Giraud et al. propose a new measure to evaluate superpixel regularity. The main motivation of their work is that the current measure, namely compactness, which compares the superpixel area to a circle area with the same perimeter is not ideal for superpixels and images – as there is a clear prior towards rectangular or polygonal superpixels and these should also be evaluated as being regular. Giraud et al. Then introduce the shape regularity criterion (SRC) which is computed as the multiplication of three “sub-measures” (per superpixel, before averaging):
Overall, Figure 1 illustrates the newly introduced measure. Unfortunately, they do not include many algorithms in their experimental evaluation, see the paper.