| Digital 
Photography                    
		
		Back to Notes on Photographyby Makoto Honda            
   
Updated 
February 18, 2005
 
 General Anyone who has been exposed to the 
world of digital photography will surely appreciate the benefit of this digital 
technology.  You can view the image the moment after you shoot the picture.  
With a proper setup, you can even evaluate the result critically.  The 
total number of pixels on the digital sensor -- that replaces the chemical film 
-- continues to increase.  Today, 10 mega-plus cameras are available, and 
20 mega, 30 mega, .. are just around the corner (provided the market demand 
sustains the camera manufacturers' business model for 
high-mega-pixel cameras).
 Digital-Camera/Film-Camera 
Comparison How does digital photography stack 
up with film photography in terms of the system resolution of the final image?  
Building on the knowledge of the previous sections, we are going to calculate 
how many pixels are needed to be in par with today's high-resolution films.  
Looking at the film resolution chart presented earlier, we see some color slide 
films achieve 80 lp/mm resolution at 1.6:1 contrast, and twice as much at 1000:1 
contrast.  Just speaking for myself, I would like to have at least the same 
resolution in digital photography as I get using a high resolution slide film.  
This would mean a minimum of 80 lp/mm.  I would up an ante a bit and use a 
clean number, 100 lp/mm: If a digital camera gives me this resolution, I would 
feel comfortable converting myself to digital photography.   The 35mm film size is 24mm x 36mm.  
The 100 lp/mm film resolution means the film surface, or digital sensor surface 
in digital photography, must have 100 times 2 pixels per 1 mm.  (Remember 
our resolution unit is "line pairs", one black line and one white line, needing 
two pixels for each pair.)  This gives (24x100x2) x (36x100x2), or 
34,560,000 pixels.  Now, I got my number.  I need a 35 mega pixel 
camera!     
                    
x 100 lp/mm                            
x 2 pixels/lp36 mm ---------------->  3600 
line pairs ---------------> 7200 pixels
                   
x 100 lp/mm                            
x 2 pixels/lp24 mm ---------------->  2400 
line pairs ---------------> 4800 pixels
         
Total pixel number that is required on the 24 mm x 36 mm digital sensor surfaceto achieve the same resolution as the 
35mm film yielding 100 lp/mm is:
        Total 
Pixel Number  = 4800 x 7200 = 34,560,000 pixels  (35M)
 Note:  If your film resolution 
requirement is 50 lp/mm, then the same calculation gives 8,329,000 pixels.  
That is, an 8 mega pixel camera will give you a comparable resolution.
 Soap Box         
- Nikon announced their newest digital SLR, Nikon D2x, 
featuring 12 Mega pixels. Canon immediately responded by their announcement of 
Canon EOS-1Ds Mark II having a 16.7 Mega pixel sensor. Canon EOS-1Ds Mark II is 
a full-frame 35 mm camera (24 x 36mm), while Nikon D2x still maintains a APS-C 
format. The APS-C format sensor size  is almost exactly half of that of the 
full 35 mm format.  It follows that if Nikon produces a full-frame digital, 
its pixel number would be twice that of D2x. That is, the digital sensor density 
needed to produce 24 Mega pixel, full-frame digital SLR is already achieved.
 Full 35mm Format vs. APS-C Format*  
 (Click
here for the table of total dot count on the 
image)
  (* somewhere around 16x24mm format, like 
Nikon's DX-format and assortment of Canon's small er sensors) How does the film format affect the 
image quality of the photograph in terms of resolution?  To answer this 
question, we must first define how to measure the final outcome of the 
photograph.  The importance of resolution boils down to how many "dots" you 
have in the final picture you are looking at.  This may be a print you put 
in your family photo album, a large print you want to frame on the wall, a 
photograph in the book or in the magazine, or a projected image on the screen 
during a slide show of your last trip to Caribbean. Although 
the image captured on the film is generally not the final outcome of the whole 
photographic process, it is nonetheless a major milestone. In the following, we 
calculate the final total dot count captured on the film - be 
than chemical or digital - based on the system resolution. 
To be on a critical side of evaluation, we 
assume we are using a lens of a 600 lp/mm resolution. 1)  
Full 35mm Format vs. APS-C Format - 
Using the Same Film (100 lp/mm)      Full 
35mm Format
               
System resolution = 1 / ( 1/600 + 1/100) = 86 lp/mmTotal dots = (24 x 86 x 2) x (36 x 86 x 2) = 25,372 = 25 Mega pixels
 
      APS-C 
Format  (around 16x24mm format, like Nikon's DX-format)      
              
