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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