How many MPx do you want / need?

This is a really common misconception - that diffraction becomes
"worse" with higher photosite densities.

The amount of diffraction is constant no matter what the photosite
density of the sensor. Using Lens X there is no "more diffraction" at
f/11 on a 24MP sensor than there is at f/11 on a 12MP sensor. There
is no more or less diffraction at any aperture.
What you've written above is absolutely true, but relevant only at
the sensor plane - prior to enlarging the image to make a print - and
thus for practical purposes, your argument is irrelvant.

Therein lies the rub: We make prints that are larger than our
sensors, and thus, if we make an 8x10-inch print from a capture made
by something like the Canon PowerShot G9's tiny 12 MP sensor - which
requires a 33.42x enlargement factor, diffraction's Airy disks at any
given aperture will be enlarged by a factor of 33.42x in the final
print. But if we instead use a capture from a full frame 12 MP
sensor (Nikon D3, Canon EOS 5D, etc.) that same 8x10-inch print can
be produced at an enlargement factor of only 7.09x - the Airy disks
at the two sensors will be indentical in size when f/11 is used with
both camera lenses, but the Airy disks will be a lot smaller in the
print that required a lot less enlargement.

Thus, as seen in the final print, the diffraction suffered at f/11
with a tiny 12 MP sensor is worse than the diffraction suffered with
a large 12 MP sensor using f/11 - thanks to the difference in
enlargement factor required to produce like-sized prints.

Mike Davis
http://www.AccessZ.com
You are talking about the effect of sensor size, and by implication viewing magnification, rather than photosite density. The lesson to be drawn is if you want to minimise the effects of diffraction get a camera with a big sensor with lots of pixels. Unfortunately, a lot of people are under the misapprehension that they need to buy a camera with a sensor with not many pixels, which is not the best choice.

--
Bob
 
34mp in MF. That would give me a 7200 pixel wide file, that would print to 300dpi on a 16x24 and 240 dpi on a 20x30. There just isn’t enough sensor area to provide the resolution with current 35mm FF equipment.

Until then, I’ll stitch 3 vertical shots from my Pentax K20D, or I’ll use 4x5 sheet film.
 
Hi Bob,
You are talking about the effect of sensor size, and by implication
viewing magnification, rather than photosite density.
The formula I offered makes it clear that the f-Number at which diffraction will begin to inhibit a desired print resolution is affected only by enlargement factor, and thus sensor size indeed seems to be far more important than photosite density.

In practice, however, even if we start with a large sensor (i.e. full frame), every increase in the number of pixels (i.e. from 12 MP to 16 MP, or from 16 to 24...) is an invitation to make ever larger prints. And with this increase in enlargement factor comes a need to shoot with a wider aperture (smaller f-Number) to prevent diffraction from inhibiting your desired print resolution.
The lesson to
be drawn is if you want to minimise the effects of diffraction get a
camera with a big sensor with lots of pixels.
I'd rather put it this way: If you want to maximize the number of diffraction-free stops you can shoot with, select cameras having enough Megapixels to produce the print sizes you are seeking at the print resolutions you desire, but avoid cameras having sensors with high photosite densities. (Notice I've not said a word about sensor size here.)

Where do I draw the line between reasonable photosite densities and unreasonable? At about 200 pixels/mm. It's not carved in stone because some cameras are equipped with relatively faster lenses than others, but this is about where you begin to find yourself limited to using fewer than half of the f-stops available on a lens (digicam or DSLR, small sensor or large) in order to prevent diffraction from inhibiting a desired print resolution of 5 lp/mm in a print having dimensions scaled to an image resolution of 360 dpi.

Whether we're working with a 12 MP Canon PowerShot G9 (small sensor) or a 12 MP fuill-frame DSLR (large sensor), the resulting 4000x3000 pixel captures will produce like-sized 11.11 x 8.33-inch prints when scaled to an image resolution of 360 dpi without resampling. (Note that an image resolution of 360 dpi is necessary with CMOS sensors - not with Foveon - if we want to resolve 5 lp/mm worth of subject detail in the final print after suffering Bayer Algorithm and AA filter losses.)

So, in this example, the pixel count (12 MP) is dictating a maximum print size of 11.11 x 8.33 inch for those who want to resolve subject detail to 5 lp/mm in the print - no matter what size sensor they are using.

