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Fourier tracking of myocardial motion using cine‐PC data
Author(s) -
Zhu Yudong,
Drangova Maria,
Pelc Norbert J.
Publication year - 1996
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.1910350405
Subject(s) - tracking (education) , fourier transform , harmonics , imaging phantom , interpolation (computer graphics) , fourier analysis , white noise , fast fourier transform , computer science , motion (physics) , noise (video) , frequency domain , motion compensation , computer vision , fourier series , trajectory , physics , optics , algorithm , mathematical analysis , mathematics , psychology , pedagogy , telecommunications , quantum mechanics , voltage , astronomy , image (mathematics)
Abstract A closed‐form integration method is derived and analyzed for computing motion trajectories from velocity field data, particularly as measured by phase contrast (PC) cine MR imaging. By modeling periodic motion as composed of Fourier harmonics and integrating the material velocity of the tracked point in the frequency domain, this method gives an unbiased trajectory estimate in the presence of white measurement noise and eddy current effects. When applied to cine PC data, the method can incorporate compensation for the frequency response of the cine interpolation, offering a further improvement on the tracking accuracy. In simulation and phantom studies, the estimated trajectories were in excellent agreement with the true trajectories. Encouraging results have also been obtained on data from volunteers.