“…Here, the circular geometry of the LV is taken advantage of using polar coordinates, so as to make the search problem one-dimensional. The design of the cost matrix, which is the main difficulty in this problem, can be based on thresholding (van der Geest et al, 1994;Liu et al, 2005), fuzzy logic (Lalande et al, 1999), gray levels, using wavelet-based enhancement (Fu et al, 2000) or radial lines (Yeh et al, 2005), or on the gradient values, used in (Cousty et al, 2010) to weight a spatio-temporal graph. In Jolly et al (2009), a shortest path algorithm is applied on an image obtained by averaging all the phases over one cardiac cycle, and contours in each individual image are recovered using minimum surface segmentation.…”