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MarQR technology for measuring relative displacements of building structure elements with regard to joints and cracks

Marek Woźniak
Marek Woźniak
 oraz 
Krzysztof Woźniak
Krzysztof Woźniak
   | 26 cze 2020
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Article Category: Original Article
Data publikacji: 26 cze 2020
Zakres stron: 33 - 40
Otrzymano: 23 sie 2019
Przyjęty: 21 maj 2020
DOI: https://doi.org/10.2478/rgg-2020-0005
Słowa kluczowe
© 2020 Marek Woźniak et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1

Different measurement solutions: (a) simple ‘crackmeter’ (source: www.avongard.com), (b) measurement solution of SHM-X company (source: www.shmsystem.pl), (c) electronic extensometers in a 3D measurement system and (d) SisGeo linear extensometer (source: www.sisgeo.com).
Different measurement solutions: (a) simple ‘crackmeter’ (source: www.avongard.com), (b) measurement solution of SHM-X company (source: www.shmsystem.pl), (c) electronic extensometers in a 3D measurement system and (d) SisGeo linear extensometer (source: www.sisgeo.com).

Figure 2

Block diagram of the procedure determining displacement parameters
Block diagram of the procedure determining displacement parameters

Figure 3

Pattern image used for calibration
Pattern image used for calibration

Figure 4

An example of an image used for camera calibration: (a) original image, (b) image with detected and numbered dots and (c) image with residual error and scale in pixels
An example of an image used for camera calibration: (a) original image, (b) image with detected and numbered dots and (c) image with residual error and scale in pixels

Figure 5

QR codes with coded text information: (a) ‘MQR: N:00001 S:50.00’ (marker number: 00001; size: 50.00 mm × 50.00 mm) and (b) ‘MQR: N:00002 S:50.00’ (marker number: 00002; size: 50.00 mm × 50.00 mm).
QR codes with coded text information: (a) ‘MQR: N:00001 S:50.00’ (marker number: 00001; size: 50.00 mm × 50.00 mm) and (b) ‘MQR: N:00002 S:50.00’ (marker number: 00002; size: 50.00 mm × 50.00 mm).

Figure 6

Illustration of geometric transformations made to set down NMI
Illustration of geometric transformations made to set down NMI

Figure 7

Diagram of a geometric system in which markers were photographed
Diagram of a geometric system in which markers were photographed

Figure 8

Distribution of a probability density function concerning determined mutual position values of markers, based on photos taken for Case A (blue) and Case B (orange)
Distribution of a probability density function concerning determined mutual position values of markers, based on photos taken for Case A (blue) and Case B (orange)

Figure 9

Distribution of a probability density function concerning the values determined for mutual positions of markers, based on photos taken for Case C
Distribution of a probability density function concerning the values determined for mutual positions of markers, based on photos taken for Case C

Figure 10

Distribution of a probability density function for determining distances for Case C
Distribution of a probability density function for determining distances for Case C

Figure 11

Diagram of a geometric system in which the photos of markers were taken (Case C).
Diagram of a geometric system in which the photos of markers were taken (Case C).

Case A (number of pictures: 42; number of analysed pairs of pictures: 439)

Average Standard deviation Minimum Maximum
Tx [mm] 110.852 0.020 110.813 110.917
Ty [mm] −1.999 0.008 −2.024 −1.978
Tz [mm] 2.220 0.028 2.150 2.291
Rx [deg] −0.014 0.011 −0.050 0.018
Ry [deg] −0.057 0.023 −0.121 −0.010
Rz [deg] 0.227 0.006 0.215 0.240

Case C (number of photos: 36; number of photo pairs: 160)

Average Standard deviation Minimum Maximum
Tx [mm] 90.999 0.027 90.921 91.059
Ty [mm] −12.118 0.025 −12.184 −12.060
Tz [mm] −78.360 0.028 −78.454 −78.306
Rx [deg] −2.636 0.017 −2.680 −2.593
Ry [deg] 89.827 0.019 89.776 89.872
Rz [deg] −6.549 0.007 −6.572 −6.533
Distance [mm] 120.698 0.020 120.645 120.760

Case B (number of pictures: 44; number of analysed pairs of pictures: 467)

Average Standard deviation Minimum Maximum
Tx [mm] 110.839 0.010 110.811 110.870
Ty [mm] −1.982 0.011 −2.009 −1.946
Tz [mm] 2.233 0.022 2.172 2.291
Rx [deg] −0.005 0.010 −0.037 0.019
Ry [deg] −0.072 0.018 −0.114 −0.013
Rz [deg] 0.230 0.005 0.214 0.243
eISSN:
2391-8152
Język:
Angielski
Częstotliwość wydawania:
Volume Open
Dziedziny czasopisma:
Computer Sciences, other, Geosciences, Geodesy, Cartography and Photogrammetry
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