A Projection Operator for the Restoration of Divergence-Free Vector Fields
IEEE Transactions on Pattern Analysis and Machine Intelligence
Variational problems on flows of diffeomorphisms for image matching
Quarterly of Applied Mathematics
Estimating 3D Strain from 4D Cine-MRI and Echocardiography: In-Vivo Validation
MICCAI '00 Proceedings of the Third International Conference on Medical Image Computing and Computer-Assisted Intervention
Isotropic Energies, Filters and Splines for Vector Field Regularization
Journal of Mathematical Imaging and Vision
FIMH'07 Proceedings of the 4th international conference on Functional imaging and modeling of the heart
Non-parametric diffeomorphic image registration with the demons algorithm
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention
Non-invasive activation times estimation using 3D echocardiography
STACOM'10/CESC'10 Proceedings of the First international conference on Statistical atlases and computational models of the heart, and international conference on Cardiac electrophysiological simulation challenge
MICCAI'10 Proceedings of the 13th international conference on Medical image computing and computer-assisted intervention: Part II
MICCAI'10 Proceedings of the 13th international conference on Medical image computing and computer-assisted intervention: Part I
MIAR'10 Proceedings of the 5th international conference on Medical imaging and augmented reality
International Journal of Computer Vision
Trials on tissue contractility estimation from cardiac cine MRI using a biomechanical heart model
FIMH'11 Proceedings of the 6th international conference on Functional imaging and modeling of the heart
Computer Vision and Image Understanding
FIMH'13 Proceedings of the 7th international conference on Functional Imaging and Modeling of the Heart
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Analysing heart motion provides crucial insights on the condition of the cardiac function. Tagged-MRI and 2D-strain ultrasound enable quantitative assessment of the myocardium strain. But estimating 3D myocardium strain from cine-MRI remains attractive: cine-MRI is widely available and it yields detailed 3D+t anatomical images. This paper presents an image-based method to estimate myocardium strain from clinical short-axis cine-MRI. To recover non-apparent cardiac motions, we improve the diffeomorphic demons, a non-linear registration algorithm, by adding two physical constraints. First, myocardium near-incompressibility is ensured by constraining the deformations to be divergence free. Second, myocardium elasticity is modelled using smooth vector filters. The proposed physically-constrained demons are compared with the diffeomorphic demons and evaluated in a healthy subject against tagged MRI. The method is also tested on a patient with congenital pulmonary valve regurgitations and compared with 2D-strain measurements. In both cases, obtained results correlate well with ground truth. This method may become a useful tool for cardiac function evaluation.