Acta IMEKO, Title


ACTA IMEKO 
ISSN: 2221-870X 
December 2017, Volume 6, Number 4, 100-104 

 

 
ACTA IMEKO | www.imeko.org December 2017 | Volume 6 | Number 4 | 100 
 

A new system for the measurement of gripping force based 
on scattering 
M. Becchetti1, R. Marsili1, F. Cannella2, A. Garinei3 

1Dipartimento di Ingegneria, Università degli Studi di Perugia, Perugia, 06125, Italy 
2Istituto Italiano di Tecnologia, Genova, 16163, Italy 
3DMII, Università degli Studi Guglielmo Marconi, Roma, 00193, Italy 

 

 

Section: RESEARCH PAPER  

Keywords: Frustrated Total Internal Reflection (FTIR); fingertip contact pressure; biomechanics 

Citation:  M. Becchetti, R. Marsili, F. Cannella, A. Garinei, A new system for the measure of gripping force based on the scattering, Acta IMEKO, vol. 6, no. 4, 
article 16, December 2017, identifier: IMEKO-ACTA-06 (2017)-04-16 

Editor: Paul Regtien, Measurement Science Consultancy, The Netherlands 

Received May 16, 2017; In final form December 01, 2017; Published December 2017 

Copyright: © 2017 IMEKO. 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 

Corresponding author: Roberto Marsili, e-mail: roberto.marsili@unipg.it 

 

1. INTRODUCTION 
The investigation of the mechanisms of human tactile 

perception represents a fundamental topic in haptics. The 
fingertip deformation is the basic mechanical action in the 
tactile perception, since tactile sensitivity depends on the tissue 
strain and hence on the contact area. Different models are 
available to predict the behaviour of the fingertip in terms of 
contact area, deformation and pressure distribution [1], [2]. 
Measurements are thus required both to determine the static 
fingertip area and force as input to the numerical models and to 
measure the area and the pressure necessary for numerical 
model validation. When measuring the contact pressure, the 
goal is to set up a measurement system with high sensitivity at 
low pressure, since, for specific applications, the typical 
pressure range of interest is from 0 to 50 kPa.  

The main objective of this work is the development of a 
measurement system, which allows to characterize the different 
aspects of the interaction finger - contact surface, through the 
measurement   of   the   contact   area   and   of   the    pressure  

 
 
 

distribution, both on static and dynamic conditions. 
Many sensors based on different physical principles have 

been proposed for the measurement of pressure at contact 
surface between two rigid or flexible bodies. Some contact 
pressure measurement systems have been used for measuring 
pressure distribution at interfaces between objects, with 
application to comfort analysis and improvement of vehicle 
seats [3], or steering wheel [4], for various biomedical 
applications such as measurement of contact pressure between 
hand and handle of a tool in order to analyse vibration 
transmission to the hand [5], [6] or between foot and ground 
for plantar pressure analysis [7], [8]. In [9]-[11] a new 
measurement technique for the measurement of contact 
pressure distributions between bodies in contact is proposed, 
based on the measurement principle known as thermoelasticity. 
Many applications have been developed [12]-[14] also in other 
fields such as robot technology (tactile sensors), for contact 
force mapping of mechanical parts. The film sensors used for 
those applications are based on piezo-polymers, capacitive 

ABSTRACT 
The measurement of contact pressure of human fingers is very important to understand human perceptual mechanisms, that is the 
main goal of most of the neuroscientific studies. It may also lead to a correct development of tactile devices and haptic systems, as 
they are intended to convey controllable and effective stimuli. 
In this work, an optical measurement system based on Frustrated Total Internal Reflection (FTIR) is proposed for the measurement of 
the pressure distribution on the contact area between a human finger and a flat surface. The feasibility study performed shows that 
the tested sensor can be effectively used for the measurement of the fingertip contact pressure both on static and dynamic 
conditions. 



