Erik Kaffehr
Veteran Member
Intention here is to discuss how formats differ, possibly viewed from an engineering point of view.
Back in say 2006 sensors were expensive. Most somewhat affordable digital cameras used APS-C size sensors and full frame 24x36 was rare. Most vendors used CCD sensors, with Canon being the sole champion for CMOS.
There was a small market for very expensive MFD backs, costing like 20-30k$US using CCD sensors in sizes up to 37x49 mm. (Later 54x41 mm).
Things are now different, all modern digital cameras I know of use CMOS sensors, mostly made by Sony. A smaller medium format size is now quite affordable. There is even a set of cameras using essentially the same pixel design, in all sizes from APS-C to 54x41 mm.
We may ask, how does sensor size matter? Let's compare the sizes:

Sensor sizes compared.
The most interesting numbers are the area factor, that decides how much the sensor can collect and 'Relative magnification' that is a parameter for achievable sharpness.
Let's take a look at the magnification stuff.

This is MTF I measured near axis on two lenses of mine. Blue is my Sony 90/2.8G on my A7rII and red is my Sonnar 180/4 on my 37x49 mm P45+ back. Note that the Sony lens has higher resolution in absolute terms.
I don't have official MTF data for the Sony lens, but both Hasselblad and Zeiss used to have measured MTF data for their lenses.

Looking near axis and at f/8 the figures are around 0.91, 0.83 and 0.65. Very close to my measured data. Could be coincidence... Or, it may be that my data is pretty accurate.
We have seen that the Sony lens is sharper, in absolute terms. But let's look at the magnification thing. I would normally print at A2-size, that is around 16"x23".
It is often regarded that about 180PPI is needed for an excellent print. The figure corresponds to 20/20 vision at 50 cm viewing distance. So, the number of vertical pixels needed would be 16*180 -> 2880. For that the 24x36 mm format would need 60 LP/mm while my 37x49 mm sensor would need 39 lp/mm.

So, here we can see that the Sonnar on the P45+ would deliver 66% modulation while the 90/2.8G on the Sony would have around 58% modulation. That may be a visible difference. What we see is that the larger format needs less magnification.

We can use line pairs (or cycles) per 'picture height' instead, that takes the magnification into account. The 1443 cy/PH figure is very close to our 2880 pixels needed for 16"x23". Note that red and blue lines are overlapping on the left side. The left side is dominant for visual 'acutance' so viewed at 'normal' viewing distances these images may be perceived as equally sharp.

This shows a 'selection histogram' covering the grey fields of the ColorChecker. Each field shows up as a 'bell curve'. The bright patches have narrow 'bell curves' and the dark patches have wide 'bell curves'. Note that each bell curve covers hundreds of different data numbers.
The 'bell curves' are caused by what is called shot noise, the random sampling of photons. That means that more photons captured improves the signal to noise ratio.
If we have a larger sensor, it can detect more photons at the same exposure. This may not be very noticeable in pictures shot at base ISO in good light. But assuming that all other things are equal, we would be able to use higher ISO or underexposure more on a larger sensor.

Here we compare Fujifilm X-T4 pushed 4EV, 24x36 mm pushed 5EV and Fujifilm GFX 100 pushed 6EV. The results are similar. Unfortunately, the GFX 100 shows a banding pattern as the firmware tries to hide possible artifacts from the metal masks delivering PDAF functionality. We can see that the noise levels are similar.
Technically, rising the ISO is just underexposure, so we could use the GFX at higher ISO than say the A7rIV. Also, we may need to reduce exposure to protect highlights. A larger format would allow us to reduce exposure more and still keep good detail in the dark parts of the image.
Let's look at image quality:

This is simulated A0 at 180 PPI. The crop show detail good for judging sharpness and resolution. The Fujifilm X-T4 yields remarkably good results for 26MP on APS-C. It may be that the GFX 50 is a bit to sharp. That would probably be do the the reduced pixel aperture on the GFX 50 sensor. It would need less sharpening. Here I kept sharpening the, though.
Now let's look at aliasing:

In a way, Fujifilms X-T4 with it's X-trans stands out. It avoid color aliasing. The Sony A7III has a lot of color aliasing while the effect of the OLP filter is quite visible. That camera needs smaller pixel. The Sony A7rIV still shows false color. Fujifilm GFX 100 and Phase One 3100MP yields best detail. The Fujifilm GFX 50 shows heavy color aliasing, a combination of large pixels, sharp lens, small pixel aperture and no OLP filtering. But, this kind of subject is rather rare.
Reading the fine print...

