Bringing optical metrology to testing and inspection activities in civil engineering


ACTA IMEKO 
ISSN: 2221-870X 
September 2021, Volume 10, Number 3, 108 - 116 

 

ACTA IMEKO | www.imeko.org September 2021 | Volume 10 | Number 3 | 108 

Bringing optical metrology to testing and inspection activities 
in civil engineering 

Luís Martins1, Álvaro Ribeiro1, Maria do Céu Almeida1, João Alves e Sousa2 

1 LNEC - National Laboratory for Civil Engineering, Avenida do Brasil 101, 1700-066 Lisbon, Portugal 
2 IPQ - Portuguese Institute for Quality, Rua António Gião 2, 2829-513 Caparica, Portugal 

 

 

Section: RESEARCH PAPER  

Keywords: Optical metrology; civil engineering; testing; inspection 

Citation: Luis Martins, Álvaro Ribeiro, Maria do Céu Almeida, João Alves e Sousa, Bringing optical metrology to testing and inspection activities in civil 
engineering, Acta IMEKO, vol. 10, no. 3, article 16, September 2021, identifier: IMEKO-ACTA-10 (2021)-03-16 

Section Editor: Lorenzo Ciani, University of Florence, Italy 

Received February 8, 2021; In final form August 5, 2021; Published September 2021 

Copyright: This is an open-access article distributed under the terms of the Creative Commons Attribution 3.0 License, which permits unrestricted use, 
distribution, and reproduction in any medium, provided the original author and source are credited. 

Funding: This work was supported by LNEC - National Laboratory for Civil Engineering, Portugal. 

Corresponding author: Luís Martins, e-mail: lfmartins@lnec.pt  

 

1. INTRODUCTION 

Optical Metrology has a large scientific and technological 
scope of application, providing a wide range of measurement 
methods, from interferometry to photometry, radiometry and, 
more recently, to applications using digital, video and vision 
systems, which combined with computational algorithms, allow 
obtaining traceable and accurate measurements. Increasing 
accuracy of optical measurement instruments creates new 
opportunities for applications in Civil Engineering, namely, for 
testing and inspection activities. 

These new methodologies open broader possibilities in Civil 
Engineering domains where dimensional and geometrical 
quantities are major sources of information on infrastructures 
and construction materials. The assessment of their performance 
and behaviour, often involves monitoring and analysis under 
dynamic regimes [1], [2]. In many cases, the development of new 
technologies, based on the use of methods combining optics and 

digital algorithms, have recognized advantages, namely, those 
using non-invasive techniques in harsh environments and remote 
observation [3]. Moreover, the need for accurate measurements 
related to infrastructures management, e.g., in early detection of 
damage or in safety monitoring, is growing. The contribution of 
Metrology in this area is key to increase the confidence in 
decision-making processes. 

 R&DI activities in the Optical Metrology domain in recent 
years at the Portuguese National Laboratory for Civil 
Engineering (LNEC) led to the development of innovative 
applications, many of them related to doctoral academic 
research. The main objectives are: (i) to design and develop 
optical solutions for applications where conventional 
instrumentation does not provide satisfactory results; (ii) to 
establish SI (International System of units) traceability of 
measurements undertaken with optical instruments; (iii) to 
develop advanced mathematical and numerical tools, namely 
based on Monte Carlo methods (MCM) and Bayesian methods, 

ABSTRACT 
Optical metrology has an increasing impact on observation and experimental activities in Civil Engineering, contributing to the Research 
and development of innovative, non-invasive techniques applied in testing and inspection of infrastructures and construction materials 
to ensure safety and quality of life. Advances in specific applications are presented in the paper, highlighting the application cases carried 
out by LNEC (the Portuguese National Laboratory for Civil Engineering).  
The examples include: (i) structural monitoring of a long-span suspension bridge; (ii) use of close circuit television (CCTV) cameras in 
drain and sewer inspection; (iii) calibration of a large-scale seismic shaking table with laser interferometry; (iv) destructive mechanical 
testing of masonry specimens. 
Current and future research work in this field is emphasized in the final section. Examples given are related to the use of M oiré 
techniques for digital modelling of reduced-scale hydraulic surfaces and to the use of laser interferometry for calibration of strain 
measurement standard for the geometrical evaluation of concrete testing machines. 

mailto:lfmartins@lnec.pt


 

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bringing benefits to the evaluation of measurement uncertainty 
in complex and non-linear optical problems. 