The Canon PowerShot G9's tiny 12 MP sensor has a very high pixel density of 526 pixels/mm.

A DSLR equipped with a full frame (24 x 36mm) 12 MP sensor has a wonderfully low pixel density of only 116 pixels/mm.

Diffraction-savvy PowerShot G9 owners must avoid stopping down below f/4.0 if they want to prevent diffraction from inhibiting a goal of resolving 5 lp/mm worth of subject detail in a 360-dpi, 8.33 x 11.11-inch print.

Diffraction-savvy 12 MP full frame DSLR owners can use any f-Number available on any lens up to f/18.1 without fear of inducing diffraction that would inhibit that same goal of resolving 5 lp/mm worth of subject detail in a 360-dpi, 8.33 x 11.11-inch print.

Ignoring many other factors that could prevent one from achieving a desired print resolution of 5 lp/mm, looking only at the limitations imposed by diffraction and the fact that we've only got 12 Megapixels to work with from CMOS sensors, BOTH cameras are capable of producing 8.33 x 11.11-inch prints that resolve 5 lp/mm worth of subject detail, but the one with a pixel density of 526 pixels/mm (the PowerShot G9) must shoot nearly wide open at all times, taking whatever subject speed is necessary for a correct exposure at any given IS0 setting. Equipped with even a relatively slow f/4 lens, the 12 MP full frame DSLR, having a pixel density of only 116 pixels/mm, offers the photographer a choice of the following diffraction-freee stops: f/4, f/5.6, f/8, f/11, f/16, and about half a stop further... f/18.1. Mount a lens that's faster than f/4 and the number of diffraction-free stops you can work with gets even larger.

(Repeating myself for effect...) I'd rather put it this way: If you want to maximize the number of diffraction-free stops you can shoot with, select cameras having enough Megapixels to produce the print sizes you are seeking at the print resolutions you desire, but avoid cameras having sensors with high photosite densities (densities in excess of about 200 pixels/mm).

Mike Davis
http://www.AccessZ.com
 
An interesting possibility which has been raised in other threads
would be to have a sensor with a spatial sampling frequency so as to
put it's Nyquist limit above the usable resolution of the lenses used
on it. 2um would give a Nyquist above 250 lp/mm. There are lenses
which resolve with contrast above this, but not that many.
.. not that many large format lenses. Of course, lenses designed for 1/2.5" sensors routinely resolve at that resolution.
This situation would allow the OLPF to be omitted, which could
provide enhanced image quality.
200MP cameras could be designed to give the user whatever the user wants in terms of spatial resolution and bit depth and/or compression in the output. When you start oversampling your lenses, you really don't need the kind of critical pixel-level accuracy that is needed with low pixel counts. JPEG-like compression could be done on the full-res RAW data without a hint, viewed at standard print sizes. 14 bits is overkill for current sensors at their best ISOs; a 200MP 2-micron sensor could get away with a few bits and a LUT.

The decisions could be automated, too, and the firmware could determine, based on user settings, what level of output resolution/compression is needed for the image as a whole, or even broken down into areas (out-of-focus areas can stand far more spatial loss than in-focus areas). There is no reason for anyone to say nay to high-MP sensors because they force high-MB or GB output; high oversampling is good no matter what output resolution you want. You can even have reduced-resolution RAW, which is still superior in flexibility to reduced-resolution JPEGs.
A related, and perhaps more interesting question would be 'what's the
largest size you're prepared to print from a FF (or APS-C) sensor?'
With 200MP, the big factor (other than technique and optics, of course, which can always ruin everything) is the light. If the exposure is high or the gamma is low at base ISO, those pixels can be pretty accurate and withstand fairly high magnification.

--
John

 
I guess the answer to that one depends ultimately on what the final presentation of the image you are making will be, maybe more so than the related techbical aspects. An interesting take on the question, by a pretty experienced fellow, is in a podcast at lenswork.com, entitled How to Save $29,000.

(sorry URL would not past correctly).

It is about an experience of comparing prints made from a Sony R1, and a medium format digital back, both made at 8x10.

