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Medical Forum / General / Vision / November 2009

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contrast sensitivity, visual acuity, and Photoshop

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Liz - 07 Nov 2009 06:18 GMT
Argh!

I've been reading about "contrast sensitivity", "visual acuity", and
wonder what the difference is.  When I try to find this out, I am
immersed in "cycles per degree".  When I try to find out what that is,
I get math.  It's so abstract.
:-(

Are these two things different?  It seems that both are measured in
"cycles per degree".

Is there a way of explaining how CS differs from VA (if it does),
using terms used in photography?

If you have poor CS or VA, what do you not see?
Resolution, shadow detail, sharpness? ...... help!

thanks,
Liz
Indianapolis IN USA

thanks,
Liz
Salmon Egg - 07 Nov 2009 12:44 GMT
In article
<00b8ae25-844f-4164-9c2b-e8aa6f5e891d@p35g2000yqh.googlegroups.com>,

> Argh!
>
[quoted text clipped - 19 lines]
> thanks,
> Liz

Sorry Liz. If you are trying to quantify these terms to an objective
standard, I do not see how you can avoid math. Otherwise, all you have
is English teach arty-fartiness. Just take the Snellen chart. Not all
letters require the same acuity to be read. The cycles per degree or
spatial frequency gets around that.

Even so, seeing is not what is called a linear physical phenomenon.
There are all kinds of things that upsets visual measurement, even those
based upon spatial frequency.

Bill

Signature

As the years go by, dying just before having to fill out a tax return has merit.

Lelouch Lamperouge - 07 Nov 2009 14:43 GMT
http://www.google.co.uk/search?hl=en&source=hp&q=define%3A+contrast+sensitivity&
btnG=Google+Search&meta=&aq=f&oq
=
http://www.google.co.uk/search?hl=en&q=define%3A+visual+acuity&btnG=Search&meta=

Easy.
Liz - 07 Nov 2009 18:29 GMT
> Sorry Liz. If you are trying to quantify these terms to an objective
> standard, I do not see how you can avoid math.

I'm not complaining about the measurement aspect.  Of course you have
to use math to measure it.
I'm saying that I can't figure out WHAT is being measured.  I mean in
terms of anything concrete that I know what it is.

Unfortunately I don't know what "spatial frequency", "transfer
modulation function", are.  Sorry!   Yes, I looked them up and read
several times.

Liz
Salmon Egg - 07 Nov 2009 21:55 GMT
In article
<da6362e5-b77e-40f4-87eb-101ce2d9df39@c3g2000yqd.googlegroups.com>,

> > Sorry Liz. If you are trying to quantify these terms to an objective
> > standard, I do not see how you can avoid math.
[quoted text clipped - 9 lines]
>
> Liz

Do you understand audio or temporal frequency? If you do, you understand
that your hearing system has limited high frequency response. That
response limits the sharpness of clicks you might be able to hear.

Similarly, your visual system has limited capability for things changing
rapidly as a function of position. Spatial frequency corresponds to the
rate at which a picture can "wave" as a function of position in the
picture. If that spatial frequency is high enough, say in black and
white, it becomes harder to tell whether you have gray rather than a
fluctuation from black to white and back.

Does that make any sense?

Bill

Signature

As the years go by, dying just before having to fill out a tax return has merit.

Robert Redelmeier - 07 Nov 2009 14:53 GMT
Liz <fraternobombus@yahoo.com> wrote in part:
> Argh!
>
> I've been reading about "contrast sensitivity", "visual
> acuity", and wonder what the difference is.  When I try to find
> this out, I am immersed in "cycles per degree".  When I try
> to find out what that is, I get math.  It's so abstract.  :-(

Some of us like that stuff !

> Are these two things different?  It seems that both are
> measured in "cycles per degree".

People often use terms imprecisely.  I would say "visual
acuity" presumes some sort of standard contrast, while
"contrast sensitivity" is somewhat more general.

> Is there a way of explaining how CS differs from VA (if it
> does), using terms used in photography?

Oh, a photog -- look up "Modular Transfer Function"  ...
maybe not if you dislike abstraction more than ignorance.
"cycles per degree" is similar to "line pairs per mm"

> If you have poor CS or VA, what do you not see?  
> Resolution, shadow detail, sharpness? ...... help!