This paper exemplifies how new methods enable traceable 
and accurate solutions to assess conformity with safety 
requirements, providing support to the measurement uncertainty 
evaluation as a tool to use decision rules. In addition, the 
applications described emphasize the role of digital and optical 
systems, as a basis for robust techniques able to provide 
measurement estimates for dimensional quantities, replacing 
conventional invasive measurement approaches. To illustrate 
these achievements, results of R&DI in the Civil Engineering 
context are presented, including examples of application in: (i) 
structural monitoring of a long-span suspension bridge; (ii) drain 
and sewer inspection using CCTV cameras; (iii) calibration of a 
large-scale seismic shaking table with laser interferometry; (iv) 
destructive testing of masonry specimens.  

2. OVERVIEW OF OPTICAL METROLOGY 

Optical Metrology is a specific scientific area of Metrology, 
defined as the science of measurement and its applications [4], in which 
experimental measurement processes are supported by light. 
Currently, it has a significant contribution in multiple scientific 
and engineering domains, improving measurement methods and 
instruments, to assess their limits and increasing their capabilities 
in order to improve the knowledge of the studied phenomena. 

In recent years, the technological development of 
computational tools has extended the Optical Metrology activity 
scope, by increasing the number of measurement processes 
supported in digital processing of images obtained from optical 
systems [5]. This activity is characterized by the detection and 
record abilities, without physical contact with the object and in 
minor time interval, of a large amount of information 
(dimensional, geometrical, radiometric, photometric, colour, 
thermal, among others), overcoming human vision limitations, 
reaching information imperceptible for human eyes and, 
therefore, improving knowledge about phenomena. 

Although this paper is focused on dimensional 
measurements, Optical Metrology also reaches other domains of 
activity, namely, temperature, mechanical and chemical 
quantities. Optical Metrology covers a wide range of dimensional 
measurement intervals, from nanometer magnitude up to the 
dimension of celestial bodies and space distances. In this context, 
measurement principles are usually grouped in three categories 
[6]: 

(i) geometrical optics – related to the refraction, reflection 
and linear propagation of light phenomena, which are 
the functional support of several instruments and 
measurement systems composed by light sources, 
lenses, diaphragms, mirrors, prisms, beam splitters, 
filters and optical electronic components; 

(ii) wave optics – where the wave nature of light is 
explored, namely, the interference of electromagnetic 
waves with similar or identical wavelength, being 
present in a wide range of instruments and 
measurement systems which use polarized and 
holographic optical components and diffraction 
gratings; and 

(iii) quantum optics – supports the generation of laser 
beams which correspond to high intensity and 
monochromatic coherent light sources used, e.g., in 
sub-nanometer interferometry and scanning 
microscopy. 

In the case of Civil Engineering, two main areas for 
applications of Optical Metrology are identified: space and aerial 
observation; and terrestrial observation. 

Space observation, supported by optical systems, equipped 
with panchromatic and multi-spectral sensors integrated in 
Remote Sensing satellites, is gradually more frequent in the 
context of Civil Engineering, due to the growing access to 
temporal and spatial collections of digital images of the Earth’s 
surface with increasing spatial resolution. 

Aerial observation is generally focused on photogrammetric 
activities undertaken from aircrafts, aiming at the production of 
geographic information to be included in topographic charts or 
geographical information systems, namely, through orthophotos 
and three-dimensional models (realistic or graphical) 
representing a certain region of the Earth’s surface. Moreover, 
optical systems are also installed in UAV - Unmanned Aerial 
Vehicles, used in the visual inspection of large constructions, 
contributing to the detection and mapping of observations (e.g. 
cracks, infiltrations, among others) and analysis of their 
progression with time (see example in Figure 1) [7]. 

