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Small Sensor Crop Factor (DX Lens Crop Factor)


john_lai3

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Sorry guys if this topic has been discussed before but I am still a bit confused about the DX's 1.5x crop factor.

 

A 18-200mm VR DX lens means 18-200mm right?

A 70-300mm VR Lens (not DX) means 70*1.5 - 300*1.5 mm right?

 

Lets say if there is a 18-200mm VR lens and a 18-200mm VR DX lens, I would be able to get 18*1.5 - 200*1.5x mm on

the non-DX lens?

 

Thanks in advance.

 

John

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Don't think of the lens as doing the cropping...that is the sensor. The DX lenses merely are designed to spread the light onto the smaller sensor rather than a larger one (simplistic explanation ignoring other characteristics).
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A lens that is 24mm on a film camera still is a 24mm lens on a digital camera with a 1.5 factor. The difference is that the digital camera crops the FIELD OF VIEW to what a 36mm lens would see. You are only using the the center 2/3 of the lens.
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Nikon labels SLR/DSLR lenses by their actual focal lengths. They do not use "35mm equivalent" focal lengths, like some

P&S cameras are labelled. They might have, but they don't. So "DX" is irrelevant in figuring out the field of view of a lens

on a DX camera.

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The "crop factor" is with respect to a 35mm film or full sized sensor. As was noted, it has nothing to do with the lens, really, but how much of the scene hits the sensor and how much is too wide or too tall and misses the sensor. This changes the field of view of the final picture. We say it has the equivalent view of a lens 1.5 times longer. So, a 50mm would end up with a field of view of a 75mm lens. Now, the issue comes when you put a DX lens, which is designed to only send light the same size as the digital sensor, on a full sized sensor or a film body. In this case it doesn't fill the whole space up, and you see that on the result.
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Ed and others - Michael's diagrams are an ideal way of explaining.

 

Take a lens, say a 50mm. With the lens you take an image of an object - say a pencil - that is 10 high in terms of the image the lens produces. This dimension does not change regardless of whether FX or DX is used.

 

However....

 

The 10 high image of the object on FX fills just under 1/2 of the total 23.9 height of the FX sensor. So it seems comparably smaller, or further away in the image, as if a wider lens was used.

 

The SAME 10 high image of the object on DX fills well on 2/3 of the total 15.8 height of the DX sensor. So it seems comparably larger, or closer in the final image, as if a tighter lens was used.

 

So you see, the image projected by the lens is identical in all respects. What changes is that FX takes and uses a different proportion of the image than DX does.

 

The metaphor that a friend used to explain it to me was to make me imagine a slide projector set up, and two rectangles of white sheet of different sizes. FX is like having a larger sheet which 'captures' most of the projected image. DX is like having a smaller sheet that allows 1/3 of the image to 'fall off' the edge (and so only shows the middle part of the image). The projected image itself doesn't change in any respect.

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I just take half the given focal length and add it to that focal length to determine the equivalent; so my 12-24 Tokina is 18-36 (6 added to

12 and 12 added to 24). My 24-85 D Nikon is 36-127.5 (12 added to 24 and 42.5 added 85, my 70-300 VR is 105-450 (35 added to 70 and

150 added to 300).

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You do not have to change the numbers on a lens. A 50mm lens is always a 50mm lens no matter what kind of camera it will fit on. The DX sensor is smaller than the FX sensor. So when you take a picture with it you must enlarge it 1.5x to make it the same size as the FX sensor. Imagine you wanted to make a 4x6 print. The DX sensor image would have to be enlarged 1.5x more then the FX sensor to have a final outcome image on the 4x6. It gives a telephoto type effect but not in actuality becase it's not a telephoto effect. It is an enlarging the file size effect. However there is really no cropping actually occurring. Nothing is being chopped off. The sensor is just smaller. The 35mm is not a cropped medium format. It's just smaller. The medium format is not a cropped 8x10 because it's just smaller.

 

Here is a great article on DOF effects with the small sensor compared to the larger FX sensor. This becomes more difficult to understand but if you shoot scenics then the 16mm DOF is vast compared to a 24mm lens on a FX sensor.

16mmx1.5=24mm. Image size looks the same but the DOF changes a lot.

 

http://alzodigital.com/online_store/digital_camera_flip_flash_bracket_umbrella_kit.htm

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The sensor is always "full-frame" (what a misnomer) so nothing is cropped. A lens doesn't know the camera it's

attached to so its inherent features such as focal length and captured angle of view don't change (the latter

fact is often overlooked).