The observations I may make is that:
Erik
--
Erik Kaffehr
Website: http://echophoto.dnsalias.net
Magic uses to disappear in controlled experiments…
Gallery: http://echophoto.smugmug.com
Articles: http://echophoto.dnsalias.net/ekr/index.php/photoarticles
Back in say 2006 sensors were expensive. Most somewhat affordable digital cameras used APS-C size sensors and full frame 24x36 was rare. Most vendors used CCD sensors, with Canon being the sole champion for CMOS.
There was a small market for very expensive MFD backs, costing like 20-30k$US using CCD sensors in sizes up to 37x49 mm. (Later 54x41 mm).
Things are now different, all modern digital cameras I know of use CMOS sensors, mostly made by Sony. A smaller medium format size is now quite affordable. There is even a set of cameras using essentially the same pixel design, in all sizes from APS-C to 54x41 mm.
We may ask, how does sensor size matter? Let's compare the sizes:

Sensor sizes compared.
The most interesting numbers are the area factor, that decides how much the sensor can collect and 'Relative magnification' that is a parameter for achievable sharpness.
Let's take a look at the magnification stuff.

This is MTF I measured near axis on two lenses of mine. Blue is my Sony 90/2.8G on my A7rII and red is my Sonnar 180/4 on my 37x49 mm P45+ back. Note that the Sony lens has higher resolution in absolute terms.
I don't have official MTF data for the Sony lens, but both Hasselblad and Zeiss used to have measured MTF data for their lenses.

Looking near axis and at f/8 the figures are around 0.91, 0.83 and 0.65. Very close to my measured data. Could be coincidence... Or, it may be that my data is pretty accurate.
We have seen that the Sony lens is sharper, in absolute terms. But let's look at the magnification thing. I would normally print at A2-size, that is around 16"x23".
It is often regarded that about 180PPI is needed for an excellent print. The figure corresponds to 20/20 vision at 50 cm viewing distance. So, the number of vertical pixels needed would be 16*180 -> 2880. For that the 24x36 mm format would need 60 LP/mm while my 37x49 mm sensor would need 39 lp/mm.

So, here we can see that the Sonnar on the P45+ would deliver 66% modulation while the 90/2.8G on the Sony would have around 58% modulation. That may be a visible difference. What we see is that the larger format needs less magnification.

We can use line pairs (or cycles) per 'picture height' instead, that takes the magnification into account. The 1443 cy/PH figure is very close to our 2880 pixels needed for 16"x23". Note that red and blue lines are overlapping on the left side. The left side is dominant for visual 'acutance' so viewed at 'normal' viewing distances these images may be perceived as equally sharp.

This shows a 'selection histogram' covering the grey fields of the ColorChecker. Each field shows up as a 'bell curve'. The bright patches have narrow 'bell curves' and the dark patches have wide 'bell curves'. Note that each bell curve covers hundreds of different data numbers.
The 'bell curves' are caused by what is called shot noise, the random sampling of photons. That means that more photons captured improves the signal to noise ratio.
If we have a larger sensor, it can detect more photons at the same exposure. This may not be very noticeable in pictures shot at base ISO in good light. But assuming that all other things are equal, we would be able to use higher ISO or underexposure more on a larger sensor.

Here we compare Fujifilm X-T4 pushed 4EV, 24x36 mm pushed 5EV and Fujifilm GFX 100 pushed 6EV. The results are similar. Unfortunately, the GFX 100 shows a banding pattern as the firmware tries to hide possible artifacts from the metal masks delivering PDAF functionality. We can see that the noise levels are similar.
Technically, rising the ISO is just underexposure, so we could use the GFX at higher ISO than say the A7rIV. Also, we may need to reduce exposure to protect highlights. A larger format would allow us to reduce exposure more and still keep good detail in the dark parts of the image.
Let's look at image quality:

This is simulated A0 at 180 PPI. The crop show detail good for judging sharpness and resolution. The Fujifilm X-T4 yields remarkably good results for 26MP on APS-C. It may be that the GFX 50 is a bit to sharp. That would probably be do the the reduced pixel aperture on the GFX 50 sensor. It would need less sharpening. Here I kept sharpening the, though.
Now let's look at aliasing:

In a way, Fujifilms X-T4 with it's X-trans stands out. It avoid color aliasing. The Sony A7III has a lot of color aliasing while the effect of the OLP filter is quite visible. That camera needs smaller pixel. The Sony A7rIV still shows false color. Fujifilm GFX 100 and Phase One 3100MP yields best detail. The Fujifilm GFX 50 shows heavy color aliasing, a combination of large pixels, sharp lens, small pixel aperture and no OLP filtering. But, this kind of subject is rather rare.
Reading the fine print...

The observations I may make is that:
- The Fujifilm X-Trans concept may make sense. The APS-C performs remarkably well.
- Having more megapixels may be helpful when printing large.
Erik
--
Erik Kaffehr
Website: http://echophoto.dnsalias.net
Magic uses to disappear in controlled experiments…
Gallery: http://echophoto.smugmug.com
Articles: http://echophoto.dnsalias.net/ekr/index.php/photoarticles
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