Calibration of a Terrestrial Laser Scanner - Institute of Geodesy and ...
Calibration of a Terrestrial Laser Scanner - Institute of Geodesy and ... Calibration of a Terrestrial Laser Scanner - Institute of Geodesy and ...
64 3. Calibration of Terrestrial Laser ScannerTable 3.14: Error of the horizontal axis derived by measurements in two faces to targets installed at different verticalangles.Setup Point Number Vertical Anglev [°] Error of Horizontal Axis i [°]1 1 15 -0.0832 64 -0.0643 86 -0.0484 112 0.0515 140 0.0016 164 0.0052 1 54 0.0342 72 0.0043 81 -0.0524 114 0.0865 145 0.067pecially regarding the eccentricity. A conceivable eccentricity may influence the interpretation significantly.The experimental setup has to be improved so that with different constant vertical directions and growingranges, the investigation has to be repeated.The setup for the examination of the collimation axis mayprovide some indications, with the difference that the lines of sight do not run horizontally but vertically.3.5 Non-Instrumental ErrorsLaser scanning technology is based on performing measurements on various kinds of objects.Since theuse of prisms isnot necessary, nor recommended, the distances to be measured are affected by severalparameters, such as the intensity of the reflected laser beam, the angle of incidence, surface properties,e.g.colour and roughness, multipath, speckle effects, etc. In the following, some of these parameters arediscussed and investigated.3.5.1 Intensity of Laser BeamThe intensity of the reflected laser beam is of importance since the amplitude of the received signal iscorrelated with the quality of the detecting range. The better the signal-to-noise ratio, the better the deter¬mination of the distance. The intensity (I) is influenced by three parameters:• the range d(I~jp),• the reflectivity of the object, and• the angleof incidence.Figure 3.37 shows the development of the intensity relative to a maximum. The upper figure indicatesthe relation between the range and the intensity for different reflectivity values. The longer the range andthe lower the reflectivity of the object, the less the intensity. The lower figure presents the intensity of atarget with a reflectivity of 90 % and shows that the intensity also decreases systematically. For example,the intensity line of the target with a reflectivity of 20 % corresponds to the intensity line to a target with areflectivity of 90 % and an anglevalues and low angles of incidence.of incidence of 30 °. Theintensity worsens with respect to low reflectivity
3.5 Non-Instrumental Errors 651 o08&06vic0)I 0402001 008v>c0)I 0402°°0 5 10 15 20 25 30 35 40 45 50range [m]Figure 3.37: Intensity of reflected laser beam. Influence of the reflectivity (top) and influence of the angle of incidence(bottom).The relative intensity values in Figure 3.37 do not match the given reflectivity values of the targets. Upto 5 m, the white target shows a relative intensity of « 93 %, the grey target shows a relative intensity of« 52 % and the dark grey target shows a relative intensity of « 38 %. Thus, the given reflectivity valuesindicate system-related reflectivity values more than absolute reflectivity values.Concerning the intensity of laser light, the speckle effect also has to be considered. Specklesare based onvariations of the intensity of coherent laser light produced by the interference of the diffuse scattered lighton rough surfaces with the incident light.This means the intensity of the reflected laser light can varydepending on the intensity of rough surfaces and can be affected by speckle effects.3.5.2 Angle of IncidenceThe angle of incidence is defined as the angle between the incident laser beam and the tangenton the surfacefrom which the laser beam is reflected. Generally, the angle of incidence can be measured in two directions,horizontally and vertically. An angle of incidence of 90 ° describes a laser beam hittingobjectat a normal.the surface of theThe angle of incidence influences the distances to be measured in two different ways.On one hand, thecenter of reference for the distance is shifted because the footprintof the laser beam varies from a circularform to an elliptical form. On the other hand, the footprint of the laser spot increases and covers a largerarea. The reference point for measuringthe distance is shifted and not well-defined because of the distortionof the footprint. Thus, the distance has a systematic offset leading to a false range between objectand laserscanner. Furthermore, the noise of the distances increases with a decreasing angle of incidence because theintensity of the reflected laser beam decreases and the footprint of the laser beam enlarges.
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64 3. <strong>Calibration</strong> <strong>of</strong> <strong>Terrestrial</strong> <strong>Laser</strong> <strong>Scanner</strong>Table 3.14: Error <strong>of</strong> the horizontal axis derived by measurements in two faces to targets installed at different verticalangles.Setup Point Number Vertical Anglev [°] Error <strong>of</strong> Horizontal Axis i [°]1 1 15 -0.0832 64 -0.0643 86 -0.0484 112 0.0515 140 0.0016 164 0.0052 1 54 0.0342 72 0.0043 81 -0.0524 114 0.0865 145 0.067pecially regarding the eccentricity. A conceivable eccentricity may influence the interpretation significantly.The experimental setup has to be improved so that with different constant vertical directions <strong>and</strong> growingranges, the investigation has to be repeated.The setup for the examination <strong>of</strong> the collimation axis mayprovide some indications, with the difference that the lines <strong>of</strong> sight do not run horizontally but vertically.3.5 Non-Instrumental Errors<strong>Laser</strong> scanning technology is based on performing measurements on various kinds <strong>of</strong> objects.Since theuse <strong>of</strong> prisms isnot necessary, nor recommended, the distances to be measured are affected by severalparameters, such as the intensity <strong>of</strong> the reflected laser beam, the angle <strong>of</strong> incidence, surface properties,e.g.colour <strong>and</strong> roughness, multipath, speckle effects, etc. In the following, some <strong>of</strong> these parameters arediscussed <strong>and</strong> investigated.3.5.1 Intensity <strong>of</strong> <strong>Laser</strong> BeamThe intensity <strong>of</strong> the reflected laser beam is <strong>of</strong> importance since the amplitude <strong>of</strong> the received signal iscorrelated with the quality <strong>of</strong> the detecting range. The better the signal-to-noise ratio, the better the deter¬mination <strong>of</strong> the distance. The intensity (I) is influenced by three parameters:• the range d(I~jp),• the reflectivity <strong>of</strong> the object, <strong>and</strong>• the angle<strong>of</strong> incidence.Figure 3.37 shows the development <strong>of</strong> the intensity relative to a maximum. The upper figure indicatesthe relation between the range <strong>and</strong> the intensity for different reflectivity values. The longer the range <strong>and</strong>the lower the reflectivity <strong>of</strong> the object, the less the intensity. The lower figure presents the intensity <strong>of</strong> atarget with a reflectivity <strong>of</strong> 90 % <strong>and</strong> shows that the intensity also decreases systematically. For example,the intensity line <strong>of</strong> the target with a reflectivity <strong>of</strong> 20 % corresponds to the intensity line to a target with areflectivity <strong>of</strong> 90 % <strong>and</strong> an anglevalues <strong>and</strong> low angles <strong>of</strong> incidence.<strong>of</strong> incidence <strong>of</strong> 30 °. Theintensity worsens with respect to low reflectivity