Have a personal or library account? Click to login
MarQR technology for measuring relative displacements of building structure elements with regard to joints and cracks Cover

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

Reports on Geodesy and Geoinformatics
Volume 109 (2020): Issue 1 (June 2020)
By: Marek Woźniak and  Krzysztof Woźniak  
Open Access
|Jun 2020

Figures & Tables

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)

AverageStandard deviationMinimumMaximum
Tx [mm]110.8520.020110.813110.917
Ty [mm]−1.9990.008−2.024−1.978
Tz [mm]2.2200.0282.1502.291
Rx [deg]−0.0140.011−0.0500.018
Ry [deg]−0.0570.023−0.121−0.010
Rz [deg]0.2270.0060.2150.240

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

AverageStandard deviationMinimumMaximum
Tx [mm]90.9990.02790.92191.059
Ty [mm]−12.1180.025−12.184−12.060
Tz [mm]−78.3600.028−78.454−78.306
Rx [deg]−2.6360.017−2.680−2.593
Ry [deg]89.8270.01989.77689.872
Rz [deg]−6.5490.007−6.572−6.533
Distance [mm]120.6980.020120.645120.760

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

AverageStandard deviationMinimumMaximum
Tx [mm]110.8390.010110.811110.870
Ty [mm]−1.9820.011−2.009−1.946
Tz [mm]2.2330.0222.1722.291
Rx [deg]−0.0050.010−0.0370.019
Ry [deg]−0.0720.018−0.114−0.013
Rz [deg]0.2300.0050.2140.243
DOI: https://doi.org/10.2478/rgg-2020-0005 | Journal eISSN: 2391-8152 | Journal ISSN: 0867-3179
Journal RSS Feed
Language: English
Page range: 33 - 40
Submitted on: Aug 23, 2019
|
Accepted on: May 21, 2020
|
Published on: Jun 26, 2020
Published by: Warsaw University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
crackmeter,
monitoring,
QR code,
photogrammetry,
computer vision
Related subjects:
Computer sciences,
Computer sciences, other,
Geosciences,
Geodesy,
Cartography and photogrammetry,
Geosciences, other

© 2020 Marek Woźniak, Krzysztof Woźniak, published by Warsaw University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Previous articleVolume 109 (2020): Issue 1 (June 2020)