3. STRUCTURAL MONITORING OF A LONG-SPAN 
SUSPENSION BRIDGE 

Optical Metrology has been successively applied by LNEC to 
the monitoring of a long-span suspension bridge, allowing the 
development of non-contact measurement systems, capable of 
determining three-dimensional displacements of critical regions, 
namely, in the bridge’s main span central section. Optical systems 
are an interesting solution for this class of measurement 
problems, especially in the observation of metallic bridges, where 
the accuracy of microwave interferometric radar systems [8] and 
global navigation satellite systems [9], [10] can be affected, for 
instance, by the multi-path effect resulting from electromagnetic 
wave reflections in the bridge’s structural components. 

The measurement approach developed consists in the use of 
a digital camera rigidly installed beneath the bridge’s stiffness 
girder, oriented towards a set of four active targets placed at a 
tower foundation, materializing the world three-dimensional 
system. Provided that the camera’s intrinsic parameters (focal 
length, principal point coordinates and lens distortion 
coefficients) and the targets relative coordinates are accurately 
known (by previous testing), non-linear optimization methods 
can be used to determine the position of the camera’s projection 
centre. The temporal evolution of this quantity is considered 
representative of the bridge’s dynamic displacement at the 
location of the camera. 

Since distances can be quite high in this type of observation 
context, thus the use of high focal length lenses is required to 

 

Figure 1. Digital image processing of concrete wall surface image showing 
crack.  



 

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achieve a suitable spatial image resolution. However, 
conventional camera parameterization methods were mainly 
developed for small focal length cameras (below 100 mm). When 
applied to high focal length cameras, such methods can reveal 
numeric instability related to over-parameterization and 
ill-conditioned matrices. A suitable solution for this problem is 
found in [11], where the intrinsic parametrization method is 
described, supported in the use of diffractive optical elements 
(DOE). 

This approach was implemented in the 25th of April long-span 
suspension bridge (P25A) in Lisbon (Portugal), for an 
observation distance near 500 m. To obtain suitable sensitivity of 
three-dimensional displacement measurement, a 600 mm high 
focal length lens (composed by a 300 mm telephoto lens and a 
2x teleconverter) was used. A set of four active targets was placed 
in the P25A bridge south tower foundation (Figure 2), facing the 
bridge’s main span where the camera was installed (Figure 3). 

Each of the four targets was composed by 16 leds, distributed 
in a circular geometrical pattern capable of emitting a narrow 
near-infrared beam (875 nm wavelength) and compatible with 
the camera’s spectral sensitivity. An optical filter on the camera 
reduced the environment visible irradiance from many other 
elements in the observation scenario, thus improving contrast in 
the target image. 

Several field validation tests were performed, aiming at the 
quantification of the optical phenomena influence, such as 
atmospheric refraction and turbulence in the dimensional 
measurement accuracy. A calibration device was used for this 
purpose [11], [12], allowing to install the set of targets in four 
reference positions. By placing the camera in the P25A south 
anchorage, orientated toward the calibration device in the P25A 
south tower foundation (both considered static structural 

regions), the systematic effect caused by refraction and the beam 
wandering effect originated turbulence, mainly in the Summer 
season, were quantified as explained in [12].  

Since the P25A bridge has two main decks (an upper road 
deck and a lower train deck), two types of displacement records 
- with and without train circulation - were obtained during field 
testing of the displacement measurement system. Due to the 
reduced measurement sensitivity in the longitudinal direction, 
demonstrated in the validation tests, only transverse and vertical 
displacements were recorded. An image acquisition frequency of 
15 Hz was defined for an observation time interval of three 
minutes. The collected image sequences were digitally processed 
afterward, using the same techniques applied in the validation 
tests. Figure 4 exemplifies a typical displacement record obtained 
for a passengers train passage on the P25A main span central 
section. 

For the operational condition mentioned - train and road 
traffic - the observed maximum (peak-to-peak) displacement 
were 0.39 m and 1.69 m, respectively, in the transverse and 
vertical directions. High-measurement sensitivity is noticed in 
the vertical displacement record where the number of train 
carriages (four) can be temporally discriminated - four small 
spikes around t = 120 s, with a 95 % expanded measurement 
uncertainty of 8.8 mm. 

The distributed passengers train load was estimated between 
20.7 kN/m (empty train) and 28.8 kN/m (overload train), which 
is considerably lower than the distributed load applied in the 
P25A static loading test performed in 1999, where a 3.15 m 
vertical displacement value was recorded for a 77.5 kN/m 
distributed load. As expected, in the absence of train circulation 
in the P25A, the observed maximum displacements were less 
significant, namely 0.53 m and 0.29 m, respectively, for the 
vertical and transverse directions, as shown in Figure 5. 

