Version 0.14
Copyright © 2007-2008 by Zack Smith,
All rights reserved.
The purpose of this web page is to explain the concept of sensor element size
and to provide some examples from actual digital cameras,
so that you can get an idea of which digital cameras are more likely to
offer decent image quality.
Introduction
A digital camera sensor is what senses light and converts it into
an electronic image. It consists of an array of millions of
sensor elements, also called sensels.
Typically each sensel responds to either red, green, or blue, and a
single "pixel" is comprised of four total: two greens, one red, and one blue.
So if you have an 8 megapixel camera, it has 8 * 4 = 32 million sensels.
What really matters when determining digital camera image quality ("IQ")
is actually not really how many megapixels it has,
but rather what the size of these microscopic
sensor elements is. In this document I state sensel size in terms of
area in square micrometers (µm2).
The size of a sensor element directly impacts how much noise an
image will have in low light, and in some cases even in daylight.
The bigger the sensor element size is, the lower the noise
because more photons can reach a bigger sensel.
To illustrate,
suppose you have two cameras that both have a sensor that is
1/1.8" in size (this represents the area as a single number
since the numerator is always 1).
The one with more pixels crams more sensels into the same space,
so they must be smaller than in the other camera.
Therefore it is actually the camera with fewer megapixels that will
have larger sensels and therefore less noise and better image quality.
This is a good reason to be skeptical
about whether higher megapixel cameras are a good thing to buy.
Of course, sensel size
is not the sole determinant of image quality.
For instance:
- Sensor quality differs between sensor chip
manufacturers as well as within the range of
products from any one sensor manufacturer.
-
Furthermore, any one maker of cameras, e.g. Canon, may
use sensor chips from different manufacturers between camera models.
So they might put a sensor from one manufacturer in
one camera, but a different manufacturer's sensor in another.
-
Newer sensor technology is surely better than older technology.
So while the Canon A80's 4MP sensor's pixels have an area of
10 µm2, which is huge,
its quality could be inferior to something made 3 years later
that uses half the area per pixel.
The technology generation matters.
-
Optics can play a big role at high megapixels.
Not all lenses are equally finely polished.
Sensor geometry
Now let's talk about the geometry of the sensors themselves.
A sensor's overall width and height typically have a 4:3 ratio.
Each pixel in a sensor typically has 4 sensor elements --
two green elements, one blue and one red.
Pixels and sensels are square. Like this:
The information about size of the sensor is always
expressed as 1 over X", where X is a number that varies by sensor.
They may also give you the width and height in millimeters,
but sometimes you have to search the manual for that.
This 1/X" format is an old way of describing sensor sizes devised for
Vidicon television cameras.
It means that the diagonal of the 4:3 sensor is
1 over X inches, times two thirds. The reasons for this arcane standard
is a story for the history books, not here.
Determining sensor element dimensions from sensor
width & height
If you are told the actual dimensions of the sensor,
determining sensel area is simple:
Area of entire sensor (in mm2) = width in mm * height in mm
Area of entire sensor (in µm2) = 1,000,000 * area in mm2
Area of one pixel = area of sensor in µm2 / # pixels
Area per sensor element = area of one pixel / 4
Determining sensor element dimensions from 1/X" size
While often it is possible to learn the width and height of a
sensor from a company's camera manual or specification sheet, sometimes
all you can get quickly is the 1/X" value.
To determine 4:3 sensor width and height from 1/X",
let's solve this equation:
(1 / X") * 0.667= sqrt ( (4a)2 + (3a)2 )
Or simply...
0.444 / X2 = 16a2 + 9a2
And from this we get...
0.444 / X2 = 25a2
And then this...
sqrt (0.444 / 25X2) = a
And like so...
0.667 / 5X = a
And finally...
Width = 4a = 4 * 0.667 / 5X Height = 3a = 3 * 0.667 / 5X
...but we need the total area, too:
Area = width * height = 0.21333 / X2
Plus we need to convert to metric!
Width in micrometers = 25,400 * width in inches
Height in micrometers = 25,400 * height in inches
Area in µm2 = 645,160,000 * area in inches
So! The final equation is:
Area of the entire sensor in µm2 = 137,630,000 / X2
The area occupied by one pixel is:
Pixel area = area of sensor in µm2 / Y ...where Y = total pixels
Assuming 4 sensels per pixel, sensel area = pixel area / 4
Camera manufacturers typically provide two numbers for the total pixels in the camera,
e.g. 10MP effective and 10.3MP actual.
You have to use the actual number of pixels in the equation above i.e.
the higher of the two numbers usually specified.
Point and shoot pixel area values
For simplification I provide pixel area below rather than sensel area.
| Camera | Sensor size | Megapixels | Pixel area (µm2)
|
| Canon Powershot A630
| 1/1.8"
| 8.2MP
| 5.2
|
| Casio Exilim Z1080
| 1/1.75"
| 10.3MP
| 4.36
|
| Canon Powershot G7
| 1/1.8"
| 10.3MP
| 4.1
|
| Canon Powershot A640
| 1/1.8"
| 10.3MP
| 4.1
|
| Canon Powershot A650
| 1/1.7"
| 12.4MP
| 3.8
|
| Casio Exilim Z1200
| 1/1.7"
| 12.39MP
| 3.8
|
| Canon Powershot G9
| 1/1.7"
| 12.4MP
| 3.8
|
| Nikon Coolpix 5100
| 1/1.72"
| 12.43MP
| 3.74
|
| Canon Powershot A570IS
| 1/2.5"
| 7.1MP
| 3.1
|
| Canon Powershot A720IS
| 1/2.5"
| 8.3MP
| 2.6 (!!)
|
| Canon Powershot A80
| 1/1.8"
| 4.1MP
| 10.
|
Special case of a 16:9 Panasonic camera
The Panasonic Lumix DMC-LX2 is
the same camera as the Leica D-LUX 3.
Both manufacturers
claim the sensor, which has the "widescreen"
format, can be thought of as a 1/1.65"
even though that standard was invented for
old-time television cameras.
I was unable to find the manual online to get the real dimensions.
The Panasonic version of this camera generally does not
review well, perhaps because the odd-dimensioned sensor is a new and unusual
creation that has not been refined yet.
| Camera | Sensor size | Megapixels | Pixel area (µm2)
|
| Panasonic Lumix DMC-LX2
| 1/1.65"
| 10.2MP
| 5.0
|
Digital SLR pixel area values
For simplification I provide pixel area below rather than sensel area.
| Camera | Sensor size | Megapixels | Pixel area (µm2)
|
| Nikon D3
| 36 x 23.9 mm CMOS sensor
| 12.9MP
| 66.7
|
| Nikon D70
| 23.7 x 15.6 mm
| 6.3MP
| 58.7
|
| Nikon D40
| 23.7 x 15.5 mm
| 6.3MP
| 58.7
|
| Canon EOS 350D / Digital Rebel XT
| 22.2 x 14.8 mm
| 8.2MP
| 40.1
|
| Nikon D80
| 23.6 x 15.6 mm
| 10.8MP
| 34.5
|
| Nikon D40X
| 23.6 x 15.6 mm
| 10.8MP
| 34.5
|
| Canon EOS 400D / Digital Rebel XTi
| 22.2 x 14.8 mm
| 10.5MP
| 31.3
|
| Canon EOS 40D
| 22.2 x 14.8 mm
| 10.5MP
| 31.3
|
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