Measuring cardiac strain using Laplacian smoothing splines

A scheme for obtaining strain maps from a set of MRI scans of the heart is presented. Using a technique known as the Spatial Modulation of Magnetization a set of MRI scans are generated with tag-lines distributed over the walls of the heart. As the heart moves, these tag-lines will move accordingly. Active contours or snakes are then used to extract the tag-lines from each MRI image, and the motion of the tag-lines determined. Laplacian smoothing splines are then used to estimate the displacement of points between the tag-lines. The strain experienced through out the heart is then a simple function of the associated displacement. Regional strain analysis is of vital importance in diagnosing different forms of heart disease, such as myocardial infarction or ``heart attack''. The method presented in this paper makes the analysis of cardiac strain feasible.