--

'Good composition is only the strongest way of seeing the subject. It cannot be taught because, like all creative effort, it is a matter of personal growth. In common with other artists the photographer wants his finished print to convey to others his own response to his subject. In the fulfillment of this aim, his greatest asset is the directness of the process he employs. But this advantage can only be retained if he simplifies his equipment and technique to the minimum necessary, and keeps his approach free from all formula, art-dogma, rules, and taboos. Only then can he be free to put his photographic sight to use in discovering and revealing the nature of the world he lives in.'
Edward Weston, Camera Craft Magazine, 1930.

'Outside of a dog, a book is a man's best friend. Inside a dog, it's too dark to read.' G. Marx
 
Only need to print 24x36 at 300 dpi, so 24x36x300x300=77.8 MP.
What if you need to crop? What if you need to rotate or correct perspective? Oversampling the lens makes those operations more artifact-free.

So, if you have sharp enough optics and stability, your 24x36 can still stand to have greater than 300PPI in the original capture.

--
John

 
2. A camera with higher photosite density may have even better IQ
performance at slightly smaller apertures as long as the lenses are
up to the task.
The pixel-centric thought virus has a very powerful lobby. The lobby is two-faceted; there is the "100% pixel zoom" test, and the "downsizing with software that drops or unevenly weights input pixels" test.

Clearly, the higher pixel density will give more resolution well into the "diffraction-limited" zone for even the lower density, because pixel pitch is one of the many factors affecting resolution, but the last one in a series of experiences that put a photon off-course from the sharp ideal, and the smaller the pixel pitch, the less the final image is blurred by the physical binning process.

--
John

 
[snip]

Sorry, but the notion that somehow small pixels are more diffraction limited than large pixels is entirely incorrect. This issue came up in another recent thread, and I direct your attention to a post there for the proper way to analyze the issue quanititatively:

http://forums.dpreview.com/forums/read.asp?forum=1032&message=28724395

Changing photosite density by changing sensor size at fixed megapixel count, and changing photosite density for fixed sensor size, are two entirely different things.

--
emil
--



http://theory.uchicago.edu/~ejm/pix/20d/
 
...and after that, any more is a waste. If you think about it, getting sensor resolution to where the lens becomes the limiting factor means that any anti-aliasing filters on the sensor can be removed.

So, on the typical 20mm-wide APS-sized dSLR sensor, 70 lp/mm would give you 140 pixels * 20mm, or about 2800 pixels. In short, a 2700x1800 (4.86 MP) sensor is all that you need, IF the sensor truly does resolve at the theoretical limits. Bayer sensors (used in nearly all digital cameras, the exception being the Sigma SDx/DP1 cameras which utilize the Foveon sensor) run at about 60% of theoretical resolution, so you'd need to divide 2700 by 0.6... or a 4200x2800 sensor (11.7 MP).

Funny, isn't it, how the APS-sized dSLR cameras have hit 12 MP... and the Foveon-equipped Sigma SD14/DP1 are at 4.6 MP. I guess the camera/sensor manufacturers can do the math, too.
--
'Do you think a man can change his destiny?'
'I think a man does what he can until his destiny is revealed.'
 
You are talking about the effect of sensor size, and by implication
viewing magnification, rather than photosite density.
The formula I offered makes it clear that the f-Number at which
diffraction will begin to inhibit a desired print resolution is
affected only by enlargement factor, and thus sensor size indeed
seems to be far more important than photosite density.

