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Thread: Angle of View Table

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    Default Angle of View Table

    There has been a couple of representations of the FOV/AOV of various lenses - I have put together a complete table of the AOV that should cover all 4/3 lenses. This table differs from the graphical representations in so far that it calculates not only the Diagonal but horizontal and vertical angles as well.

    The H and V are what we can easily relate to in terms of what you might see with a particular lens.

    Please let me know if I missed either a start or end size of any current or past Zooms or any Primes, and I'll add them to my table and re-calculate them.

    If it is of interest, I will get hold of the sensor dimensions for other sensor sizes and calculate them as well for comparison (just let me know).


    Horizontal Vertical Diagonal AOV for 4/3 Sensor
    Calculations based on Sensor size of 17.3mm 13mm 21.64mm (H V D)


    Code:
    Focal Length 7mm 	  AOV in Degrees H - 102.04  V - 85.76  D - 114.2 
    Focal Length 9mm 	  AOV in Degrees H - 87.73  V - 71.68  D - 100.49 
    Focal Length 10mm 	  AOV in Degrees H - 81.72  V - 66.05  D - 94.51 
    Focal Length 11mm 	  AOV in Degrees H - 76.36  V - 61.16  D - 89.05 
    Focal Length 12mm 	  AOV in Degrees H - 71.57  V - 56.89  D - 84.08 
    Focal Length 14mm 	  AOV in Degrees H - 63.42  V - 49.81  D - 75.4 
    Focal Length 17.5mm 	  AOV in Degrees H - 52.61  V - 40.75  D - 63.46 
    Focal Length 18mm 	  AOV in Degrees H - 51.33  V - 39.71  D - 62.02 
    Focal Length 20mm 	  AOV in Degrees H - 46.78  V - 36.01  D - 56.83 
    Focal Length 22mm 	  AOV in Degrees H - 42.93  V - 32.92  D - 52.38 
    Focal Length 25mm 	  AOV in Degrees H - 38.17  V - 29.15  D - 46.81 
    Focal Length 30mm 	  AOV in Degrees H - 32.17  V - 24.45  D - 39.67 
    Focal Length 35mm 	  AOV in Degrees H - 27.76  V - 21.04  D - 34.36 
    Focal Length 40mm 	  AOV in Degrees H - 24.4  V - 18.46  D - 30.27 
    Focal Length 42mm 	  AOV in Degrees H - 23.27  V - 17.59  D - 28.89 
    Focal Length 45mm 	  AOV in Degrees H - 21.76  V - 16.44  D - 27.04 
    Focal Length 50mm 	  AOV in Degrees H - 19.63  V - 14.81  D - 24.42 
    Focal Length 54mm 	  AOV in Degrees H - 18.2  V - 13.73  D - 22.66 
    Focal Length 55mm 	  AOV in Degrees H - 17.88  V - 13.48  D - 22.26 
    Focal Length 60mm 	  AOV in Degrees H - 16.41  V - 12.37  D - 20.44 
    Focal Length 70mm 	  AOV in Degrees H - 14.09  V - 10.61  D - 17.57 
    Focal Length 90mm 	  AOV in Degrees H - 10.98  V - 8.26  D - 13.71 
    Focal Length 100mm 	  AOV in Degrees H - 9.89  V - 7.44  D - 12.35 
    Focal Length 135mm 	  AOV in Degrees H - 7.33  V - 5.51  D - 9.16 
    Focal Length 150mm 	  AOV in Degrees H - 6.6  V - 4.96  D - 8.25 
    Focal Length 200mm 	  AOV in Degrees H - 4.95  V - 3.72  D - 6.19 
    Focal Length 250mm 	  AOV in Degrees H - 3.96  V - 2.98  D - 4.96 
    Focal Length 300mm 	  AOV in Degrees H - 3.3  V - 2.48  D - 4.13 
    Focal Length 400mm 	  AOV in Degrees H - 2.48  V - 1.86  D - 3.1 
    Focal Length 500mm 	  AOV in Degrees H - 1.98  V - 1.49  D - 2.48 
    Focal Length 800mm 	  AOV in Degrees H - 1.24  V - 0.93  D - 1.55
    Last edited by shrinkpictures; 07-29-2008 at 03:17 PM. Reason: updated table
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    Thumbs up Re: Angle of View Table

    Bob, very good chart and thank you. I cannot contest your figures #1 cheers Pete
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    Default Re: Angle of View Table

    Pete - >tks, All I did was to apply the appropriate formula to all of the lens sizes that I can remember and present it here for everyone's reference.

    For reference the formula I used is from info found at http://www.rags-int-inc.com/PhotoTechStuff/Lens101/

    Code:
    AoV = 2 * (arctangent((sensor_size/2) / focal_length))


    I don't claim to fully understand the Maths, but I can apply the formula to calculate everything.
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    Default Re: Angle of View Table

    Bob, nice work and thanks for the formula,, I can use it for my various telescopes and cameras that I do photography through,,


    Derry

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    Default Re: Angle of View Table

    Thank you, Bob. Great job.
    Could you please include 10mm too. (Sigma 10-20)
    I am looking forward to the 9-18 but keep the Sigma 10-20 in mind as an alternative. The angle is important but the price may also be important if there is a significant difference.
    It is ages ago that I used formula's like that (if I ever did ) so as you have it worked out, I dare humbly ask for your cooperation.
    Thanks,
    Luc

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    Default Re: Angle of View Table

    Thanks a bunch.

