Original Research
Extended Harmonic Phase Tracking of Myocardial
Motion: Improved Coverage of Myocardium and Its
Effect on Strain Results
Sandra R.R. Tecela ˜o, MSc,
1,2
*
Jaco J.M. Zwanenburg, PhD,
2
Joost P.A. Kuijer, PhD,
2
and
J. Tim Marcus, PhD
2
Purpose: To extend the harmonic phase (HARP) tracking
method in order to track the myocardial tissue that ap-
pears near the epicardial contour during systole and reap-
pears near the endocardial contour during diastole, due to
the longitudinal motion and conical shape of the heart.
Materials and Methods: A mathematical model of myocar-
dial deformation was used to quantify the accuracy of the
extended HARP tracking and of the strain computation. For
six healthy volunteers, the number of tracked points and the
two-dimensional strain components were computed with the
extended and with the original HARP tracking version.
Results: High accuracy was obtained for the circumferential
strain (maximum error is 0.5% relative to analytical strain).
The extended version tracked 22 7%, 51 19%, and 67
20% more points than the original version on the basal, mid,
and apical slices, respectively (P 0.001 for each slice), and
yielded a decreased circumferential shortening (relative de-
crease: 2 4%, 9 4%, and 12 5% for the three slices; P
0.005 for mid and apex), at end systole. These differences in
circumferential strain were related to the more complete cov-
erage of the myocardial wall with tracked points.
Conclusion: The extended HARP tracking also provides
strain values from myocardial regions that were not covered
by the original HARP tracking.
Key Words: cardiac imaging; myocardial tagging; harmonic
phase; Hilbert transform; myocardial strain
J. Magn. Reson. Imaging 2006;23:682– 690.
© 2006 Wiley-Liss, Inc.
SINCE THE FIRST articles on MRI and myocardial tag-
ging (1,2) were published, myocardial strain analysis
with MR has become a more common procedure. The
postprocessing performed on the tagged images can go
from simple visual inspection of the tag pattern defor-
mation to the exhaustive computation of strain maps.
Important efforts have been made during the past few
years in the latter field. The published methods include
active contour models (3), optical flow methods (4,5),
template matching methods (6), and harmonic phase
(HARP) MR (7). Due to its automatic nature, HARP
tracking is a promising tool for clinical application.
HARP tracking is a phase-sensitive method to deter-
mine the tag line displacement by tracking its angle
value over the cardiac cycle, normally starting at the
time frame with an undeformed tag pattern.
Due to the combination of the conical shape of the
heart and its longitudinal motion, new tag lines appear
during the systolic phase near the epicardial contour
and other tag lines disappear near the endocardial con-
tour. Since these new tag lines are not present during
the time frame with the undeformed tag pattern, their
angle values are not available and, consequently, these
lines are not tracked. However, disregarding these tag
lines can lead to systematic errors in the strain results,
due to the transmural gradient in the strain (8).
In this work, an extended HARP tracking method is
proposed, which tracks the new tag lines that enter into
the image plane during the systolic phase and recovers
the tag lines that reappear at the endocardial contour
during the diastolic phase. With this extended method,
all parts of the myocardium are completely tracked dur-
ing all phases of the cardiac cycle.
In this study, the accuracy of the extended HARP
tracking method is reported and the effect of this
method on the strain results of human volunteers is
quantified.
MATERIALS AND METHODS
Original HARP Tracking
HARP tracking is an automatic phase-sensitive method
to track the tag pattern in the myocardium. The spatial
modulation of magnetization (SPAMM) technique (2) is
1
Institute of Biophysics and Biomedical Engineering, University of Lis-
bon, Lisbon, Portugal.
2
Department of Physics and Medical Technology, VU University Medical
Center, Amsterdam, The Netherlands.
Contract grant sponsor: Calouste Gulbenkian Foundation; Contract grant
sponsor: Portuguese Foundation for Science and Technology; Contract
grant number: SFRH/BD/3005/2000; Contract grant sponsor: Nether-
lands Heart Foundation; Contract grant number: 2000B220.
*Address reprint requests to: S.R.R.T., Institute of Biophysics and Bio-
medical Engineering, Faculdade de Cie ˆncias da Universidade de Lisboa,
Campo Grande, 1749-016 Lisboa, Portugal.
E-mail: stecelao@fc.ul.pt
Received March 9, 2005; Accepted January 26, 2006.
DOI 10.1002/jmri.20571
Published online 28 March 2006 in Wiley InterScience (www.interscience.
wiley.com).
JOURNAL OF MAGNETIC RESONANCE IMAGING 23:682– 690 (2006)
© 2006 Wiley-Liss, Inc. 682