System resolution = 1 / ( 1/600 + 1/100) = 86 lp/mmTotal dots = (16 x 86 x 2) x (24 x 86 x 2) = 11,279 = 11 Mega pixels
 
   This is a well-known, and 
predictable, result. Given the same resolution of the lens, the larger the film 
format, the greater the number of dots you get in your picture, 
provided the same film is available for larger formats (35mm --> 6x6
cm --> 4x5 inch --> 8x10 
inch). This is true for such films as Fujichrome Velvia, but 
not Kodachrome-25 or 64. In a digital world, this "same film" requirement 
amounts to having the same sensor density, or the same lp/mm resolution. .
 2)  
Full 35mm Format vs. APS-C Format - 
Using Two Cameras with the Same 35 Mega Pixels      Full 
35mm Format
 As we calculated earlier, the 34,560,000 (35M) 
pixel,
 full-frame, 35mm digital camera is equivalent to
 using a film with 100 lp/mm resolution.
 
               
System resolution = 1 / ( 1/600 + 1/100) = 86 lp/mmTotal dots = (24mm x 86 lp/mm x 2 dots/lp)
 x (36mm x 86 lp/mm x 2 dots/lp) = 25,323,356 = 25 Mega pixels
              
APS-C Format
 
 The film resolution (Rf) of 150 lp/mm used 
here
 was derived by solving the following equation.
 Total pixel number: 34,560,000 = (16 x Rf x 2) x (24 x Rf x 
2)                                                                    
= 1536 x Rf x Rf
 Rf = root of (34560000 / 1536) = root of 2250 = 150
 
 
              
System resolution = 1 / ( 1/600 + 1/150) = 120 lp/mmTotal dots = (16 x 120 x 2) x (24 x 120 x 2) = 22,118 = 22 Mega pixels
              
This is an important result.  This shows that even if the two cameras offer 
the same total mega pixel count, the camera with the small er size format is at a 
disadvantage. This comes from the simple fact that the lens must work harder in 
order to achieve the identical result on the small er image area. In the above 
example, of course, we are assuming the use of the same lens, so the final 
outcome is inferior for the small er format. The full-35mm format and the APS-C 
format do not create a level-plane field for manufacturers. 
The total pixel count difference of 25 Mega vs. 22 Mega is reflective of that 
fact.
 
 3)  Equivalent Mega Pixels for APS-C Format
 How many mega pixels do we need to 
get the same final result (25 Mega total dot count in the picture) as the 
full-frame 35mm if we stick to the APS-C format sensor size? 
 From the previous example, we need the system resolution (Rs) of 129 lp/mm, 
derived from the equation, 24 x Rs x 2 = 6192 --> Rs = 6192 / 48 = 129..
 In order to get this system 
resolution, we need the film resolution (Rf) of 164 lp/mm, as derived from the 
equation, 129 = 1 / ( 1 / 600 + 1 / Rf) -->  Rf = 1 / ( 1 / 129 - 1 / 600 ) 
= 164. The total number of pixels to 
simulate this film resolution (164lp/mm) on the APS-C format digital surface is 
thus computed as 41 Mega pixels.  To recap, the following mega pixels 
are needed to get the same total dot count of 25 mega on the 
image for 
the respective image sensor sizes:      Full 
35mm Format     
      Film Resolution:  Rf 
= (7246 / 36) / 2  or  (4830 / 24) / 2 = 100 lp/mmSystem Resolution:  Rs = 1 / ((1 / 600) + (1 / 
100)) = 85.7 lp/mm
 Total Pixels in the Picture:  (36 x 85.7 x 2) x (24 x 
85.7 x 2) = 25.4 Mega pixels
 