 

 
ACTA IMEKO | www.imeko.org December 2017 | Volume 6 | Number 4 | 101 
 

sensors, conductive ink, resistive polymers sensing elements or 
magnetoresistivity [15]. However, many metrological problems 
remain unresolved, due to non-linearity, material's rheological 
behaviour, mounting surface curvature and shape, dynamic 
characteristics, etc. Also frequency limitations can be due to the 
sensor itself or to the electronic processing and data acquisition 
system, when a matrix of many sensing elements is necessary. 
Piezo-polymers have probably the best metrological 
characteristic but cannot measure very slow fluctuations or 
static pressure components. Sensors based on conductive ink or 
resistive polymers showed from preliminary tests that 
metrological characteristics change with time and have large 
hysteresis. The capacitive sensing elements can be used to 
measure both dynamic and static pressure with acceptable 
linearity and hysteresis, and bendable sensors may be applied to 
the wearable health monitoring/sensing system or electronic 
skins, as in [16]. Here an optical measurement system based on 
light scattering is developed and analysed. The outline of this 
paper is as follows. First, the design of an optimized 
measurement system based on Frustrated Total Internal 
Reflection (FTIR) is described. Then the results of specific tests 
performed on the measurement system are shown, to define its 
static and dynamic behaviour and to evaluate if the proposed 
measurement technique can be effectively used to measure 
human fingertip mechanical properties in terms of contact area 
and pressure distribution. 

2. EXPERIMENTAL BACKGROUND AND SETUP 
The principle of the measurement system is the light 

reflection/refraction at the interface between two transparent 
media. When the light passes through an interface between 
media of different refractive indices, the path of travel changes 
(Snell’s Law). 

Thus when a light source is installed at the edge of a thin 
glass plate and the incident angle ϑ1 exceeds the critical angle 
ϑcritical (Figure 1a), the plate acts as a light guide. In this case 
(total internal reflection) the light cannot be seen when 
observing the plate from below the plate. 

If a reflecting media is pressed against the plate, the surface 
of the media will scatter light in the contact surface, being the 
media with a refractive index different from the refractive index 
of the air (Figure 1b). By observing the scattered light, it is thus 
possible to view the shape of the contact surface. Depending 
on the roughness of the contact surface, the contact area will 
increase with the contact pressure, thus the light intensity can 
be used to measure the contact pressure between the two media 
(Figure 1c). 

Methods based on white light refraction are used for the 
measurement of normal contact stress between 'soft' structures 
and a rigid planar surface, specifically for application to tire 
footprint analysis [17], [18]. These systems are optimized to 
measure tire footprint pressures and are not suitable for the 
measurement of low pressures. The design of the proposed 
measurement system was developed to permit the measurement 
of low pressures that characterize human fingertip contact. The 
roughness and the mechanical characteristics of the contact 
surface are the most critical parameters for the realization of an 
effective pressure measurement system based on FTIR. These 
parameters must be carefully evaluated, because of their effects 
on the range and on the sensitivity of the measurement system. 

The measurement system setup is shown in Figure 2: a 
sliding system realized through threaded rods permits to adjust 
the camera position depending on its optics; a 200 mm x 200 
mm x 200 mm darkroom was realized to avoid interference of 
light from the external environment; a 150 mm x 150 mm x 10 
mm glass plate was fixed on a square support with a green LED 
strip installed around the perimeter.  

The main characteristics of the glass plate are shown in 
Table 1. 

3. SYSTEM CHARACTERIZATION 
3.1. Static characterization 

A first static analysis of the system was performed to 
characterize the behaviour of the sensor when a constant 
pressure is applied on it. For this purpose, the glass plate was 
covered with a thin membrane and fixed on a square support 

 
Figure 1. Principle of measurement [17]. (a) shows the lighting system, (b) 
the light scattering,  (c) the detail of the contact area.  

Table 1. Glass plate characteristics. 

Chemical glass composition  (SiO2) + oxides 
Aspect Transparent 
Crystallinity Amorphous 
Refractive index From 1.458 to 1.86 
Nominal tensile strength 4 MPa 
Nominal compression strength 1 GPa 
Nominal bending strength 40 MPa 

 

 
Figure 2. Test bench for static calibration. 



