
 
point corresponds to the local minimum of the notch 
to the left of point C, while the X point corresponds 
to the time instant where the lowest ICG value 
occurs during the negative ICG signal section, to the 
right of the C point. Using synchronized 
echocardiography (clinical gold standard) with ICG 
(see fig. 2) suggests that the traditional definitions of 
B and X points do not correlate well to the exact 
opening and closing instants of the aortic valve, 
respectively. In fact, as was observed by Shyu et al. 
(2004) using pressure-volume (PV) loops, the X-
point tends to occur substantially later than the E-
point of the PV loop, which marks the closing of the 
aortic valve. The multi-modal graphical data 
provided by several authors (e.g. (Wang et al., 
1995)) seem to suggest that the ICG’s B-point 
occurs after the onset of the opening movement of 
the aortic valve cusps. It should also be mentioned 
that some authors (e.g. (Reddy et al., 1988), (Visser 
et al., 1993), (Visser et al., 1991)) define the onset 
of the aortic valve opening event at the zero-crossing 
point of dZ/dt prior to point C (variants exist where 
these points are measured at certain distances from 
this reference).  
There have been several efforts to automate the 
detection of the ICG’s characteristic points. Several 
algorithms rely on ensemble averaging to overcome 
artifacts in the ICG signal (Nagel et al., 1986) 
related to baseline drift caused by respiration and 
movement artifacts. Because of heart rate variability, 
this technique tends to blur less distinctive events 
(particularly the B-point) making their detection 
more difficult. On the other hand, it comes at the 
expense of beat-to-beat variations, since ensemble 
averaging filters these out. In order to overcome 
these limitations, many authors suggest the use of 
filtering and adaptive thresholding techniques. Wang 
et al. (1995) use the spectrogram in different 
frequency regions to extract a salience measure of 
the characteristic points. A review on salience 
measure-based methods is reported in (Pandey and 
Pandey, 2005). Other authors exploit the wavelet 
transform (WT). The advantage of WT is that it 
decomposes the signal into different frequency bands 
or scales, while preserving and characterizing the 
regularities of the signal in those scales. Shyu et al. 
(2004) and Shuguang  et al. (2005) explored the 
zero-crossings and local extremes to find the 
characteristic points in ICG in a particular scale.  
In this paper we introduce a new definition for 
the characteristic points in ICG and an algorithm for 
their detection using a computationally simple and 
efficient method based on high order derivatives. 
The basis for this new definition of the ICG’s 
characteristic points is described in section 2.1. The 
details of the algorithm are introduced in section 2.2. 
A performance comparison with respect to the 
current clinical gold standard – the 
echocardiography – using state-of-the-art 
characteristic point definitions and detection 
methods and a commercial system is provided in 
section 3. Finally, in section 4, some main 
conclusions are presented and discussed. 
2  METHODS 
2.1  Characteristic Point Definition 
There is evidence that the characteristic points 
considered in literature for ICG correspond only 
approximately to the events used to mark the systole 
and the diastole phases of the cardiac cycle, i.e. the 
movements of the aortic valve cusps. Heart valve 
movements are not instantaneous, but rather 
transitory processes that have their intrinsic dynamic. 
This is perfectly visible in fig. 2, where the ICG 
signal has been co-registered with an M-mode 
echocardiography of the aortic valve that enables to 
trace the aortic valve cusps movements. As can be 
observed, the opening movement of the aortic cusps 
is located at the notch of the ICG, to the left of point 
C. As depicted in fig. 1, this notch corresponds to a 
relatively large region of the ICG. The traditional 
definition of the B-point is at the base of the notch 
(see fig. 1 and fig. 2). However, from fig. 2 it is seen 
that physiologically this point does mark neither the 
onset nor the end of the cusps movement during its 
opening dynamics at the beginning of the systole. 
Synchronized ICG-echocardiographies suggest that 
these events occur earlier in time and tend to 
correspond, respectively, to the inflection point of 
the ICG curve, to the left of the maximum of the 
notch, and to a point near the notch’s maximum.  
To overcome the uncertainty induced by the 
dynamics of the cusps during the opening and 
closing of the aortic valve, the left ventricle blood 
ejection lobe is usually applied as a reference in 
clinical practice, which is measured using 
echocardiography in Doppler mode. Fig. 3 depicts 
the blood ejection lobe through the aortic valve 
measured using the echo-Doppler principle and co-
registered with the ICG signal. As can be observed, 
the onset of the ejection lobe tends to be localized 
immediately before the ICG notch’s maximum, i.e., 
an event that occurs noticeably earlier than the 
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