Variational problems on flows of diffeomorphisms for image matching
Quarterly of Applied Mathematics
Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms
International Journal of Computer Vision
Estimating myocardial motion by 4D image warping
Pattern Recognition
Symmetric and transitive registration of image sequences
Journal of Biomedical Imaging
International Journal of Computer Vision
Diffeomorphic registration using b-splines
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
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Quantitative motion analysis from cardiac imaging is an important yet challenging problem. Most of the existing cardiac motion estimation methods ignore the fact that the myocardium is a fibrous structure with elastic anisotropy. We propose a novel method in which an anisotropic regularization energy is used to favor the motion consistency with the myofiber orientation. The myofiber direction comes from a diffusion tensor image and it is mapped to the end-diastole frame by using nonrigid registration. We implement the method based on a diffeomorphic motion estimation framework in which a spatiotemporally smooth velocity field is estimated by optimization of a variational energy. We validate the proposed method by using cine magnetic resonance imaging (MRI) datasets and echocardiography of an open-chest pig with sonomicrometry. We compare the proposed method with a temporal diffeomorphic free form deformation method without consideration of myofiber orientation. Experiments results show that the proposed motion estimation method has higher accuracy.