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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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6.2 Static Application: Rock Engineering Applications 117Each free positioning <strong>of</strong> the total station was determined by surveying all four reference points, cf. Figure6.9. The calculation <strong>of</strong> 3D coordinates <strong>of</strong> the object points was carried out in an adjustment.The achievedaccuracy was less than 0.3 mm. The first measurement <strong>of</strong> the object points was used as an initial or referencemeasurement (session 0). Displacementswere calculated by subtractingthat occurred between the initial <strong>and</strong> the «th measurement sessionthe coordinates <strong>of</strong> session i from the initial coordinates <strong>of</strong> session 0. Theresulting accuracy <strong>of</strong> the derived displacements <strong>of</strong> the object points in each coordinate direction (x, y, z)was quantified with less than 0.5 mm. Therefore, the accuracy <strong>of</strong> 3D displacements for each pointi, with respect to session 0, were specified with less than 1 mm.<strong>of</strong> sessionThe object points can also be defined by spheres, instead <strong>of</strong> prisms, attached on the bolts installed, cf.Figure 6.7.Spheres are well-adapted for laser scanning because <strong>of</strong> their attractive properties regardingvisibility <strong>and</strong> deriving center points, cf. Section 3.1.5. Each sphere was scanned <strong>and</strong>, based on the resultingpoint cloud, the coordinates <strong>of</strong> the center point <strong>of</strong> the sphereswere calculated. Thisapproachresults inanaccuracy <strong>of</strong> the center point <strong>of</strong> less than 3 mm, cf. Section 3.6.2. In addition, the center points have tobe referred to the local reference frame. Nevertheless, it is not always possible in practicereference points <strong>and</strong> the object points from the same scanner position.to scan both theFirst, the distances from the laserscanner to the reference points are usually too long to achieve the required accuracy. Second, the referencepoints are not always visible from the position <strong>of</strong> the laser scanner. Looking at Figure 6.9, it can be seen thatthese problems occurred during the surveying work in the laboratory, which required positioning the laserscanner inside the niche. To solve this problem, intermediate reference points were set up temporarily <strong>and</strong>close to the laser scanner using tripods. These reference points were also surveyed bythe total station <strong>and</strong>were included in the local reference frame. The accuracy <strong>of</strong> the position <strong>of</strong> the laser scanner can be specifiedwithin 3 mm. The resulting accuracy <strong>of</strong> the derived displacements5 mm. Consequently, the accuracy <strong>of</strong> 3D displacements for each object pointin one coordinate direction was less thanis within 9 mm.Underst<strong>and</strong>ing the actual rock mass behaviour can be greatly improved if the distribution <strong>of</strong> the displace¬ments along the excavation surface is investigated instead <strong>of</strong> considering the displacements<strong>of</strong> a few dis¬crete points. For that purpose, point clouds representing surfaces scanned at different phases <strong>of</strong> the excava¬tion can be used. Several s<strong>of</strong>tware packages allow for the 3D comparisons <strong>of</strong> pointclouds <strong>and</strong> surfaces. Inthis case study, the s<strong>of</strong>tware Geomagic by Raindrop Geomagic Inc. was used. The generation <strong>of</strong> time-lapsedisplacement maps requires some processing beforeh<strong>and</strong>.First, points representing blunders have to bedetected <strong>and</strong> deleted automatically or manually. Then, the noise is reduced by means <strong>of</strong> a filtering process.This is an essential step as the noise due to the natural limits <strong>of</strong> scanning affects greatly the qualitypoint cloud, by making sharp edges dull <strong>and</strong> making smooth surfaces rough.form arrangement <strong>of</strong> points. Subsequently, the processing<strong>of</strong> theThe result is a more uni¬entails the conversion <strong>of</strong> the initial or referencepoint cloud into a surface model that consists <strong>of</strong> small triangles (TIN, Triangular Irregular Network). Thissurface model represents the reference object that can be further processed, if required, e.g. by deletingnon-contiguous intersecting triangles, filling holes or surface smoothing. Finally,the residuals <strong>of</strong> a test ob¬ject described by a point cloud or a TIN representing the same region at a different time can be computedby comparing this test object with respect to the reference object. This operation is possible onlyobject has been transformed previously into the same reference system as the reference object.if the testAs another possibility, the use <strong>of</strong> the least squares 3D surface <strong>and</strong> curve matching algorithm, developedby [Grun <strong>and</strong> Akca, 2005], may help the interpretation <strong>and</strong> detection <strong>of</strong> surface displacements based on3D point clouds.Therefore, the possible displacements <strong>of</strong> objects, described by 3D point clouds, can becharacterized by a 3D translation vector <strong>and</strong> a 3D rotation vector. Thus, new insightsrock masses can be obtained.into the behaviour <strong>of</strong>

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