It is all the same thing!  You can see wires against sky
with very high resolution but cannot see something big
camouflaged.  Contrast is what drives vision, and the
more of it there is, the smaller details you can see.

-- Robert
Mike Tyner - 07 Nov 2009 15:46 GMT
> I've been reading about "contrast sensitivity", "visual acuity", and
> wonder what the difference is.  When I try to find this out, I am
> immersed in "cycles per degree".  When I try to find out what that is,
> I get math.  It's so abstract.

Pretend your eye is the center of a circle. If you look at a letter "E"
several feet away, you could measure the height of the letter in degrees,
couldn't you?

The nice thing about degrees is we don't care how far away something is, as
long as it covers the same angle.

Since an "E" has three "arms" we can say, going vertically, it's black, then
white, then black, then white again, then black. That's 2.5 black/white
"cycles", or a 2.5-cycle "square wave grating." If the E is one degree tall,
it's 2.5 cycles/degree.

If the letter E is very blurry, you have something that isn't solid
black-white-black, but rather lighter-darker-lighter etc, plotting a "sine
wave" pattern if you graph the brightness. Patterns of darker-lighter-darker
are called "sine wave gratings."

"Contrast sensitivity" explores how well you see the pattern when it's made
up of fainter and fainter shades of gray. It's typically tested with
sine-wave patterns but you can also gray out a pattern of solid bars without
blurring it, or use a gray snellen chart, for a similar effect.

-MT
Liz - 07 Nov 2009 19:28 GMT
Mike, your explanation is SO much better than those articles!

> > I've been reading about "contrast sensitivity", "visual acuity", and
> > wonder what the difference is.
>
> Pretend your eye is the center of a circle. If you look at a letter "E"
> several feet away, you could measure the height of the letter in degrees,
> couldn't you?

Degrees as in 0 to 360?  The way astronomers say something is "15
degrees above the horizon"?   I think so.  In other words, straight
ahead is 0, straight overhead is 90, and the space in between is
divided into 90 equal pieces...

> The nice thing about degrees is we don't care how far away something is, as
> long as it covers the same angle.

Yes, I see how the distance wouldn't matter.
OK.

> Since an "E" has three "arms" we can say, going vertically, it's black, then
> white, then black, then white again, then black. That's 2.5 black/white
> "cycles", or a 2.5-cycle "square wave grating." If the E is one degree tall,
> it's 2.5 cycles/degree.

So a "cycle" is about changes in appearance.  From black to white, or
silver to pink, or any other change that's visibly different from
what's next to it?
And the number of "cycles" is the number of pairs of distinguishable
objects?
Would  black green white pink white grey orange blue be 4 cycles?

> If the letter E is very blurry, you have something that isn't solid
> black-white-black, but rather lighter-darker-lighter etc, plotting a "sine
> wave" pattern if you graph the brightness. Patterns of darker-lighter-darker
> are called "sine wave gratings."

OK.  Are they described using cycles too?

> "Contrast sensitivity" explores how well you see the pattern when it's made
> up of fainter and fainter shades of gray. It's typically tested with
> sine-wave patterns but you can also gray out a pattern of solid bars without
> blurring it, or use a gray snellen chart, for a similar effect.

OK.

Try this:
You have a white piece of paper with horizontal black bars on it.
Someone walks further and further away with this piece of paper.
Finally they are so far away that you cannot see the bars; you only
see the whole paper as grey.
That is an example of a limit of your visual acuity.
Right?
(In Photoshop I would call this "resolution".)

Suppose instead of black and white, you have black and dark grey.  You
can tell  them apart when the paper is near you.
The person walks away.
They haven't walked very far - nowhere near as far as they went with
the black and white paper - when you can no longer see any barring.
The whole paper looks one dark color.
This is a failure in contrast sensitivity?
(In Photoshop I would call this "tonal contrast".)

But..... hmmmm.

I feel as though there is a lot more but I have to think of how the
situations differ.
I think there must be interactions between being able to discern a
sharp edge and being able to see a tonal difference.

Liz
Mike Tyner - 08 Nov 2009 01:09 GMT
> Degrees as in 0 to 360?  The way astronomers say something is "15
> degrees above the horizon"?   I think so.  In other words, straight
> ahead is 0, straight overhead is 90, and the space in between is
> divided into 90 equal pieces...

BinGO gurlie.

