Morphology and variability of the Titan ringlet and Huygens ringlet edges

► We study the shapes of the sharp edges of two ringlets in Saturn's ring system. ► We model the sharp edges with a sigmoid function in the radial distribution of material. ► We find radial transition scales of 15-250 m. ► We are unable to constrain the thickness of the ringlets to less than 200 m. ► We find large variations in edge sharpness and structure suggesting azimuthal and/or temporal variability.