>of</strong> the angle measurement system can also be providedin the horizontal<strong>and</strong> vertical directions. However, the linear alignment <strong>of</strong> the calibration track line is not well-suited fora 3D coordinate transformation, but provides an independent method for the investigation <strong>of</strong> the anglemeasurement system.Thus, the mean values obtained by the two different experimental setups can be compared. The specifica¬tions <strong>of</strong> the manufacturer state that the accuracy for the angle measurement system <strong>of</strong> both the horizontal<strong>and</strong> the vertical encoders are within 0.02 °(RMS).3.3.1 Horizontal EncoderThe precision <strong>of</strong> the horizontal encoder <strong>of</strong> the angle measurement system is shown in Table 3.3. The preci¬sion <strong>of</strong> a single measurement (ss) <strong>and</strong> the precision <strong>of</strong> the mean value (sm) are also given. The precision <strong>of</strong>a single measurement shows good values for all scanning modes <strong>and</strong> can be assessed as sufficiently high.These values were derived by ten repeated measurements within the same experimental setup. The rangeto the sphere was approximately 3 m. The decreasing precision from the scanning mode 'superhigh' to'middle' conforms with an increasing range to the sphere in the scanning mode 'superhigh', i.e. the preci¬sion decreases with increasing ranges. The quality <strong>and</strong> the quantity <strong>of</strong> the point cloud worsen with eitherthe rangeor the scanning resolution.Table 3.3:Precision for the horizontal encoder <strong>of</strong> the angle measurement system gained by repeated scanning <strong>of</strong> asphere for the scanning modes 'superhigh', 'high'<strong>and</strong> 'middle'.Scanning Mode SS[°] sm[°]superhigh 0.001 0.0004high 0.002 0.0007middle 0.006 0.0020The accuracy <strong>of</strong> the horizontal angle measurement system obtained by the method usingobservation pillars are summarized in Table 3.4. The mean value as well as precisionbased on all 7 x 8 combinations <strong>of</strong> the horizontal angle between two pillars.values <strong>of</strong> the accuracy for the scanning modes 'superhigh', 'high'the results are reasonably.<strong>and</strong> 'middle'. Thethe test field <strong>of</strong><strong>of</strong> the man values areThe table shows equivalentprecision shows thatTable 3.4:Accuracy for the horizontal encoder <strong>of</strong> the angle measurement system obtained by using the test field <strong>of</strong>observation pillars.Scanning Mode Mean Value [°] sm[°]superhigh 0.011 0.002high 0.011 0.002middle 0.008 0.004The residuals transversal to the calibration track line representing the y-axis for assessing the accuracy <strong>of</strong>the angle measurement system are shown in Figure 3.22.In the upper figure, the residuals resulting fromthe coordinate transformation <strong>of</strong> the local scannersystem to the calibration track line system are plottedbased on the scanning modes 'superhigh', 'high' <strong>and</strong> 'middle'. The sphereThe lower figure shows the absolute values <strong>of</strong> the residuals expressed in degrees.all scanning modes nearly the same results can be achieved. The residuals are oscillatingused has a diameter <strong>of</strong> 15 cm.It can be seen that inbetween +2 mm

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