> So a "cycle" is about changes in appearance.  From black to white, or
> silver to pink, or any other change that's visibly different from
> what's next to it?

That's the principle, absolutely.

> Would  black green white pink white grey orange blue be 4 cycles?

Generally a "cycle" would be a repetition, any repetition.

But if we limit our analysis to "cycles" we can plot as waves, then the math
becomes MUCH simpler, because we already have mathematics for waves. The
same trigonometry works for all waves, in electricity, water, and music, as
well as light.

>> wave" pattern if you graph the brightness. Patterns of
>> darker-lighter-darker
>> are called "sine wave gratings."
>
> OK.  Are they described using cycles too?

Absolutely. "Cycles per degree" is a unit of spatial frequency, the
frequency of a pattern repeating across space.

> Try this:
> You have a white piece of paper with horizontal black bars on it.
[quoted text clipped - 4 lines]
> Right?
> (In Photoshop I would call this "resolution".)

That's precisely correct- resolution in cycles per degree.

Then you also realize resolution is not contrast.

Low contrast targets can be sharp.

Blurry targets can have 100% contrast (blackest at 0, whitest at 1).

In photography, the emulsion or the CCD will record pixel-for-pixel what it
sees.

The retina is different. It distills "pixel" information into signals about
borders with orientation and direction of motion. Contrast plays a role, as
does movement, dark adaptation, retinal eccentricity, and age. Sorry I
wander, but no borders=no vision.

> Suppose instead of black and white, you have black and dark grey.  You
> can tell  them apart when the paper is near you.

That's "low contrast." But still square-wave, right, because it's
well-focused letters, right?

> The person walks away.
> They haven't walked very far - nowhere near as far as they went with
> the black and white paper - when you can no longer see any barring.
> The whole paper looks one dark color.
> This is a failure in contrast sensitivity?

Well, it's a failure in *sensitivity." In this case you're confounding two
variables and you don't know which had more effect, contrast or resolution.

Put that letter on a new photoshop layer, reduce the contrast until you can
barely-barely see the letter. That's testing _contrast_ specifically.

> (In Photoshop I would call this "tonal contrast".)

But you wouldn't confuse it with resolution.

In this particular situation, you have three or more variables and you must
control them.

Have a glimpse at http://www.contrastsensitivity.net/csc.html.

Those are all clinical CS tests that are done in controlled circumstances.

CS would be tedious and difficult for creating eyeglass prescriptions. CS
testing is done with corrected vision, because CS studies are more
neurological, functional testing for the retina and optic nerve. Refractive
blur (resolution effects) would be artifact.

> I think there must be interactions between being able to discern a
> sharp edge and being able to see a tonal difference.

You are precisely right. And we're talking about the same thing.

Spatial frequency is how many cycles per degree.

Sharp edges and snellen charts are considered square waves in the
laboratory.

Round edges, blurry images, behave like sine waves and trigonometry applies
like everywhere else there are sine waves. But it's the "spatial" domain and
not "temporal" - the x-axis is distance, not time.

Treating space like time, we get some interesting conclusions.

Like, mathematically, a true 90-degree square wave has infinite frequencies
at its corners. In music, you hear this in the "buzz" differentiating a
square or triangular waveform from a sinusoidal one.

Fun, huh?

-MT, terminally geek
Liz - 11 Nov 2009 01:50 GMT
>Treating space like time, we get some interesting conclusions......

No no  - time (and sounds) confuse me more!   Please, let's stick with
only what the eyeball can detect.....

>> So a "cycle" is about changes in appearance.  From black to white, or  silver to pink, or any other change that's visibly different from  what's next to it?

> That's the principle, absolutely.

>> Would  black green white pink white grey orange blue be 4 cycles?

> Generally a "cycle" would be a repetition. ...... "Cycles per degree" is a unit of spatial frequency, the frequency of a pattern repeating across space.

OK.  But what if it never repeats?   Say that you look in front of
you, left to right.  You see a green leaf next to a brown leaf next to
open sky next to grey bark next to a yellow leaf.  Nothing has
repeated, so how many cycles do you call it?   (Or do we not want to
go there?)

>>Try this:

>>You have a white piece of paper with horizontal black bars on it.  Someone walks further and further away with this piece of paper.  Finally they are so far away that you cannot see the bars; you only  see the whole paper as grey.  That is an example of a limit of your visual acuity.  Right?   (In Photoshop I would call this "resolution".)