4. DRAIN AND SEWER INSPECTION USING CCTV CAMERAS 

Another recent example of the application of Optical 
Metrology to the Civil Engineering inspection context is the 
study carried out on the metrological quality of dimensional 
measurements based on images from CCTV inspections in drain 
and sewer systems (example shown in Figure 6). 

In this context, investigations are carried out using several 
sources of information, including external and internal 
inspection activities for the detection and characterization of 
anomalies which can negatively affect the performance of the 
drain or sewer system. CCTV inspection is a largely used visual 
inspection technique for non-man entry components. 

This type of indirect visual inspection is characterized by the 
quantification of a significant number of absolute and relative 
dimensional quantities, which contribute to the characterization 
of the inspection observations and, consequently, to the analysis 
of the performance of drain and sewer systems outside buildings. 
Unfavourable environmental factors and conditions in the drain 
or sewer components pose difficulties in the estimation of the 
quantities of interest and the quality of the recorded images can 
be quite poor (lighting, lack of reference points, geometric 
irregularities and subjective assessments, among others). 

The study [14] stresses the need of proper metrological 
characterization of the optical system - the CCTV camera - used 
in drain or sewer inspections, namely, the geometrical 
characterization and quantification of intrinsic parameters using 
traceable reference dimensional patterns and applying known 
algorithms. The standard radiometric characterization, aiming at 

 

Figure 2. Active targets on the south tower foundation.  

 

Figure 3. Digital camera installed in the stiffness girder.  



 

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the determination of the CCTV camera sensitivity, linearity, 
noise, dark current, spatial non-uniformity and defecting pixels, 
is also mentioned [15].  

Two measurement models were studied to be applied in this 
context - the perspective camera model and the orthographic 
projection camera model [16]. The first model implies having 
input knowledge about the camera’s intrinsic parameters and the 
extrinsic parameters (the camera position and orientation in the 
local or global coordinate system), which must be obtained from 
instrumentation of the CCTV camera. The second model is a less 
rigorous approach that can be followed, assuming a parallel 
geometrical relation between the image plane and the cross-
section plane in the drain or sewer to define a scale coefficient 
between real dimension (in millimetres) and image dimension (in 
pixels).  

Research efforts were directed towards the evaluation of the 
measurement uncertainty following the GUM framework [17], 
[18]. Particular attention was given to the influence of lens 
distortion in the results obtained from the perspective camera 
model. In a typical inspection of a drain or sewer system, a 

reduced focal distance lens is generally used to have a wider 
angle. In this type of lens, distortion can cause geometrical 

 

Figure 4. P25A main span central section displacement - train and road traffic. 

 

Figure 5. P25A main span central section displacement - road traffic only. 

 

Figure 6. Inspection image showing dimensional reduction by deformation 
effect [13].  



 

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deformation of the image, thus affecting the accuracy of 
dimensional measurements.  

For this purpose, intrinsic parameters’ estimates and standard 
uncertainties were obtained [14] for the case of a camera with a 
4 mm nominal focal length and an image sensor with 480 × 640 
squared pixels, considering a pixel linear dimension equal to 
6.5 µm. High-order radial distortion coefficients were considered 
negligible. The standard uncertainty related to the image 
coordinates, resulting from the performed intrinsic 
parametrization, was equal to 0.04 pixel. 

To assess the impact of distortion in the image coordinate 
measurement accuracy, a Monte Carlo method [18] was used, 
given the complex and non-linear lens distortion model [19]. 
Figure 7 shows the estimates of the image variation due to the 
combined effect of radial and tangential distortions and Figure 8 
presents the corresponding 95 % measurement uncertainty. 

As shown in Figure 7 and Figure 8, the distortion impact in 
the images coordinates is quite low. As expected, a higher 
distortion is observed in the extreme regions of the image, 
especially in the corners. The maximum distortion estimate is 
close to 0.050 pixel with a 95 % expanded uncertainty of 
0.001 pixel. These results allow to remove the distortion 
component from the perspective camera model, making it less 
complex and numerically more stable. 

