
 
posture in a laboratory setting which are not of direct 
interest in this study. 
Comfort, accuracy and a user friendly interface 
are key elements for such a device to work 
successfully and be accepted in the medical world. 
The basic element of the measuring system 
introduced here is a very flexible, textile integrated 
bending sensor. Several of these basis elements may 
be combined in order to measure multi-dimensional 
joints or more degrees of freedom of the human 
body.  
In the next sections the basic element required to 
measure bending is described. 
2 BENDING SENSOR 
2.1  Single Bending Sensor 
Measuring bending in our setting is based on the 
change of electrical inductance of a very simple coil 
(a loop of a conductive wire). It appears that the 
inductance of a coil changes as the form of the coil 
changes. The mutual inductance by a filamentary 
circuit  i on a filamentary circuit j is given by the 
double integral: 
lY
sdds
L
a
CC
i
π
μ
π
μ
44
0
2/][
0
+
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
′
⋅
≈
≥
′
∫∫
R
R
 
(1)
where
0
denotes the magnetic constant (4πx10
-
7
H/m),  C  and  C
′
 are curves along the wires, 
is 
the distance between two points on respectively 
C
and 
C
′
. The vectors 
ds
 and 
sd
′
represent 
vectors along  C and C
′
. When 
becomes zero the 
above equation becomes infinitive and therefore 
there is an extra condition that 
has to be larger 
than half the thickness of the wire a. In that case the 
inductance is only dependant on the radius a and its 
length l and some factor Y denoting the current 
distribution through the wire (typically Y=1/4). 
When the form of the coil changes, the orientation of 
ds
 and 
sd
′
changes and probably the distance 
between them too. That results in a change of the 
inductance of the coil. 
As can be seen in equation (1) the mutual 
position and orientation of the wire segments 
determine the total inductance of the coil. It is these 
elements that vary when the coil bends and thus 
consequently changes the inductance 
correspondingly. The wire used in this sensor is very 
flexible and thin and integrated in a carrier e.g.. knee 
brace, t-shirt, strap etc. 
In the case that the bend of the coil is directly 
connected to a single bending angle of a human joint 
(knee, elbow etc.), a simple calibration can be used 
to translate the bending inductance readings into an 
absolute angle value. Calibration can be done using 
a reference measuring system that simultaneously 
measures the joint angle.  
However in some cases, where the carrier may 
be minimally shifted due to movement, the system 
can be automatically recalibrated based on extra 
information from accelerometers mounted on the 
carrier. 
2.2 Automatic Recalibration 
In many applications where the bending sensors are 
firmly attached to a body joint the translation from 
inductance reading into joint angles can be done 
once based on some discrete calibration 
measurements. In particular in the case of a single 
joint the calibration can be performed using 
mechanical goniometry.  
However, wearing a sensory system for a longer 
time in a day inherently implies local shifting of the 
system on the body, hence a discrepancy of the 
calibration of the sensor. In addition, by fitting or 
“putting on” the sensory system in a non-
reproducible way, the user introduces an additional 
error in the calibration. To account for this an 
automatic calibration was introduced based on extra 
sensors mounted around the joint. A set of two tri-
axial accelerometers is placed above and below the 
joint. When the user is in a steady state (sitting, 
standing etc.) the readings of the accelerometers 
may be used to calculate the absolute angle of the 
joint. In static situations the accelerometers are only 
measuring some proportion of the gravitational 
force. Based on this, the angle between the 
accelerometers is calculated. In dynamic situations 
(walking, running etc.), the accelerometers “see” 
simultaneously the gravitational force and the 
human movement. In this case the calculation of the 
joint angle is not possible using the accelerometers. 
For this case the inductance measurement is used for 
calculating the joint angle. Every static situation 
during the day is used to (re)calibrate the bending 
sensor compensating for any changes of the bending 
sensor attachment on the human joint. 
In summary, during static situations the 
accelerometers are used to calculate the absolute 
joint angle and calibrating the bending sensor, and in 
dynamic situations only the calibrated bending 
sensor is used. 
WEARABLE HUMAN BODY JOINT AND POSTURE MEASURING SYSTEM
269