     APS-C Format
 
      Film Resolution:  Rf 
= (7842 / 24) / 2  or  (5228 / 16) / 2 = 163 lp/mmSystem Resolution:  Rs = 1 / ((1 / 600) + (1 / 
163)) = 128 lp/mm
 Total Pixels in the Picture:  (24 x 128 x 2) x (16 x 128 
x 2) = 25.2 Mega pixels
   Soap Box    
- I was rather surprised when Nikon introduced a few lenses (only 
four, so far) 
specifically designed for use in their APS-C format (DX-format) 
digital SLR cameras. Someone 
in a local photo store even told me the DX-format was going to be the main line 
for Nikon. A total and absolute impossibility!  The reason is simple. As 
long as we are dealing with sub-10 mega pixel digital sensors, the lens 
resolution has a mild effect on the final outcome. However, when we reach and 
pass the 10 mega threshold, approaching the today's high-res film resolution, 
the lens' optical resolution increasingly shifts its weight toward the final 
resolution. Nikon cannot compete with other major camera brands with this APS-C 
handicap. This leads me to believe these DX-format-specific lenses are 
temporary offerings, just a stop-gap measure on the part of Nikon, to provide a 
wide-angle coverage to the current users which was lost due to the 1.5x focal 
length factor for the DX-format size cameras. On the other hand, if Nikon's 
intent is to establish a new DX-format line, on the same lens mount, in 
addition to the full-frame 35mm offering, it certainly is an interesting 
business strategy. The small er image sensor size definitely have many 
advantages, including a small er camera body and a small er lens size. In fact, 
many point-and-shoot digital cameras achieved an amazingly compact size 
employing an image sensor far small er than the DX-format. This size reduction 
is unthinkable with the traditional film-based cameras.      
 Can 35 mm
Digital Cameras Overtake Large Format Cameras?   
 
