The motivation of alignment and skeletonness terms is shown as prevention of two cases of red and blue dashed lines that do not best match the microvasculature centerline. These edges are shown on a 2-D binarized frame with the intended graph overlaid by solid gray lines. Although αL,l and αL,m are rather large (edges being majorly located on the foreground), low skeletonness, small αS,l, of the blue line and low alignment with the local structure, small αA,m, of the red line make them undesirable results. (For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.)