Aspects on the reverse fuzzy distance transform

We extend the concept of the reverse distance transform for binary images to a fuzzy framework, leading to the reverse fuzzy distance transform. Furthermore, we introduce centres of maximal fuzzy balls intended for, e.g. fuzzy distance based skeletonization of a fuzzy object. Finally, we propose to use the reverse fuzzy distance transform as an alternative region growing process to the seeded watershed segmentation, in order to further emphasize the shape of fuzzy objects. We make a comparison using an application where the aim is to identify the cytoplasms in fluorescence microscopy images of cells.