In practice, however, even if we start with a large sensor (i.e. full
frame), every increase in the number of pixels (i.e. from 12 MP to
16 MP, or from 16 to 24...) is an invitation to make ever larger
prints. And with this increase in enlargement factor comes a need to
shoot with a wider aperture (smaller f-Number) to prevent diffraction
from inhibiting your desired print resolution.
This is true to an extent, but as John Sheehy points out, the extra pixels may benefit you in many other ways than making bigger prints. In particular, because you have more information in the original capture (i.e. you know to a greater precision where the photons landed, as well as how many landed in a region) you can apply a lot more thought and intellingence to post processing to gain ultimately better results.
The lesson to
be drawn is if you want to minimise the effects of diffraction get a
camera with a big sensor with lots of pixels.
I'd rather put it this way: If you want to maximize the number of
diffraction-free stops you can shoot with, select cameras having
enough Megapixels to produce the print sizes you are seeking at the
print resolutions you desire, but avoid cameras having sensors with
high photosite densities. (Notice I've not said a word about sensor
size here.)
That's not a good way of putting it. The phrase 'diffraction free' is entirely misleading and wrong-headed. The stops are not diffraction free, it is simply that the sensor has cut of the resolution that even the diffraction limited lens can offer. If you look at a lens resolution chart, you will see there are broadly speaking two factors at work. Lens aberrations limt resolution. As a rule these become resolved as the lens stops down, so resolution rises as you stop down from wide open. At the same time, diffraction limits resolution as the lens stops down, so resolution decreases as you stop dow. put these two together, and you get the familiar hill shaped curve which peaks at f/4-f/11 depending on the lens. All the downhill part of that curve past the peak is diffraction limiting. All that happens with a coarse pitch sensor is you are slicing the top off the hill.
Where do I draw the line between reasonable photosite densities and
unreasonable? At about 200 pixels/mm. It's not carved in stone
because some cameras are equipped with relatively faster lenses than
others, but this is about where you begin to find yourself limited to
using fewer than half of the f-stops available on a lens (digicam or
DSLR, small sensor or large) in order to prevent diffraction from
inhibiting a desired print resolution of 5 lp/mm in a print having
dimensions scaled to an image resolution of 360 dpi.
I don't think that there is any good reason to place the line there. It is an entirely arbitrary limit. The point about being 'limited to using half of the stops available' is completely bogus. Part of the art of photography has always been trading DoF against peak resolution. Using a camera which can utilise the entire resolution curve of the lens gives you more options, not less.
Whether we're working with a 12 MP Canon PowerShot G9 (small sensor)
or a 12 MP fuill-frame DSLR (large sensor), the resulting 4000x3000
pixel captures will produce like-sized 11.11 x 8.33-inch prints when
scaled to an image resolution of 360 dpi without resampling. (Note
that an image resolution of 360 dpi is necessary with CMOS sensors -
not with Foveon - if we want to resolve 5 lp/mm worth of subject
detail in the final print after suffering Bayer Algorithm and AA
filter losses.)
Diffraction-savvy PowerShot G9 owners must avoid stopping down below
f/4.0 if they want to prevent diffraction from inhibiting a goal of
resolving 5 lp/mm worth of subject detail in a 360-dpi, 8.33 x
11.11-inch print.

Diffraction-savvy 12 MP full frame DSLR owners can use any f-Number
available on any lens up to f/18.1 without fear of inducing
diffraction that would inhibit that same goal of resolving 5 lp/mm
worth of subject detail in a 360-dpi, 8.33 x 11.11-inch print.
Sensor size arguments, not pixel pitch ones. Larger formats have always given more options wrt usable apertures. On a large format lens, you'll find it allows you to stop down to f/45. Of course, in small formats one tends to gain at the other end, simply for practical considerations of size and expense, an f/1.0 or a 15x zoom for a 10x8 camera may be technically feasible but you wouldn't want to pay for one or carry it around. Digicam lenses are huge in relation to sensor size and have incredible peak resolutions, but still provide a compact end result. You pays your money, you takes your choice.
(Repeating myself for effect...) I'd rather put it this way: If you
want to maximize the number of diffraction-free stops you can shoot
with, select cameras having enough Megapixels to produce the print
sizes you are seeking at the print resolutions you desire, but avoid
cameras having sensors with high photosite densities (densities in
excess of about 200 pixels/mm).
As I said, the concept of 'diffraction free' as you put it is ill found, and therefore so is your arbitrary limit of pixel density.
--
Bob
 
...and after that, any more is a waste. If you think about it,
getting sensor resolution to where the lens becomes the limiting
factor means that any anti-aliasing filters on the sensor can be
removed.
This has been discussed elsewhere, it woud be an advantage for a nuber of reasons.
So, on the typical 20mm-wide APS-sized dSLR sensor, 70 lp/mm would
give you 140 pixels * 20mm, or about 2800 pixels.
Where do you get the 70lp/mm figure from? Even Canon kit zooms will outresolve that.
--
Bob
 
