how to check eye sight by using sensors in camera
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There is a RPi project around retinal imaging for clinical analysis. See here: https://hackaday.io/project/11943-open-indirect-ophthalmoscope
The definitive test for visual acuity is based on a patients response to eye charts like Snellen or LogMAR.
Autorefractors are machines which measure refractive error of the eye and aid in prescribing corrective lenses (visual targets are usually the 'hot air balloon' you see at the optician's).
There may be a way to simulate the working of this autorefractor with a RPi. You'd need to find a way to actively process the retinal reflections of the visual target and apply refractive corrections until an exact match (in-focus, no distortions) is achieved.
Some reading on computer image-processing would help.