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Re: [OM] Re: [OM Angle of view: Camera

Subject: Re: [OM] Re: [OM Angle of view: Camera
From: "Paul D. Farrar" <farrar@xxxxxxxxxxxx>
Date: Thu, 7 Jan 1999 00:19:19 -0600
At 10:13 AM 1/7/99 +1000, you wrote:
>"Rand E. Tomcala" <rtomcala@xxxxxxxxxxx> moved upon the face of the 'Net
and spake thusly:
>
>> Paul,
>>   Is there an easy way to figure the angle of view for lens of less than
>> 50mm.  Is there a table somewhere on the internet.  Case in point, I
>> have a 17mm standard view lens, what is the angle of view and how would
>
>For a non-fisheye, angle of view is 
>
>       2 * arctangent ( film-dimension / ( f * 2 ) )
>
>eg. for 50mm
>
>       2 * atan ( 43.2 / 100 ) = 46.72 degrees (on the diagonal)
>
>Remember to keep your units the same--millimetres or metres or
>whatever, and beware that many programming languages and calculators
>give inverse trigonometric results in radians, not degrees.   Multiply
>by ( 180 / pi ) to convert radians to degrees.
>
>Extreme wide-angle lenses do such varied trickery that this formula
>breaks down, and field of view is best determined experimentally (or
>by RTFM).
>
>Chris.

For small x, atan(x) ~ x, so

angle = 2 * (180/pi) * atan( 43.3 / (f * 2) )     with radians to deg conversion
      = 2 * (180/pi) * 43.3 / (f * 2)
      ~ 180 * 43.3 / (f * pi)
      ~ 2400 / f

which breaks down below f = 50mm. An 18mm is 100deg.

Paul Farrar


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