Due to the non-linear and complex mathematical models 
related to the perspective camera model, a Monte Carlo method 
was again applied in numerical simulation, in order to obtain the 
dispersion of values related to the local dimensional coordinates 

which support dimensional measurement in inspection images. 
A 95 % computational accuracy level lower than 1 mm was 
obtained. 

The simulation results showed that a dimensional accuracy 
level lower than 10 mm can only be achieved for a camera and 
plane location standard uncertainties of 1 mm and an image 
coordinate standard uncertainty bellow 3 pixels. In a sensitivity 
point of view, the camera and plane standard uncertainty showed 
a stronger contribution to the dimensional accuracy level, rather 
than the image coordinate measurement uncertainty. When 
compared with the global dimensions of the corresponding 
camera field-of-view (974 mm x 731 mm), the 95 % expanded 
uncertainty of the dimensional coordinates is comprised between 
0.2 % and 4.1 %. 

 The measurement uncertainty related to the adoption of the 
orthographic projection model was also studied in [14] using the 
Uncertainty Propagation Law [17], considering the linearity of 
the applied mathematical models. For the worst case, related to 
the scale coefficient with the highest measurement uncertainty, 
the obtained dimensional measurement accuracy was always 
above 5 %. Better accuracy levels are possible, namely, in the case 
of the lowest measurement uncertainty of the scale coefficient, 
for standard uncertainties of 1.3 pixel (for dimensional 
measurements close to 100 mm) and 2.5 pixels (for dimensional 
measurements of 200 mm), 

5. CALIBRATION OF A LARGE-SCALE SEISMIC SHAKING 
TABLE WITH LASER INTERFEROMETRY 

Laser interferometry was applied for the calibration of a 
large-scale seismic shaking table, used by LNEC’s Earthquake 
Engineering Research Centre in R&DI activities related to 
seismic risk analysis and experimental and analytical dynamic 
modelling of structures, components and equipment.  

This European Seismic Engineering Research Infrastructure 
(shown in Figure 9) is composed by a high stiffness testing 
platform with 4.6 m x 5.6 m dimensions and a maximum payload 
capacity of 392 kN, connected to hydraulic actuators, allowing to 
test real or reduced-scale models up to extreme collapse 
conditions, between 0 Hz and 40 Hz [20]. 

The control system used allows the active application of the 
displacement to the testing platform in three independent 
orthogonal axis, while its rotation is passively restricted using 
torsion bars. 

The performed calibration is included in the introduction of 
Quality Management Systems in large experimental 
infrastructures with R&DI [21], aiming the recognition of 
technical competence for testing and measurement and the 
formal definition of management processes, which can be 
regularly assessed by an independent entity. The compliance with 
metrological requirements is a key issue in this context, being 
related, for example, with traceability and calibration procedures, 
conformity assessment, measurement correction and uncertainty 
evaluation, data record management and data analysis 
procedures. 

Laser interferometry was used to evaluate the dimensional 
cross-axis motion, as well as the rotation motion across axis 
performances of LNEC’s shaking table, using specific 
experimental setups and optical components, as shown in Figure 
10 and Figure 11. 

This experimental work allowed performing remote and 
non-invasive measurements with a high accuracy level in a harsh 
environment, being composed by two stages: the laser beam 

 

Figure 7. Image distortion estimates in pixels.  

 

Figure 8. Image distortion 95 % expanded uncertainties in pixels. 



 

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alignment and data acquisition (500 sampling pairs from both the 
interferometer and the dimensional sensors of the seismic 
shaking table, having a Gaussian representation of the probability 
distribution). 

The main identified uncertainty components were related to 
misalignment of optical elements, time synchronization and 
influence quantities such as air and material temperature, relative 
humidity and atmospheric pressure. Specific actions were taken 
in order to minimize these uncertainty components, namely, 
full-range preliminary tests with adaptative adjustment of the 
main optical components, the application of a signal 
synchronization procedure and the use of compensation 
algorithms for the correction of the material thermal expansion 
and of the air refraction index [23]. 

One of the developed tests was defined in order to evaluate 
the dimensional scale calibration errors and reversibility, using 
input dynamic series with low variance 30 mm calibration steps, 
within a measurement interval of ± 120 mm. Examples of 
obtained results are shown in Figure 12 and Figure 13. 

