Devices and methods for determining a lens position for compensation of higher-order aberrations

A method for characterizing an eye of a user, the method comprising:

• at an electronic device with one or more processors and memory, the electronic device being in communication with a display device:
• providing, to the display device for display by the display device, a first image of at least a portion of the eye wearing a lens with a plurality of reference markings, the first image including at least a pupil of the eye and at least a subset of the plurality of reference markings;
• receiving one or more of:
• a first user input regarding two or more periphery reference markings;
• a second user input regarding one or more angular reference markings;
• or
• a third user input for identifying a position reference point of the eye;
• and
• obtaining a lens surface profile determined based at least in part on the one or more of the first user input, the second user input, and the third user input.