An interesting possibility which has been raised in other threads
would be to have a sensor with a spatial sampling frequency so as to
put it's Nyquist limit above the usable resolution of the lenses used
on it. 2um would give a Nyquist above 250 lp/mm. There are lenses
which resolve with contrast above this, but not that many.
.. not that many large format lenses. Of course, lenses designed for
1/2.5" sensors routinely resolve at that resolution.
This situation would allow the OLPF to be omitted, which could
provide enhanced image quality.
200MP cameras could be designed to give the user whatever the user
wants in terms of spatial resolution and bit depth and/or compression
in the output. When you start oversampling your lenses, you really
don't need the kind of critical pixel-level accuracy that is needed
with low pixel counts. JPEG-like compression could be done on the
full-res RAW data without a hint, viewed at standard print sizes. 14
bits is overkill for current sensors at their best ISOs; a 200MP
2-micron sensor could get away with a few bits and a LUT.

The decisions could be automated, too, and the firmware could
determine, based on user settings, what level of output
resolution/compression is needed for the image as a whole, or even
broken down into areas (out-of-focus areas can stand far more spatial
loss than in-focus areas). There is no reason for anyone to say nay
to high-MP sensors because they force high-MB or GB output; high
oversampling is good no matter what output resolution you want. You
can even have reduced-resolution RAW, which is still superior in
flexibility to reduced-resolution JPEGs.
A related, and perhaps more interesting question would be 'what's the
largest size you're prepared to print from a FF (or APS-C) sensor?'
With 200MP, the big factor (other than technique and optics, of
course, which can always ruin everything) is the light. If the
exposure is high or the gamma is low at base ISO, those pixels can be
pretty accurate and withstand fairly high magnification.

--
John

Using state-of-the-art pixels on a DSLR (or DRF) sensor is an increasingly interesting notion. The amout of digital processing in DSLR's is still quite small (they are using mobile phone processors clocking at a few hundred MHz). Part of the reason for that is power considerations, the other is cost. However, if you traded the money saved on an OLPF for a suitably designed ASIC front end, the net result, as you point out, could be something much more flexible and higher quality than current products. Why bother to choose between a 12MPix D3 and a 24Mpix D3x, when you could have a camera which offers you any output resolution you want, down from 200MPix? What could Iliah Borg do with a 200MPix raw file to play with?
--
Bob
 
So, on the typical 20mm-wide APS-sized dSLR sensor, 70 lp/mm would
give you 140 pixels * 20mm, or about 2800 pixels.
Where do you get the 70lp/mm figure from? Even Canon kit zooms will
outresolve that.
And even then, this is a worst case scenario. I judge the resolution needs of a sensor based on something like a Tamron 90mm f/2.8 macro or a Canon 300mm f/2.8 which can probably use 10 to 15x the density a kit lens can.

--
John

 
Sorry, but the notion that somehow small pixels are more diffraction
limited than large pixels is entirely incorrect.
Your failure to include the phrase "enlargement factor" makes the
above statement completely irrelevant to the argument I've been
making in this thread.
I'd rather put it this way: If you want to maximize the number of
diffraction-free stops you can shoot with, select cameras having
enough Megapixels to produce the print sizes you are seeking at the
print resolutions you desire, but avoid cameras having sensors with
high photosite densities. (Notice I've not said a word about sensor
size here.)
The last two sentences (one parenthetic) are what I was taking issue with. Earlier, you correctly attributed the main difference as far as diffraction goes, has to do with sensor size. But then to sit at fixed sensor size and limit the number of pixels because of some concern about diffraction, is simply the wrong way of thinking about the issue. Even well into the diffraction-limited regime, decreasing pixel pitch improves MTF; it just doesn't increase it by the ratio of the pixel pitches, but rather by something less, as the example I discussed in the link demonstrates.

There are two figures of merit here, sensor size and MP count. Sensor size determines the size of the diffraction spot relative to frame height at fixed f-stop. If you want the diffraction spot to be "smaller" in a print, choose a larger sensor. For fixed sensor size and f-stop, increasing the MP count always increases the resolution, even in the diffraction limited regime.