 

 
ACTA IMEKO | www.imeko.org December 2017 | Volume 6 | Number 4 | 102 
 

with a green LED strip installed around the perimeter. 
A Plexiglas frame was then realized to install the thin lattice 

membrane at the top of the glass plate: the membrane is 
stretched, thus there is a thin air gap (no contact) between the 
membrane and the glass plate in the starting configuration. The 
lattice membrane is talc-covered to increase the roughness of 
the contact surface and thus the sensitivity of the measurement 
system. Different test setups can be achieved by varying the 
amount (thickness) of talc powder (estimated by weighing) and 
using talc with different granulometry. In the work, we want to 
develop a methodology for measuring the metrological 
performance of the sensor, which is obtained by calibration. 
Problems like the uniformity of the overlay will be faced during 
prototype engineering, with a productive industrial process 
more accurate than a laboratory production. In addition to 
talcum, other materials can be used. 

Figure 3 illustrates a typical result of the relation between 
thickness and pressure for the latex membrane used. 

From this result it is possible to see, in general, the non-
linear behavior of the latex membrane. However, in the 
pressure range of interest (0 – 50 kPa), as a first approximation, 
the curve pressure vs thickness reduction can be considered 
linear.  

For the static calibration, a reference pressure is applied to 
the sensor by the thin membrane, which is loaded by a constant 
pressure chamber, whose pressure is measured by a pressure 
sensor connected to a Scandura Pascal 100 system. In order to 
avoid pressure losses, the contact between the pressure 
chamber and the glass plate is realized through an O-Ring for 
pneumatic applications (Figure 2). 

The reference pressure varies from 0 Pa to 100 kPa, that is 
the maximum pressure to avoid fracture of the glass plate.  

A high performance reflex digital camera (Canon EOS 
1100D, with a 12.2 megapixel CMOS sensor, fast shutter speed 
1/4000 s), was used to take high resolution grey-level images. 
The camera was equipped with a 18-55mm f/3.5-5.6 lens: the 
distance from the camera to the glass plate was adjusted 
depending on the focal length of the camera. The camera 
parameters (ISO settings, shutter speed, white balance) were 
adjusted to obtain maximum sensitivity for the specific setup (f-
number = 5.6, exposure time = 1/8 s, ISO 400). 

The raw images (4272 x 2848 pixels) were acquired with the 
software Canon Eos Utility, converted in .tiff format and thus 
post-processed with a Matlab toolbox. Images were acquired 
for each pressure step (5000 Pa – 21 steps) in the calibration 
range. 

For a given pressure, the grey level of each pixel varies 
depending on the pixel location and on the local characteristics 
of the contact surface (roughness). Figure 4 illustrates a typical 
static calibration diagram: abscissa refers to the reference 
pressure, estimated by a Wika Pascal 100, with range 0 – 2.5 
bar, resolution 0.01 mbar, uncertainty 0.025 % F.S.; the 
ordinate refers to the grey level (range 0 ÷ 256) measured by the 
sensor. The calibration curve is obtained using the method of 
least squares. The uncertainty is less than 1 % full scale. 

After these first measurements, a measurement area was 
defined to reduce the dispersion due to the localized 
imperfections of the contact surfaces (Figure 5). This is the 
most effective sensing area both for static and dynamic 
measurements. The optimal measurement area is a 20 × 20 mm 
box. 

3.2. Preliminary dynamic characterization 
Then a dynamic characterization was performed by loading 

the sensor with a sinusoidal excitation applied through a rigid 
feeler pin (Figure 6). The compression force, generated by the 
electrodynamic exciter, is measured by a load cell. The 
deformation of the glass plate was so small that its effect can be 
neglected. 

Tests were performed using sine excitation in the linear 
range of the sensor (10 − 100 kPa): typical signals obtained are 
shown in Figure 7. 

For the image processing specific software in LabView has 
been developed (Figure 8). 

 
Figure 4. Typical static calibration diagram for a pixel. 