> That's precisely correct- resolution in cycles per degree.

>Then you also realize resolution is not contrast.

Of course not.

>Low contrast targets can be sharp.

Yes.

>Blurry targets can have 100% contrast (blackest at 0, whitest at 1).

Yes.  (Except, I tend to call this "full spread of tonal values",
because I picture "contrast" as having to do mainly with edges.  But
"contrast" also means differences in light/dark.  "Contrast" is a word
with too many meanings.)

>In photography, the emulsion or the CCD will record pixel-for-pixel what it
sees. The retina is different. It distills "pixel" information into
signals about
borders......

Yes, I have heard that our brain "notices" edges.  That's why
Photoshop has "sharpening".
(Bumblebees see edges well, too.)

> Contrast plays a role, as does movement...... but no borders=no vision.

I didn't know it was that extreme, but OK.

>> Suppose instead of black and white, you have black and dark grey.  You can tell  them apart when the paper is near you.

>That's "low contrast." But still square-wave, right, because it's well-focused letters, right?

Right.  Crisp, clean edges.

>> The person walks away.  They haven't walked very far - nowhere near as far as they went with  the black and white paper - when you can no longer see any barring.  The whole paper looks one dark color.  This is a failure in contrast sensitivity?

>Well, it's a failure in *sensitivity." In this case you're confounding two
variables and you don't know which had more effect, contrast or
resolution.

Oh no.  That's what I was afraid of.

>> I think there must be interactions between being able to discern a sharp edge and being able to see a tonal difference.

>You are precisely right. ....

OK.

>In this particular situation, you have three or more variables and you must
control them.

What's the third variable here?

> www.contrastsensitivity.net/csc.html
>Those are all clinical CS tests that are done in controlled circumstances.

OH.
Yes, I see what they mean.   (OMG - they want $1600 for a chart!!!)

I see visually what the charts are trying to do.

Howeer, when I look at an MTF graph, I still don't quite follow what
is being measured.  The horizontal axis is in spatial cycles per
degree.  We know what that is.
The vertical axis is always 1 to 100 percent, but...
percent of WHAT?

:-(

Liz
Liz - 11 Nov 2009 01:51 GMT
(sorry, I still can't get Google to do hard returns properly)
L.
Dr Judy - 11 Nov 2009 04:07 GMT
> Howeer, when I look at an MTF graph, I still don't quite follow what
> is being measured.  The horizontal axis is in spatial cycles per
> degree.  We know what that is.
> The vertical axis is always 1 to 100 percent, but...
> percent of WHAT?

Contrast.  100% contrast is black on white.  1% is very light gray on
very light gray.

In simple terms, It is a graph of acuity vs contrast.

Judy
Liz - 11 Nov 2009 05:54 GMT
> > Howeer, when I look at an MTF graph, I still don't quite follow what
> > is being measured.  The horizontal axis is in spatial cycles per
[quoted text clipped - 6 lines]
>
> In simple terms, It is a graph of acuity vs contrast.

And each point on the graph represents the best the person can see?

So the bigger the percentage contrast, the more cycles per degree they
should be able to see....
So the dots on the graph should go from the lower left to the upper
right....?

That is, if there is a dot at 10% and 4 cycles, that suggests that the
person can also see 20% at 4 cycles, 30% at 4 cycles, 40% at 4 cycles,
etc.

And it suggests that they should be able to see 10% at 3 cycles, 2
cycles.

True?

But the lines don't usually look that way; they're humpier.

Liz
Salmon Egg - 11 Nov 2009 12:56 GMT
It would be helpful to look at

http://en.wikipedia.org/wiki/Test_card.

In particular, look at the gallery. There are a number of examples of
wedged lines in which the spatial frequency varies along the wedge.
After looking at that, more meaningful quesgtions can be formulated.

Bill

Signature

As the years go by, dying just before having to fill out a tax return has merit.

Dr Judy - 12 Nov 2009 05:32 GMT
> > In simple terms, It is a graph of acuity vs contrast.
>
> And each point on the graph represents the best the person can see?

A particular point will represent the lowest contrast at which that
particular acuity (cycles per degree) can still be detected.

> So the bigger the percentage contrast, the more cycles per degree they
> should be able to see....

You would think so but it turns out the human visual system doesn't
work that way. Both very high and very low contrast results in fewer
cycles per degree.  Some vision disorders impact certain cycles more
than others.