 

Comparing DX to FX/24x36, the DX sensor is smaller. Depending on how you set up the comparison, with DX you

either get a picture with smaller coverage but the same DOF, or the same coverage with greater DOF (because you

either stayed put and use a shorter lens, or retreat a few step and use the same lens to get the identical

coverage). So the setup will dictate the results and they can be predicted a priori.

 

When you put a lens designed for FX/24x36 on a DX camera, the lens will project a larger image circle than the DX

imager can record. So a lot of light rays entering the mirror chamber have no way to go since they don't

constitute image-forming rays. This will lead to increased probability of flare and can be a real problem in

particular for

close-up work and photomacrography. Image contrast can suffer as well. A DX lens has a reduced image circle hence

suits the smaller format better.

 

Deep sigh: Comparing different formats usually ends up in the conclusion that the formats are different. A

perfect example of circular reasoning. Rethink to utilise the advantages of any particular format instead.

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Thread hijack ... Bjorn, see this question I asked back in May14th...

http://www.photo.net/bboard/q-and-a-fetch-msg?msg_id=00PU0E ... Does my 35 1.4 AIS 'lack of contrast' at 1.4, 1.8 and 2.0 and which is fine from 2.8 and smaller

on a D200, due to the thing you discuss? I had a feeling all that extra light in there, regardless of baffling, black walls

and such still amounted to flare potential (maybe flare isn't the correct word for reduced contrast?) I guess too that

light can bounce back and forth off the rear element which must lower contras?. Jim M.

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The answer is: look in the viewfinder of the camera. With either a DX or a FX camera, the viewfinder shows what portion of the imaging circle of the lens is recorded by the sensor. All images are "cropped" (recorded image format is a rectangle, imaging circle is - well - circular), *unless* there is a severe mismatch (small imaging circle on a big format, for example, a DX lens on a 6x6 camera). So the term "cropped" doesn't mean much if anything at all. Same with "crop factor". If you put an FX lens on the D3, the "factor" is 1. If the D3 is set to 5:4 format, the "factor" is 1.2(horizontal), 1 (vertical) or 1.1 (diagonal). So what is the "crop factor"?? Should the reference format be 4x5" (5x4" for our UK friends) instead? Then the crop factor would unequivocally be 2.5. The point here is that "crop factor" is not an inherent property of the lens and not even has a single-valued interpretation when aspect ratios of the format(s) differ.

 

All these terms can contribute is added confusion. In the large-format days, we thought in terms of covering power, picture angles, and occasionally, had to take the optical design into account since a true telephoto lens will have far less covering power than a non-telephoto lens of the same focal length. Typically you could use lenses designed for the 4x5" format on a 6x9(cm) camera, but the other way around needed careful consideration of the covering power (=one put the lens on the camera and looked at the ground glass for dark corners). Even the covering power wouldn't be a constant since it would for most lenses increase when the lens was stopped down. So we had to use the view finder/ground glass to decide what worked and what didn't. Wish that lesson survived to the current crop of photographers.

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This isn't high math. When you look in your DSLR viewfinder, whether it is an FX or DX lens, forget all the formulas. What you see is essentially what you get.. Some of the confusion comes from the fact that even on DX lenses they use the same focal length designations used on FX lenses. So an 18mm DX lens is only going to see what a 27mm FX lens would see on a 35mm film camera (or on a "full frame" DSLR like the D3).

 

As stated earlier, the find out what the coverage of an FX lens will be on a DX camera, simply divide the stated focal length of the lens by 2 and then multiply by 3. So, when I put my 20mm f2.8 Nikkor on my D300, divide 20 by 2 = 10, then multiply 10 x 3 =30. So on the D300 the 20mm lens sees as much as a 30mm len would see on a full frame (24x36) camera. The 20mm lens still is a 20mm lens, but the D300 only is using 2/3 of the potential coverage area. But when all is said and done the ONLY thing that really matters is what you see in your viewfinder---what you see is what you get.

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<i> It seems to me what is missing is the FX lens circle area over the DX sensor. Would this show the crop factor???</i>

<p>

People keep telling you, but you just aren't listening. The crop factor has nothing to do with the lens, and therefore nothing to do with the image circle. The crop factor exists because the sensor is smaller. Period.

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The crop factor thing is a misnomer. The DX is full frame the same as all sensors and formats. (possibly a camera like the D3 is different because it does have a portrait crop feature) If you put a 18mm lens on a DX sensor you do not need to do simple math to figure it out. Just look into the viewfinder and if you like what you see then push the button. It's still an 18mm lens and remains so no matter what kind of camera it will fit on . Yes the field of view and the DOF is different then the 35mm and the medium format and the View camera. It's also different then a 110 camera or a cell phone etc, etc. That because it is not the same format size as those other camera's.
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