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In article <8k4xd.3728$yK.3408@newsread3.news.atl.earthlink.net>,
Robert Scott <desmobob@earthlink.net> wrote:
>
>"A" <nospam@nospam.com> wrote in message
>news:cq2g8h$nop$1@newsg2.svr.pol.co.uk...
>> Just realised that even though manufactures give 35mm equivalents, it is
>> not
>> really true.
>>
>> If you shoot tall buildings at 17mm on digital (with 1.6 crop factor), you
>> still get distorted pics just like 17mm lenses on 35mm film cameras.
>
>
>It's the biggest misconception in digital photography.
Indeed it is, and if you, like the original poster, think that you'll get
the same area distortions from rectilinear projection with a given lens,
then I'm afraid you're suffering from said misconception yourself. ;-)
Think about where the distortion comes from. Imagine a 50mm simple lens
focusing an image on to a piece of paper below it, the paper underneath the
centre of the lens will be exactly 50mm from the optical centre of the lens.
Now with a little basic schoolboy triganometry, we can get to the bottom of
this "crop factor" business. Let's do the maths:
The paper 10mm out from the centre point will be 51mm from the optical
centre of the lens (by Pythagoras - the light is coming along the hypotenuse
of a right-angled triangle 50mm by 10mm by 51mm). The paper 20mm out from
the centre will be 54mm from the optical centre of the lens.
This means that as we get further and further from the middle, we are
"stretching" the image, causing a distortion. This is essentially the same
problem that cartographers have when they want to map the curved surface of
the Earth on to a flat map. If you represent the area accurately, the
relative angles get distorted. If you represent the angles accurately, the
area gets distorted. You can't keep both.
We have the same choice in photography - you can use a rectilinear lens (the
angles stay the same, but the areas get distorted), or you can use a fisheye
lens (the areas stay the same, but the angles get distorted). You can't keep
both, and this is where distortion comes from.
*but* the amount of distortion varies according to the distance from the
optical centre of the lens, as we've already seen. With a 35mm camera, a
point at the centre of the short edge is 18mm from the centre of the frame.
With a camera like an EOS 20D, the point at the edge of that same line is
11.25mm from the centre of the frame.
Now think about what that extra distance represents. If you think of a light
ray coming through the centre of the lens and hitting the edge of the scene,
that ray will come from an angle off to the side of arctan(18/50) = 20
degrees (draw a diagram if you can't see why).
We'll get the same level of distortion from a lens that makes a 20 degrees
angle 11.25 mm out from the centre on out 20D (since that's where the edge
of the frame is).
A bit of triganometry says that the focal length is 11.25 / tan(20) (again,
draw a diagram if you can't see why), which is 31.25mm.
So we get the same amount of distortion from a 31.25mm focal length on a 20D
as we do from a 50mm focal length on 35mm.
50 / 31.25 is, surprise surprise, 1.6, so it all works out nicely.
>People think a smaller sensor somehow changes the optics of the lens.
And, as we know, that's impossible. However, as we've seen above, the
smaller sensor *requires* different optical properties to get the same
level of distortion. Since we can't change the optics of the lens, we need
to change the lens to one that has the optics we need, that being one with a
1.6 times shorter focal length.
QED