> So the dots on the graph should go from the lower left to the upper
> right....?

Not always.  It's called the contrast sensitivity function because it
is a complex curve, not a simple line.

> That is, if there is a dot at 10% and 4 cycles, that suggests that the
> person can also see 20% at 4 cycles, 30% at 4 cycles, 40% at 4 cycles,

Not always.  If you want to know if the person can see 4 cycles at
40%, you need to measure it.

> And it suggests that they should be able to see 10% at 3 cycles, 2
> cycles.

No always.  If you want to know if the person can see 3 cycles with
10% contrast, you need to measure it.

> But the lines don't usually look that way; they're humpier.

Yup.  It's a complex curve.

Judy
Salmon Egg - 11 Nov 2009 12:47 GMT
In article
<42ed73b7-73db-4f0a-8825-4e48bfcad815@k4g2000yqb.googlegroups.com>,

> In simple terms, It is a graph of acuity vs contrast.

What is the (preferably quantitative) definition of acuity?

Bill

Signature

As the years go by, dying just before having to fill out a tax return has merit.

Mike Tyner - 11 Nov 2009 05:39 GMT
> OK.  But what if it never repeats?   Say that you look in front of
> you, left to right.  You see a green leaf next to a brown leaf next to
> open sky next to grey bark next to a yellow leaf.  Nothing has
> repeated, so how many cycles do you call it?   (Or do we not want to
> go there?)

You can go there, it's just hard to put into numbers.

Vision is made up of borders and edges of all sorts. But you asked about
spatial frequency and that's a mathematical term and explaining it requires
a narrow definition for "cycles" as simple, uniform and repetitive.

> Yes.  (Except, I tend to call this "full spread of tonal values",

In the darkroom we called it "the zone."

>because I picture "contrast" as having to do mainly with edges.

Bzzzt. Contrast has nothing to do with edges. Contrast is the range, the
difference between the blackest black and the whitest white in your image.
Mathematically it's (max-min)/max IIRC.

Boost the contrast to max, and you only black and white with no grays.

Reduce contrast to minimum and you get 18% gray fog. Right up until the
image fades to gray, if there are edges detectable they are not necessarily
_blurred._

> But "contrast" also means differences in light/dark.
> "Contrast" is a word with too many meanings.

I think you'll find the dictionary definitions are less ambiguous.

>> Contrast plays a role, as does movement...... but no borders=no vision.
> I didn't know it was that extreme, but OK.

Yes. Vision fades out in about 15 seconds if you can completely immobilize
the eye. It keeps moving because it has to.

> What's the third variable here?

Contrast, resolution, and blur related to distance (optical focus.) It has
the effect of reducing both resolution and contrast.  Other variables are
motion, intensity, and eccentricity off the macula.

> Howeer, when I look at an MTF graph, I still don't quite follow what
> is being measured.  The horizontal axis is in spatial cycles per
> degree.  We know what that is.
> The vertical axis is always 1 to 100 percent, but...
> percent of WHAT?

To get a graph of sensitivity, you measure threshold (minimum visible
contrast) then turn the graph over, so it's y=1/threshold.

Then there's an upper limit (100%) because it's where contrast is zero.

> :-(

:-)
Liz - 11 Nov 2009 06:12 GMT
> > OK.  But what if it never repeats?   Say that you look in front of
> > you, left to right.  You see a green leaf next to a brown leaf next to
[quoted text clipped - 3 lines]
>
> You can go there, it's just hard to put into numbers.

I can imagine that a whole landscape (as when you're hunting birds)
would be a mess to describe.

> > Yes.  (Except, I tend to call this "full spread of tonal values",
>
[quoted text clipped - 3 lines]
>
> Bzzzt. Contrast has nothing to do with edges. Contrast is the range,

THAT'S it.   The *range* of tonal values.   (What you fix with
Levels.)

> Mathematically it's (max-min)/max IIRC.

ACK!!  Mike, stop!

> >> Contrast plays a role, as does movement...... but no borders=no
vision.
> > I didn't know it was that extreme, but OK.
>
> Yes. Vision fades out in about 15 seconds if you can completely immobilize
> the eye. It keeps moving because it has to.