 

 

  
Figure 5. Measurement area selection. 

 
Figure 3. Typical pressure - sensor thickness reduction curve [19]. 



 

 
ACTA IMEKO | www.imeko.org December 2017 | Volume 6 | Number 4 | 103 
 

The tests are conducted changing the excitation frequency, 
while keeping the level of force fixed. The ratio between system 
output (gray level) and force amplitude vs frequency is plotted 
in Figure 9. 

These results allow establishing that a useful bandwidth is 
from 0 up to 10 Hz with tolerable response decrease lower than 
5 %. 

Further tests are planned to determine the maximum 
measurable frequency using this system. 

4. CONCLUSIONS 
The analysis of the contact pressure between the finger and 

a contact surface is of remarkable interest in the field of 
biomedical design, to characterize human fingertip mechanical 
properties in terms of contact area, deformation and pressure 
distribution. 

In this work a measurement technique based on FTIR is 
proposed for the analysis of contact pressure between the 
finger and a flat contact surface (glass plate). 

A FTIR measurement system was designed and tested to 
evaluate the feasibility and effectiveness of this measurement 
technique to measure the contact area and the pressure 
necessary for numerical fingertip model validation. 

Results showed that there are good assumptions to use the 
sensor for the measurement of the fingertip contact pressure 
both on static and dynamic conditions.  

Consistency and repeatability observed at this first stage is 
very encouraging for the development of an effective fingertip 
pressure measurement system based on FTIR. 

This will permit to analyse the behaviour of the finger for 
different conditions, and thus to validate numerical models not 
only in contact area and force, but also in pressure, that is 
suitable for investigating the fingertip deformation on static and 
dynamic conditions. 

Plans for future work are to further explore new materials 
for a higher sensitivity and testing different configurations with 
a complete set of loading conditions. 

REFERENCES 

[1] J. Z. Wu, R. G. Dong, S. Rakheja, A. W. Schopper, and W. P. 
Smutz, “A structural fingertip model for simulating of the 
biomechanics of tactile sensation,” Med. Eng. Phys., Mar. 2004, 
vol. 26, no. 2, pp. 165–175. 

[2] S. Shimawaki, N. Sakai, “Quasi-static deformation analysis of a 
human finger using a three-dimensional Finite Element Model 

 
Figure 6. Test bench for dynamic characterization.    

 
 

 

 
Figure 7. Time history output system and force.Figure x. Stamp.  
 
 

 
Figure 8. Image processing software interface. 

 
Figure 9. Time history output system and force. 



 

 
ACTA IMEKO | www.imeko.org December 2017 | Volume 6 | Number 4 | 104 
 

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[4] R. Marsili, A. Garinei, “Development of a new capacitive matrix 
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[5] R. Marsili, G.L. Rossi, “The measurement of contact and grip 
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[6] R. Gurram, G.J. Gouw, S. Rakheja, “Grip pressure distribution 
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[9] M. Becchetti, R. Flori, R.. Marsili, M. Moretti, "Comparison 
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[10] R. Marsili, G. Brustenga, M. Moretti, J. Pirisinu, G.L. Rossi, 
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[11] Jean-Francois Brouckaert, Roberto Marsili, Gianluca Rossi, 
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29, 2012 Conference Proceedings Volume 1457 Pages: 61 - 68   
DOI: 10.1063/1.4730543   Published: 2012 IDS Number: BBI34  
ISSN: 0094-243X   ISBN: 978-0-7354-1059-6   SCOPUS:  2-
s2.0-84874468369. 

[12] R. Marsili, A. Garinei, "Design of an optical measurement system 
for dynamic testing”, Measurement Volume 46, Issue 5, June 
(2013), pp. 1715-1721 DOI information: 
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[13] R. Marsili,  A. Garinei, “A new diagnostic technique for ball 
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2012.02.23, Elsevier Science. 

[14] R. Marsili, M. Moretti, G.L. Rossi, “Thermoelastic Modal Stress 
Analysis”, IMAC XXVI Conference & Exposition on Structural 
Dynamic, Orlando, Florida USA, 4 – 7 February 2008; ISBN: 
0912053984  ISBN 9781605600666; SCOPUS : 2-s2.0-
84861536363. 

