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I read up an equation on Wikipedia i.e. a camera's angle of view can be found from the following equation

$$ \text{angle of view} = 2\arctan \left({d\over2f}\right) $$

where \$f\$ is the lens's focal length and \$d\$ is the size of film or sensor.

I am now trying to find the field of view of this Sony ICX267-based C-mount camera. The size of the sensor / film is not given but what are given are the pixel size and the resolution.

Would the sensor size simply be the pixel size * the number of pixels along the width / rows?

I also have only the focal length in pixels and was wondering how i can convert it to mm.

This is an image taken by that camera btw.

enter image description here

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3 Answers 3

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The size of the sensor / film is not given but what are given are the pixel size and the resolution. Would the sensor size simply be the pixel size * the number of pixels along the width / rows?

The answer depends on how precise you need to be. For a rough, ballpark figure, this will probably be fine. If you need it to be exact, no way.

I also have only the focal length in pixels and was wondering how i can convert it to mm.

"Focal length in pixels" is exceedingly weird. However, if you consider the equation you've given, you'll note that sensor size is divided by (twice the) focal length, which means that if you have both in the same units, they cancel out. (I expect that you actually have focal length in pixels because someone did this in reverse, with only pixel dimensions to start with. That would make me suspicious of that number, again for anything other than a ballpark idea.)

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    \$\begingroup\$ I'd also check to see what the pixel size appears to be. If the focal length and sensor size proportions don't add up then something is wrong with the info. \$\endgroup\$
    – Michael C
    Nov 27, 2016 at 1:57
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Checking the Sony specifications, the image area of sensor is 6mm by 6.9mm. If this is the format used then armed with this data, I can calculate the angle of view yield for various focal lengths.

focal length AoV (vert.) AoV (horiz.) AoV (diag.)
6 mm 53.1º 59.8º 74.6º
8 mm 41.1º 46.7º 59.5º
10 mm 33.4⁰ 38.1º 49.1º
12 mm 28.1⁰ 32.1º 41.7º
15 mm 22.5⁰ 25.9º 33.9º
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Page 8 of their reference manual shows the sensor number (various sensors used): https://www.ptgrey.com/support/downloads/10117

Then look up that sensor size on data sheet on Google by searching for say:
sony icx424 sensor

Knowing sensor dimensions, then a calculator at http://www.scantips.com/lights/fieldofview.html will do the math.

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