A novel optical flow method for myocardial deformation analysis from tagged MRI
Journal of Cardiovascular Magnetic Resonance volume 14, Article number: W45 (2012)
Cardiac motion analysis can play an important role in diagnosis of cardiac disease. Tagged magnetic resonance imaging (MRI) has the ability to directly and non-invasively alter tissue magnetization and produce tag patterns on the deforming tissue [1–3]. This abstract proposes a novel optical flow method for computing the left ventricular systolic dynamics using harmonic phase (HARP)  images extracted from tagged MRI data.
Tagged MRI gives rise to spectral peaks in k-space, each peak containing information about motion in a particular direction. Harmonic images are produced by filtering the spectral peaks in the Fourier domain and extracting the spatial phase information from the inverse Fourier transform of the filtered images [4, 5].
The horizontal and vertical components of the optical flow field are jointly estimated from harmonic phase images in the two directions. The basic assumption in standard optical flow estimation is the grey value constancy. In the proposed approach, we additionally include gradient constancy and mass conservation which are applied to the image globally, and spatio-temporal smoothness which is applied in a local fashion. For more details, please refer to .
Our method has been applied to both simulated data and in vivo canine data. Two frames of simulated data and two frames of a canine study together with the computed motion fields are shown in Figure 1. Table 1 reports the angular error (AE) and relative root mean squared (RRMS) error between the calculated and the ground-truth motion fields with SinMod  and the proposed method.
We have presented a novel optical flow method for cardiac motion tracking. Four physical constraints were incorporated into the optical flow energy function to obtain a robust and accurate motion field.
Zerhouni EA, Parish DM, Rogers WJ, Yang A, Shapiro EP: “Human heart: Tagging with MR imaging--a method for noninvasive assessment of myocardial motion”. Radiology. 1988, 169 (1): 59-63.
Axel L, Dougherty L: “MR imaging of motion with spatial modulation of magnetization”. Radiology. 1989, 171 (3): 841-845.
Amini A, Prince J: Measurement of cardiac deformations from MRI: Physical and mathematical models. 2001, Dordrecht: Kluwer Academic Publishers
Osman NF, Kerwin WS, Mcveigh ER, Prince J: ”Cardiac motion tracking using CINE harmonic phase (HARP) magnetic resonance imaging”. Magnetic Resonance in Medicine. 1999, 42 (6): 1048-1060. 10.1002/(SICI)1522-2594(199912)42:6<1048::AID-MRM9>3.0.CO;2-M.
Arts T, Prinzen FW, Delhaas T, Milles JR, Rossi AC, Clarysse P: “Mapping displacement and deformation of the heart with local sine wave modeling”. IEEE Trans. on Med. Imag. 2010, 29 (5): 1114-1123.
Negahdar M, Amini A: “Planar deformable motion estimation incorporating mass conservation and image gradient constancy”. Int. Sym. On Biomedical Imaging (ISBI). 2011, 536-540.
About this article
Cite this article
Negahdar, M., Wang, H. & Amini, A. A novel optical flow method for myocardial deformation analysis from tagged MRI. J Cardiovasc Magn Reson 14 (Suppl 1), W45 (2012). https://doi.org/10.1186/1532-429X-14-S1-W45