[15] E. Cardelli, A. Faba, R. Marsili, G. Rossi, R. Tomassini, 
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Applied Physics 117, 17A705 (2015); doi: 10.1063/1.4907180. 

[16] R. Marsili, A. Garinei, “Measurement of pressure distribution on 
a membrane of a pump for biomedical applications through 
capacitive film sensors” Measurement: Journal of the 
International Measurement Confederation, 55, pp. 110-116 
(2014) DOI: 10.1016/j.measurement.2014.04.040. 

[17] S.Begej, “Planar and finger-shaped optical tactile sensors for 
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(Oct. 1988), p.472-484. 

[18] A. N. Gent, J. D. Walter, “The Pneumatic Tire”, The National 
Highway Traffic Safety Administration, U.S. Department of 
Transportation, Washington DC 20590, August 2005, pp 248-
250. 

[19] R. Marsili, A. Garinei, “Thermoelastic Stress Analysis of the 
Contact Between a Flat Plate and a Cylinder”, Measurement: 
Journal of the International Measurement Confederation, 52 (1), 
pp. 102-110 (2014) 
http://dx.doi.org/10.1016/j.measurement.2014.03.005   (2014).   

 


	A new system for the measurement of gripping force based on scattering
















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    /HRV (Za stvaranje Adobe PDF dokumenata najpogodnijih za visokokvalitetni ispis prije tiskanja koristite ove postavke.  Stvoreni PDF dokumenti mogu se otvoriti Acrobat i Adobe Reader 5.0 i kasnijim verzijama.)
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    /NLD (Gebruik deze instellingen om Adobe PDF-documenten te maken die zijn geoptimaliseerd voor prepress-afdrukken van hoge kwaliteit. De gemaakte PDF-documenten kunnen worden geopend met Acrobat en Adobe Reader 5.0 en hoger.)
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    /UKR <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>
    /ENU (Use these settings to create Adobe PDF documents best suited for high-quality prepress printing.  Created PDF documents can be opened with Acrobat and Adobe Reader 5.0 and later.)
  >>
  /Namespace [
    (Adobe)
    (Common)
    (1.0)
  ]
  /OtherNamespaces [
    <<
      /AsReaderSpreads false
      /CropImagesToFrames true
      /ErrorControl /WarnAndContinue
      /FlattenerIgnoreSpreadOverrides false
      /IncludeGuidesGrids false
      /IncludeNonPrinting false
      /IncludeSlug false
      /Namespace [
        (Adobe)
        (InDesign)
        (4.0)
      ]
      /OmitPlacedBitmaps false
      /OmitPlacedEPS false
      /OmitPlacedPDF false
      /SimulateOverprint /Legacy
    >>
    <<
      /AddBleedMarks false
      /AddColorBars false
      /AddCropMarks false
      /AddPageInfo false
      /AddRegMarks false
      /ConvertColors /ConvertToCMYK
      /DestinationProfileName ()
      /DestinationProfileSelector /DocumentCMYK
      /Downsample16BitImages true
      /FlattenerPreset <<
        /PresetSelector /MediumResolution
      >>
      /FormElements false
      /GenerateStructure false
      /IncludeBookmarks false
      /IncludeHyperlinks false
      /IncludeInteractive false
      /IncludeLayers false
      /IncludeProfiles false
      /MultimediaHandling /UseObjectSettings
      /Namespace [
        (Adobe)
        (CreativeSuite)
        (2.0)
      ]
      /PDFXOutputIntentProfileSelector /DocumentCMYK
      /PreserveEditing true
      /UntaggedCMYKHandling /LeaveUntagged
      /UntaggedRGBHandling /UseDocumentProfile
      /UseDocumentBleed false
    >>
  ]
>> setdistillerparams
<<
  /HWResolution [2400 2400]
  /PageSize [612.000 792.000]
>> setpagedevice