Cut melon into slices, scrape out seeds, cut away peel. Cut the slices into small pieces.
Bring lime juice, zest and sugar to a boil, form into a hand blender with the melon pieces and puree.
Cool and process in the sorbet machine.
Rene Gagnaux: Very important is that the melon is really fully ripe!!! Which variety: according to your mood! The more aromatic, of course, the better!