T. Varghese et al., MULTIRESOLUTION IMAGING IN ELASTOGRAPHY, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 45(1), 1998, pp. 65-75
The range of strains that can be imaged by any practical elastographic
imaging system is inherently limited, and a performance measure is va
luable to evaluate these systems from the signal and noise properties
of their output images. Such a measure was previously formulated for s
ystems employing cross-correlation based time-delay estimators through
the strain filter. While the strain filter predicts the signal-to-noi
se ratio (SNRe) for each tissue strain in the elastogram and provides
valuable insights into the nature of image noise, it understated the e
ffects of image resolution (axial resolution, as determined by the cro
ss-correlation window length) on the noise. In this work, the strain f
ilter is modified to study the strain noise at multiple resolutions. T
he effects of finite window length on signal decorrelation and on the
variance of the strain estimator are investigated. Long-duration windo
ws are preferred for improved sensitivity, dynamic range, and SNRe. Ho
wever, in this limit the elastogram is degraded due to poor resolution
. The results indicate that for nonzero strain, a window length exists
at which the variance of strain estimator attains its minima, and con
sequently the elastographic sensitivity, dynamic range and SNRe are st
rongly affected by the selected window length. Simulation results corr
oborate the theoretical results, illustrating the presence of a window
length where the strain estimation variance is minimized for a given
strain value. Multiresolution elastography, where the strain estimate
with the highest SNRe obtained by processing the pre-and post-compress
ion waveforms at different window lengths is used to generate a compos
ite elastogram and is proposed to improve elastograms. All the objecti
ve elastogram parameters (namely: SNRe, dynamic range, sensitivity and
the average elastographic resolution-defined as the crosscorrelation
window length) are improved with multiresolution elastography when com
pared to the traditional method of utilizing a single window length to
generate the elastogram. Experimental results using a phantom with a
hard inclusion illustrates the improvement in elastogram obtained usin
g multiresolution analysis.