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

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

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3.4 Instrumental Errors 51values <strong>of</strong> 0.2 mm <strong>and</strong> 0.3 mm, respectively. Thus, this deviation between the real <strong>and</strong> ideal center points isnearly in the same order as the precision, i.e. st<strong>and</strong>ard deviation, <strong>of</strong> the ideal <strong>of</strong>fset. In summary,rotation center fits the ideal rotation center.the real14 98<strong>of</strong> the local sc<strong>and</strong>atapoints14 97-adjusting cirlcecentre point (real)centre point (ideal)14 9614 9514 94£.14 9314 9214 9114 9014 89776 7 77 7 78 7 79 7 80 7 81 7 82 7 83 7 84 7 85 7 86y[m]Figure 3.26: Adjusting circle: The rotation center <strong>of</strong> the laser scanner fits to the ideal center <strong>and</strong> the data points fit tothe adjusting circle.Eccentricity<strong>of</strong> Scan CenterThe real physicalcenter <strong>of</strong> an instrument has to coincide to its idealcenter, otherwise <strong>of</strong>fset parametershave to be taken into account. Disregarding this concept leads to an eccentricity <strong>of</strong> the real center, whichcauses a constant <strong>of</strong>fset.Considering that the laser scanner captures the 3D environment, the eccentricity<strong>of</strong> the scan center has to be determined in three directions: x, y <strong>and</strong> z.Knowing the eccentricity easesthe use <strong>of</strong> the laser scanner for repeated measurements because this sensor can be used analogous to atotal station.Contrarily if the eccentricity is not known or not determinable, the laser scanner has to beoriented completely in 3D during the measurement procedure. Normally, this is the common practice inlaser scanning.However, there are some applications for which the knowledge <strong>of</strong> the eccentricity <strong>of</strong> thescan center is <strong>of</strong> advantage. In such applications, in-situ calibration is rarely possible <strong>and</strong> the eccentricity is<strong>of</strong> importance, e.g. deformation measurements, pr<strong>of</strong>ile measurements <strong>of</strong> tunnels, scanningdefined by a lack <strong>of</strong> space. Thus, the knowledge <strong>of</strong> the eccentricity is not essential but helpful.The eccentricity <strong>of</strong> the scan center can be defined by three parameters: a vertical <strong>of</strong>fset in heighthorizontal <strong>of</strong>fsets. The vertical <strong>of</strong>fset is defined by the height<strong>of</strong> environments<strong>and</strong> twodifference between the internal scan center<strong>and</strong> the center <strong>of</strong> reference <strong>and</strong> the horizontal <strong>of</strong>fsets are defined by the two horizontal differences betweenthe internal scan center <strong>and</strong> the center <strong>of</strong> reference. The center <strong>of</strong> reference is represented by a well-knowncontrol point on which the laser scanner can be mounted.The calibration <strong>of</strong> the eccentricity was performed by means <strong>of</strong> a 3D coordinate transformation (six para¬meter transformation without a scale factor).The laser scanner was set up on a control point defining thecenter <strong>of</strong> reference.Several surrounding control points represented by sphereswere scanned. The centerpoints <strong>of</strong> the spheres were calculated by an adjustment procedure using the 'fix' adjustment.derived center points <strong>of</strong> the spheres <strong>and</strong> the position <strong>of</strong> the laser scanner as the originBased on the

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