Myocardial deformation and strain can be investigated using suitably encoded cine MRI that admits disambiguation of material motion. Practical limitations currently restrict the analysis to in-plane motion in cross-sections of the heart (2D+time), but the proposed method readily generalizes to 3D+time. We propose a new, promising methodology, which departs from a multiscale algorithm that exploits local scale selection so as to obtain a robust estimate for the velocity gradient tensor field. Time evolution of the deformation tensor is governed by a first order ordinary differential equation, which is completely determined by this velocity gradient tensor field. We solve this matrix-ODE analytically, and present results obtained from healthy volunteers as well as from patient data. The proposed method requires only off-the-shelf algorithms and is readily applicable to planar or volumetric tagging MRI sampled on arbitrary coordinate grids.
Florack, L. M. J., & Assen, van, H. C. (2010). A new methodology for multiscale myocardial deformation and strain analysis based on tagging MRI. International Journal of Biomedical Imaging, 2010, 341242-1/8. . https://doi.org/10.1155/2010/341242