Notice I've not said a word about photosite density here ;-)

Edit: I should also add that changing sensor size at fixed f-stop to change the diffraction spot size relative to frame height, is really trading off DOF against diffraction effects. If you want a given DOF, the size of the diffraction spot will the the same relative to frame size; the two go together to a first approximation. Of course, it may be that the lens doesn't go fast enough on a small sensor to give the same DOF of a big sensor, but that's another issue. But given that one has chosen the DOF, that selects the f-stop (differently for different sized sensors), and the only remaining issue (apart from those of more noise on smaller sensors) is resolution, and for that, more MP is always better.

--
emil
--



http://theory.uchicago.edu/~ejm/pix/20d/
 
All info from:
http://www.normankoren.com/Tutorials/MTF6.html
Thus, as seen in the final print, the diffraction suffered at f/11
with a tiny 12 MP sensor is worse than the diffraction suffered with
a large 12 MP sensor using f/11 - thanks to the difference in
enlargement factor required to produce like-sized prints.

Mike Davis
http://www.AccessZ.com
From the article...

"Depth of field is constant when the f-stop is proportional to the format size, i.e., DOF is the same for a 35mm image taken at f/11, a 6x7 image at f/22, a 4x5 image at f/45 or an 8x10 image at f/90."

You're not comparing equivalent DOF.
You are talking about the effect of sensor size, and by implication
viewing magnification, rather than photosite density. The lesson to
be drawn is if you want to minimise the effects of diffraction get a
camera with a big sensor with lots of pixels. Unfortunately, a lot of
people are under the misapprehension that they need to buy a camera
with a sensor with not many pixels, which is not the best choice.

--
Bob
Again from the article:

"When a lens is stopped down so to achieve a large depth of field, and is diffraction-limited, increasing the format size does not increase image sharpness, i.e., total resolution. For example, an 8x10 image taken at f/64 will be no sharper than a 4x5 image taken at f/32."

The only advantage of the larger format is that it is easier to hit diffraction limited optics at shallower DOF. Once you're diffraction limited with both optics and both sensors have enough resolution to capture the data, there is no advantage to shooting the larger format.

Through the window in the wall
Come streaming in on sunlight wings
A million bright ambassadors of morning
 
Edit: I should also add that changing sensor size at fixed f-stop to
change the diffraction spot size relative to frame height, is really
trading off DOF against diffraction effects. If you want a given
DOF, the size of the diffraction spot will the the same relative to
frame size; the two go together to a first approximation. Of course,
it may be that the lens doesn't go fast enough on a small sensor to
give the same DOF of a big sensor, but that's another issue. But
given that one has chosen the DOF, that selects the f-stop
(differently for different sized sensors), and the only remaining
issue (apart from those of more noise on smaller sensors) is
resolution, and for that, more MP is always better.
This came out a bit more garbled than I would have liked. Let me try again.

1. The desired depth of field in the image selects the f-stop. The needed f-stop F on a full frame sensor roughly translates to an f-stop F'=F/C for a crop sensor with crop factor C.

2. The size of the diffraction spot in microns is determined by the f-stop. The size of the diffraction spot relative to the frame height is proportional to F*C for crop factor C and f-stop F (smaller sensors magnify the diffraction spot relative to frame size).

3. Therefore, for a fixed image -- framing and DOF -- is independent of sensor size; the full frame sensor has diffraction spot size relative to frame size determined by F, and the crop sensor has it determined by F' C=F. Simply put, for a fixed image, the effects of diffraction are independent of sensor size. (There may be limitations on the optics which prevent obtaining the desired DOF, of course, for a given sensor size.)

4. The diffraction spot size is determined by the optics, independent of the number of MP on the sensor. Increasing the number of MP for fixed size sensor at fixed f-stop, improves the resolution; this is true even well into the regime where the pixels are smaller than the Airy disk diameter.

So, for a fixed image, diffraction effects are independent of sensor size. Resolution always improves when the MP count is increased on a fixed size sensor at fixed aperture.

The main effect that sensor size has, relates to noise and image quality, not diffraction.

The main effect of MP count at fixed sensor size, has to do with image resolution (there is a somewhat smaller effect of MP count on noise in shadows), and while diffraction limits resolution, it is also true that increasing the MP count always improves resolution.

The main effect that pixel density has, is to mislead people into muddled thinking about the effects of sensor size and MP count.

--
emil
--



http://theory.uchicago.edu/~ejm/pix/20d/
 

Keyboard shortcuts

Back
Top