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 ...
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'itest.3.4 Instrumental Errors 61Horizontal ComponentFirst, the component in the horizontal direction is discussed. The results gained by the two independentsetups are shown in Figure 3.34. The upper figure indicates the deviations <strong>of</strong> the horizontal encoder for thesphere with a diameter <strong>of</strong> 12 cm <strong>and</strong> the lower figure shows the corresponding results for the sphere witha diameter <strong>of</strong> 15 cm. The data points are approximated by a hyperbola based on a least square adjustment[Bronstein <strong>and</strong> Semendjajew, 1999]:y = - +xb (3.12)since the hyperbola approximates the data points sufficiently.The parameter a defines for the gradient<strong>of</strong> the curve <strong>and</strong> the parameter b defines the tw<strong>of</strong>old collimation error. Referringto the aforementionedconsiderations, the eccentricity has to be taken into account for short ranges. The limit <strong>of</strong> the hyperboladescribes the collimation error because the influence <strong>of</strong> the eccentricity is rapidly increasing with the range,cf. Table 3.12.Table 3.13.The homogeneity <strong>of</strong> the results <strong>of</strong> the parameters for the adjusting hyperbolaare shown in0 06sphere diameter: 12cm i i0 050 040 03l\\\• data series 1hyperbola 1data series 2hyperbola 2o~'N0 02
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