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Medical Forum / General / Vision / December 2006

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Resolution limit of the eye and cone spacing

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Gregory Wool - 11 Dec 2006 23:48 GMT
Hello ng,

I read that the diameter of a cone in the fovea is about 1 µm and that
the spacing between two adjacent cones is about 2,5 µm. Is it possible
to calculate the resolution limit of the eye by those figures (sadly,
my knowledge in mathematics isn´t deep enough to do it myself!)? Most
textbooks state that the average eye can resolve 60 seconds of visual
angle. Does this measure correspond in some way to the cone spacing?

Thanks for your input!
Gregory Wool
Neil Brooks - 12 Dec 2006 00:21 GMT
> I read that the diameter of a cone in the fovea is about 1 µm and that
> the spacing between two adjacent cones is about 2,5 µm. Is it possible
> to calculate the resolution limit of the eye by those figures (sadly,
> my knowledge in mathematics isn´t deep enough to do it myself!)? Most
> textbooks state that the average eye can resolve 60 seconds of visual
> angle. Does this measure correspond in some way to the cone spacing?

In addition to whatever responses you get, you may want to search the
group.  The subject of theoretical limits of human visual acuity comes
up pretty frequently.

Neil
For whom it's really a moot point....
Gregory Wool - 14 Dec 2006 11:54 GMT
> > I read that the diameter of a cone in the fovea is about 1 µm and that
> > the spacing between two adjacent cones is about 2,5 µm. Is it possible
> > to calculate the resolution limit of the eye by those figures (sadly,
> > my knowledge in mathematics isn´t deep enough to do it myself!)? Most
> > textbooks state that the average eye can resolve 60 seconds of visual
> > angle. Does this measure correspond in some way to the cone spacing?

In addition to whatever responses you get, you may want to search the
group. The subject of theoretical limits of human visual acuity comes
up pretty frequently.
Neil

Dear Neil,
I searched a lot but couldn´t find anything about the calculation of
the above mentioned measure. If you know about the calculation would
you please be so kind to tell me?

Gregory
otisbrown@pa.net - 12 Dec 2006 02:51 GMT
Dear Gregory,

Yes the calculations have been conducted.

In fact, a few eyes do slightly better than
the calculations would predict!

Also, in bright light, some calculations show
that the eye will be diffraction limited with
an iris of 2 mm to about 1/2 minute-of-arc.

You will get endless debate about this
subject.

Best,

Otis

> Hello ng,
>
[quoted text clipped - 7 lines]
> Thanks for your input!
> Gregory Wool
odtobe - 13 Dec 2006 22:33 GMT
What might really rock your boat too, is the fact that you can see
better with both eyes rather than one.

> Dear Gregory,
>
[quoted text clipped - 25 lines]
> > Thanks for your input!
> > Gregory Wool
otisbrown@pa.net - 14 Dec 2006 03:21 GMT
Dear OD to be,

Yes, correct again.

In fact the JAA (Joint Aviation Authority) only requires
that each eye pass the 20/30 line, but BOTH
eyes pass the 20/20 line.

In fact most DMV tests are generally written this way:

Both eyes must have 20/40 together, or

20/40 with the better eye -- with the
other eye allowed 20/50 to 20/60 -- to account
for the ususal difference of 1/2 diopter between the
nonmaly eyes.

With both eyes you see the composite of BOTH eyes.

Your are correct.

Best,

Otis

> What might really rock your boat too, is the fact that you can see
> better with both eyes rather than one.
[quoted text clipped - 28 lines]
> > > Thanks for your input!
> > > Gregory Wool
Neil Brooks - 14 Dec 2006 03:37 GMT
[snip]

Come on, Otis:  Answer them.  Man up.

http://nbeener.com/OSB_Questions.txt
 
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