Motion and Deformation Analysis of the Heart using Thin-Plate Splines and Density and Velocity Encoded MR Images
AbstractWe have developed a new approach for analyzing the regional and global motion and deformation of the myocardium using density and velocity encoded cardiac MR images. First, the inner and outer wall of the left ventricle muscle are segmented in the density images. A set of homogeneously distributed points on these contours of the myocardium wall is automatically generated and used as a set of landmarks. Based on the velocity information of the MR images, we predict the evolved position of these landmarks at time t 0 = t + dt. Secondly, by means of a thin-plate spline interpolation defined by the original landmarks and their evolved counterparts, we create a mapping F of the landmarks at time t into an evolved (or deformed) set of landmarks at time t 0 . By using this mapping to warp the original density image at time t into the evolved density image at time t 0 , we can assess the instantaneous deformation and motion of the myocardium avoiding the off-plane error introduced by s..