A measurement discrimination test was also developed, 
considering transition steps of 0.5 mm, 0.1 mm and 5.0 mm given 
at 20 mm, 50 mm and 80 mm linear positions. An example of 
the obtained results is shown in Figure 14. 

The obtained results show calibration errors ranging, 
approximately between -0.4 mm and 0.7 mm, with a reduced 
reversibility close to 0.1 mm. These results were included in the 
measurement uncertainty evaluation, from which an 
instrumental measurement accuracy of 0.31 mm was obtained 
considering a confidence interval of 95 %. The corresponding 
target instrumental measurement uncertainty, defined as a 
metrological requirement for the seismic shaking table, is equal 
to 1 mm. 

Additional dynamical tests and the corresponding discussion 
of results can be found in [21].  

 

Figure 9. Top view of LNEC’s Earthquake Engineering testing room [22].  

 

Figure 10. Experimental setup for cross-axis motion testing. 

 

Figure 11. Experimental setup for rotation motion testing. 

 

Figure 12. Calibration errors and reversibility for the static position test of 
axis 1-T-A. 

 

Figure 13. Calibration errors for the dynamic position test of axis 1-T-A. 

 

Figure 14. Results of the discrimination test of axis 1-T-A at the 80 mm 
position. 



 

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6. DESTRUCTIVE MECHANICAL TESTING OF MASONRY 
SPECIMENS 

The application of Optical Metrology to the destructive 
mechanical testing of masonry specimens was motivated by the 
possibility of obtaining non-contact dimensional measurements. 
In a destructive test, the use of classical invasive instrumentation, 
such as deformeters, electrical strain gauges and contact 
displacement sensors, is considered not suitable for some 
applications due to dynamic effect in the experimental setup and 
to the high risk of damaging the equipment. 

Knowledge of mechanical characteristics of resistant masonry 
walls is one of the aspects that still have gaps, mainly due to the 
difficulty in obtaining representative specimens. In addition, the 
growing interest in the rehabilitation of old buildings contributes 
to the search for new reinforcement solutions that are 
compatible with the original building construction techniques 
[24], [25]. It is equally important to ensure that these 
reinforcement techniques, in addition to the aesthetic and 
functional aspects, also reduce the seismic vulnerability of these 
buildings [26].  

From an experimental point view, dimensional measurements 
have a strong contribution for the determination of key 
mechanical characteristics since they support the indirect strain 
measurement in the tested specimens [27], [28]. Afterwards, 
these measurements are used for characterizing the masonry 
specimen mechanical behaviour in terms of its elasticity modulus 
and Poisson ratio. 

The optical measurement solution proposed [29] is based in 
the use of a single camera with a spatial position and orientation 
allowing visualization of a set of passive targets evenly distributed 
in different regions, both in the static region surrounding the 
specimen and in the dynamic region of the tested specimen 
surface. The weak perspective model or the orthographic model 
with uniform scaling was adopted [29] allowing to establish a 
functional relation of the three-dimensional point georeferenced 
(expressed in millimetres, for example) with the corresponding 
bi-dimensional position in the image (usually expressed in pixels). 

A measurement referential, composed of reference targets, 
was placed in front of the observation region in the masonry 
specimen at the minimum distance from the specimen surface 
(without contact), thus minimizing the observation depth 
difference to the monitoring targets fixed and scattered in the 
observation region (in the inner region of the referential), as 
shown in Figure 15. 

The mentioned referential was subjected to dimensional 
measurement in an optical measuring machine, before the 
specimen testing, aiming at the determination of the 
three-dimensional georeferenced position of each reference 
target. The knowledge of these spatial coordinates supported the 
calculation of the scale coefficient in each acquired image, since 
the measurement referential is placed in a static region of the 
experimental setup (ensuring that it does not touch the specimen 
and it is not subjected to vibrations produced by the testing 
machine). 

Solid and hollow ceramic brick masonry specimens were 
retrieved from the walls of one building built in the beginning of 
the 20th century in the city of Lisbon (Portugal), which was 
undergoing rehabilitation. The proposed optical approach was 
implemented by fixing monitoring targets in the specimen’s 
ceramic bricks and placing the measurement referential with the 
reference targets close to the observation surfaces as shown in 
Figure 16 (displacement sensors are also visible, being used for 
validation purposes, without specimen collapse). 