Ah... I've heard that people see stationary lights in the dark as
moving around, and think they're UFOs because they seem to be moving,
when in fact it's their eye moving with no other visual reference
points because everything else is dark.
(I won't comment on the other reasons they think it's a UFO.)

> > What's the third variable here?
>
> Contrast, resolution, and blur related to distance (optical focus.) It has
> the effect of reducing both resolution and contrast.  Other variables are
> motion, intensity, and eccentricity off the macula.

Leave those last three out for the moment.   Blur related to
distance?  You don't mean light scattering around in the air between
the person and the object...?
I can't Google optical focus without abandoning this message.

> > Howeer, when I look at an MTF graph, I still don't quite follow what
> > is being measured.  The horizontal axis is in spatial cycles per
[quoted text clipped - 4 lines]
> To get a graph of sensitivity, you measure threshold (minimum visible
> contrast) then turn the graph over, so it's y=1/threshold.

I'm confused, I need to think about this.

Liz
Liz - 14 Nov 2009 05:16 GMT
> > > when I look at an MTF graph, I still don't quite follow what is being measured.  The horizontal axis is in spatial cycles per degree.  

> > > The vertical axis is always 1 to 100 percent, but percent of WHAT?

> > To get a graph of sensitivity, you measure threshold (minimum visible contrast) then turn the graph over, so it's y=1/threshold.

I'm not sure how minimum visible contrast is measured.   If the person
sees a 40% contrast, is that .40?

Can you give me one or two points on the graph as an example?

That is, what's X, what's Y, and how did you get them?

(Make up a number, it need not represent a real case of anyone's
vision.)

I feel like I'm almost there but not quite.

thanks,
Liz
Mike Tyner - 14 Nov 2009 18:01 GMT
>I'm not sure how minimum visible contrast is measured.   If the person
>sees a 40% contrast, is that .40?

>Can you give me one or two points on the graph as an example?

On the x axis is frequency, cycles per degree, big gratings at the low end
and small gratings at the high end.

On the y axis is sensitivity. Think of it as "threshhold" where a certain
minimal amount of contrast is necessary to see the grating at that
frequency.

Across the x axis you'll get a slightly concave curve, tails upward at each
side becase more contrast is necessary to see at higher and lower
frequencies.

Now just invert the graph and call the y axis "sensitivity" which is the
inverse of threshhold.

-MT
Liz - 19 Nov 2009 07:53 GMT
> >I'm not sure how minimum visible contrast is measured.   If the person
> >sees a 40% contrast, is that .40?
> >Can you give me one or two points on the graph as an example?
>
> On the x axis is frequency, cycles per degree, big gratings at the low end
> and small gratings at the high end.

Right.

> On the y axis is sensitivity. Think of it as "threshhold" where a certain
> minimal amount of contrast is necessary to see the grating at that
> frequency.

Oh.

> Across the x axis you'll get a slightly concave curve, tails upward at each
> side becase more contrast is necessary to see at higher and lower
> frequencies.

Yes.

> Now just invert the graph and call the y axis "sensitivity" which is the
> inverse of threshhold.

OH... so that's what you meant by "turn it upside down".  Yes, most of
these graphs seem to have "inverted smiley" curves.

The graphs seem to use a variety of different units to express
"sensitivity".  (Or whatever they are calling whatever is on their Y
axis.)   Some use the log of something.  A lot don't even tell what
units Y is in (my 5th-grade math teacher would flunk them
instantly).   I'm not sure what units are typical.   Will look at more
graphs and see if there is some sort of standard pattern.

thanks,
Liz
Dr Judy - 15 Nov 2009 17:19 GMT
> Can you give me one or two points on the graph as an example?
>
> That is, what's X, what's Y, and how did you get them?

Have you looked at the Wikipedia on CSF, it includes a diagram that
might help you:

http://en.wikipedia.org/wiki/Contrast_(vision)#Contrast_sensitivity

Judy
Liz - 19 Nov 2009 08:00 GMT
> Have you looked at the Wikipedia on CSF, it includes a diagram that
> might help you:
>
> http://en.wikipedia.org/wiki/Contrast_(vision)#Contrast_sensitivity

Yes, this is one of the best visual explanations I've seen - worth a
thousand words!...
It's interesting to put a piece of cardboard over your screen,
covering the bottom half of the diagram, and move it towards the top
and back towards the bottom to find out where you can start to see
contrast.

cheers,
Liz
 
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