(Total dot count for various film format) Proper Comparison 
35mm 50mm 100mm 180mm 260mm standard lens
 The resolution of 
the traditional chemical film will not improve drastically.
 Megapixel number 
of the digital sensor could go up. What mega pixel 
count is needed to produce a picture comparable to 4x5 and 8x10? Manufacturers 
have more leeway for cost in this market. 35mm photography 
is about a million times superior compared with 4x5 and 8x10 format cameras in 
terms of its system versatility. 
 Image Area 
Comparison APS-C Format        
35mm            6 x 6 cm            
4 x 5 inch 384                   
864                
3600                
12900          (area in square mm) 0.45        
:          1         
:         4           
:            15           
(ratio) A straight 
interpretation of this result is that, compared with the 35mm format, the 6 x 6 
format and the 4 x 5 inch format are capable of capturing 4-times and 15-times 
the number of dots in the resultant image, respectively. This of course assumes 
the use of the same film. Also, we are assuming the same lens resolution. In 
order to get the same image (perspective included), we must use a lens having a 
correspondingly longer focal length for the larger format. For instance, a 50mm 
lens for the 35mm, a 100mm lens for the 6x6 cm, and a 200mm lens for the 4x5 
inch, more or less, create the same "standard lens" field of view. Even so, the 
resolution of these lenses must be the same to capture 4-times and 15-times 
number of dots in the larger formats. This assumption may not be true, 
especially for 4x5 format optics. We have a reasonable expectation that, even 
for a large format camera optics, the resolution of the image center 
(corresponding to the 35mm frame area) is as good as that of 35mm optics. The 
question is whether the same resolution extends all the way to the corner of the 
image. The 4x5 optics requires a far larger image circle than the 35mm 
counterpart. Not only that, the "shift" and "tilt" operations make the lens' 
image circle requirement even greater. The average resolution of the entire 
image area for a 4x5 format camera is likely to be lower than that of the 35mm 
optics. 
  Heterogeneous Hybrid  Environment (Chemical/Digital)
 Taking pictures 
using a traditional film camera. Making a 
photographic print using a traditional enlarger. Scanning a film 
to make a digital image (file) Making a 
photographic print from a digital image (file) Taking pictures 
using a digital camera. Produces a digital image (file) Digital Film Requirement (rolls 
of film)
 Requirement:  500 - 1000 
exposures a day --- > Hotel  download  Typically, a photographer carries 
many rolls of film for assignment.  What does this mean in the digital 
world?  Just to get some idea as to what preparation would be needed when a 
film photographer converts himself to a digital photographer, let us take a look 
at Nikon D70 digital SLR camera that has a six mega pixel sensor. Using the RAW setting, each frame 
consists of 6 million pixels.  Nikon D70 uses 12-bit buffer depth 
for RAW setting. Nikon D70 uses Nikon's NEF 
format that compresses this image to 5M bytes.  This is a "lossless" 
compression:  No information is lost.  According to Nikon D70 
brochure, you can store about 23 images (taken in RAW mode setting) in a 258 MB 
Compact Flush memory card.  Nikon D70 - 6M pixels (RAW 
setting) 258 MB CF memory -------->   
23 images1 GB CF memory ---------->   92 images
 2 GB CF memory ----------> 184 images
 4 GB CF memory ----------> 360 images
 I can shoot about 360 shots (RAW 
image) with one 4 GB CF memory card. To satisfy my 1000 shots per day 
requirement,  I have to carry 2 extra cards in my pocket.  This is in 
lieu of carrying 30 rolls of film.   Nikon D2x - 12M pixels (RAW 
setting) If my camera is Nikon D2x with 12M 
pixel sensor, I would expect the numbers to decrease accordingly....  I 
just have to carry twice as many memory cards! 2 GB CF memory ---------->  90 
images4 GB CF memory ----------> 180 images
 Hotel Download After exhausting several 4GB memory 
cards, I must download the image data to my laptop or some storage device, so 
that I am ready for the next day's shoot....  Maybe, the modus operandi for 
a future digital photographer is to upload the image data to a secure site 
wirelessly, using a transmitter attached to the camera.  This is no 
different from NASA receiving pictures from Mars Rover taken by an on-board 
Nikon......
 Storage Requirement (Slide vs. 
Digital) I can keep 40 or so slides (mounted 
on the standard paper mount) in a 1 x 2 x 4-inch box returned from Kodak or Fuji 
processing lab.  Where do I keep my digital images?   Storage Cost Comparison - 
Cost per Gig byte:                       
USB            External          
Internal          CD-ROM           
DVDDrive           Hard Disk        
Hard Disk        Disk                 
Disk
    Capacity        
258MB      200GB        
200GB        700MB         
4.7GB    Price              
$50          $250          
$150           $0.20          
$0.50    Cost/GB        
$200/GB     $1/GB        
$0.75/GB     $0.30/GB    $0.10/GB The comparison shows the DVD disk is 
the cheapest storage medium, and probably the most stable.  I just have to 
make a copy every 5 years or so to avoid the disk deterioration, and/or to keep 
my eyes open for new software/hardware technology, including image format 
obsolescence.  Soap Box         
-  I kept my slides (Kodachrome-25) for the 
past 30-some years very successfully.  The transparencies retained their 
original color quite well.  I am not so confident if I can manage to keep 
my digital image that I took yesterday for the next 10 years!      
 Nikon D3 / 
Nikon S1 There are many 
sites in the web making interesting predictions about new digital cameras. Some sites I saw 
predict Nikon D3 to be a full-frame 35mm digital SLR camera. Here is my two 
cents. As I wrote somewhere in my Soap Box, Nikon DSLR will eventually go  
full-frame. Canon has EOS 1D series and there are other brands using 
a full-frame 35mm format. Nikon's decision to use a APS-C format for their new, top 
of the line DSLR camera, D2x, is probably based on their careful analysis (both 
technical and marketing) that they can still compete well with a full-frame 35mm 
format at the current sensor pixel count, which is around 12M (Nikon D2x) and 
16M (Canon EOS 1Ds Mark II). As the market push continues to increase the sensor 
resolution beyond 20M pixels, however, the disadvantage of a small er sensor size 
becomes more difficult to overcome. Nikon has to move to the full-frame 35mm 
DSLR market, and, 
doing so is fairly easy. All Nikon has to do is to produce a 
"camera"; all the 35mm lens lines are available - they have been for 
many years. That having been said, my two cents is merely a naming of the new 
camera. Whether it was 
intended from the very beginning or not, the fact of the matter is that the APS-C 
format market has been established. (I am just using the term "APS-C format" to 
mean Nikon's 23.7 x 15.7mm and Canon's 22.5 x 15mm and so on.) 
I think the APS-C format started out as just a stop-gap measure because of the 
huge cost of the large sensor in the past, but regardless, it now has a life of its 
own. There is no reason for Nikon, or any other manufacturers, to abandon this 
new APS-C format line. They should continue to foster this market. So coming back to 
Nikon D3 naming. I do not think Nikon will remove the APS-C format from the 
professional lineup. That is, my prediction is D3 will be another generation of 
a professional APS-C DSLR. Nikon will simply have to pick another letter from the 
alphabet soup, say, "S", for their new full-frame 35mm DSLR, so as not 
to disturb the APS-C digital line. Nikon is more conservative and more careful in 
their product planning than Canon (just my opinion). Nikon has maintained their 
lens mount unchanged from the days of Nikon F. Nikon seems to be keeping the 
tradition of careful thinking in their sensor size decision. When Nikon introduces a new 
full-format 35mm DSLR camera, it will be a monumental event. The Nikon 
S1 will be a 25M pixel full-frame 35mm DSLR camera, but don't hold your 
breath. Nikon will take their time before bringing this to the market. Nikon 
realizes very clearly that the sensor pixel count is just a small  part of the 
overall equation in the professional arena that they serve. This is shown in 
their latest introduction of Nikon D2Hs. The D2Hs sports 8 frames per second 
firing, though the sensor is limited to 4.1 mega pixel.  When Nikon 
introduces S1, it will shoot just as fast at a 25 mega pixel sensor. 
 
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