The recorded images were subjected to tailored digital image 
processing algorithm, in order to retrieve the image coordinates 
of both reference and monitoring targets, as shown in Figure 17. 

The first stage of obtained results is related to the scale 
coefficient measurement samples (with a dimension equal to 28), 
from which an average value was obtained. Figure 18 illustrates 
the dispersion of scale coefficient values obtained for one of the 
used measurement referential. 

Based on the specimen’s length and width measurements, as 
well as the axial compression force readings obtained from the 
used universal testing machine, vertical and horizonal 

 

Figure 15. Schematic representation of the proposed optical measurement 
method. 

 

Figure 16. Instrumentation of the masonry specimen. 

 

Figure 17. Example of targets image after digital processing, showing the 
determined centroids. 



 

ACTA IMEKO | www.imeko.org September 2021 | Volume 10 | Number 3 | 115 

dimensional measurements were performed in the frontal and 
rear surfaces of the specimen, noticing the existence of both 
contact and optical measurement points not spatially coincident. 
From the collected data, stress vs. strain curves were obtained 
for the loading and unloading cycle corresponding to 1/3 of the 
fracture stress, as shown in Figure 19 and Figure 20. 

Figure 20 shows the effect of noise in the strain 
measurements obtained by the optical dimensional 
measurements, when compared with the strain measurements 
obtained by the contact measurement chain (Figure 19). This is 
justified by the low spatial resolution of the acquired images, 
which affects the targets image coordinates which support the 
deformation measurement. A higher spatial resolution can be 
achieved with an image sensor composed by smaller pixels or by 

using a different lens that is capable of producing a higher image 
magnification with an acceptable narrow field-of-view. 

These results were use in the determination of mechanical 
properties estimates and measurement uncertainties in tested 
masonry specimens. A detail discussion is shown in [29]. 

7. CONCLUSIONS 

This paper describes relevant contributions of Optical 
Metrology when applied in different testing and inspection 
activities in Civil Engineering, providing significant added-value 
in decision-making processes. 

The wide diversity of testing and inspection activities in this 
context, together with the versatility of the measurement 
solutions and tools provided by Optical Metrology, motivates the 
development of new interdisciplinary R&DI work at LNEC, so 
far with promising results. 

One of these fields is the development of Moiré techniques 
[30] applied in the digital modelling of reduced-scale hydraulic 
surfaces. Hydraulic experimental activities are frequently carried 
out in a dynamic regime; however, conventional invasive 
instrumentation is often unsuitable for real-time observations, 
making these experiments time-consuming and with reduced 
acquisition frequency. Moiré techniques have been successively 
applied in other scientific and technical areas, however, their 
application in the Civil Engineering context is still quite reduced. 

Another research field being developed by LNEC in this 
context is the application of laser interferometry in the 
calibration of a strain measurement standard used for the 
geometrical evaluation of concrete testing machines 
(self-alignment and movement restriction) [31]. This 
measurement standard - a strain gauged column - is required to 
have a reduced instrumental measurement uncertainty (0.1 % or 
5x10-6), making laser interferometry an interesting suitable 
solution for this objective. 

ACKNOWLEDGEMENT 

The authors acknowledge the financial support provided by 
LNEC - National Laboratory for Civil Engineering. 

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Figure 18. Dispersion of values related to the scale coefficient. 

 

Figure 19. Stress vs. strain curve obtained by contact dimensional 
measurement. 

 

Figure 20. Stress vs. strain curve obtained by optical dimensional 
measurement. 

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https://doi.org/10.1016/j.ndteint.2004.02.004
https://doi.org/10.1117/1.OE.54.1.014105
https://doi.org/10.1007/s10765-014-1607-3
http://dx.doi.org/10.21014/acta_imeko.v9i1.744
http://dx.doi.org/10.21014/acta_imeko.v5i4.356
https://doi.org/10.1088/1742-6596/772/1/012006
https://doi.org/10.1016/j.compstruct.2014.02.020
https://doi.org/10.1016/j.compstruct.2016.06.066
https://doi.org/10.3390/app10010371