    To complete the list, 10mm and 20mm are missing for the Sigma 10-20mm.

    Edit : Woops. Somebody beat me to it
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    ** ZD 150mm f/2 ** 12-60mm SWD ** 50-200mm SWD **
    ** Sigma 30mm f/1.4 ** EC-20 ** Two FL-36R **
    ** Samyang 85mm f/1.4 ** OM 50mm f/1.8 + f/1.4 **
    ** Leica Elmarit 180mm f/2.8 ** Vivitar 35-70mm f.2.8-3.5 **
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    Default Re: Angle of View Table

    A peek at the Nikon 105 F2 on their web site shows an AOV of 23.20. Is this the Diagonal number?
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    Default Re: Angle of View Table

    OK, before we re-invent the wheel, don't forget to check the "Keepers" section.

    There you will find this:


    and this:


    The first one is also available as a PDF: http://forum.fourthirdsphoto.com/att...3&d=1184733012

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    Default Re: Angle of View Table

    Well, thank you, Jebir. The graphic angles are so much more meaningful (visualization) than the text ones.

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    Default Re: Angle of View Table

    luc -> I'll add 10 and 20 and update the table shortly.

    jens -> I was aware of that but also hate the idea of ONLY representing the diagonal AOV - hence the table giving more data - including the horizontal data which is what we see side to side....
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    Default Re: Angle of View Table

    Updated - Added 10, 20 (sigma 10-20 of course) and 55 (sigma 55-200)

    Is there any other start/end sizes that I have missed?

    As a side not, the Wikipedia page http://en.wikipedia.org/wiki/Angle_of_view covers off a lot of the theory.

    ==================================================

    Let me just mention a practical application of this data and how you might use it.

    Lets say you want to take a pano that covers a certain Angle and only want to combine 5 photo's. Lets pick ~100 degrees as our FOV for our pano.

    Now if a pano is 1/3 overlap we can surmise that photo 1 is 2/3 used, photo's 2-4 are 1/3 used (1/3 overlap each side) and photo 5 is also 2/3 used. This gives us a total of 7/3 ( 5 x 1/3 + 2 x 1/3 )or 2 1/3 total photos to get our angle.

    Now, to pick a suitable lens, we can then decide if this is going to be a horizontal or portrait oriented pano and do the simple maths. 100 / (7/3) = ~ 43 degrees.

    Look at the table and find something close to 43 degrees and horizontal, we come up with 22mm (42.93) being quite close and 17.5mm in Vertical (portrait mode) being pretty close at 40.75 degrees.

    If we went off the diagonal, which is how almost everything is presented, we would have used 30mm (39.67deg) being the closest, and if we shot the same pano with this lens (5 shots 1/3 overlap) we would have come up short - Vertical (portrait) would have been about 60 degrees (24 x (7/3) ) or Horizontal (landscape) would have been been about 75 degrees (32 X (7/3) )

    Yes, at first this is confusing, but at least with all of this info you CAN do all sorts of calculations to determine how many photos using a given focal length that you will need to make up a pano of any given AOV.

    Another Example, How do I calculate how many portrait oriented photos using a 50mm F/L (14.8 degrees) do I need to give me 180 degrees.

    We assume 1/3 overlap, and this means each photo uses 1/3 except for the first and last which use 2/3.

    So, we need ( (180 x 3)/14.8) -2 = 34 .5 photos - I would suggest a good level tripod

    So, yes, the extra info of both vertical and horizontal AOV data is extremely useful - much more so than just a diagonal AOV.
    Last edited by shrinkpictures; 07-29-2008 at 03:58 PM.
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    Default Re: Angle of View Table

    Quote Originally Posted by jebir View Post
    OK, before we re-invent the wheel, don't forget to check the "Keepers" section.

    and this:


    The first one is also available as a PDF: http://forum.fourthirdsphoto.com/att...3&d=1184733012

    Cheers, Jens.
    I did use plain postscript for this version. Just drop whatever lenses you're interested in into the "focal_lengths" array.

    Code:
    %!PS
    
    % focal lengths to display
    /focal_lengths [ 500 300 200 135 100 50 35 22 18 14 11 9 7 ] def
    
    %/format 17.3 def       % width of fourthirds
    %/descr (width) def
    
    %/format 13 def         % height of fourthirds
    %/descr (height) def
    
    /format 21.63 def       % diagonal of fourthirds
    /descr (diagonal) def
    
    % edit anything below this comment at your peril
    
    matrix currentmatrix /originmat exch def /umatrix {
            originmat matrix concatmatrix setmatrix
    } def [28.3465 0 0 28.3465 10.5 100.0] umatrix
    
    /dotshow {
            dup (.) search
                    { stringwidth pop 3 1 roll pop pop }
                    { stringwidth pop }
            ifelse
            neg 0 rmoveto show
    } def
    
    /tan { dup sin exch cos div } def
    /barwidth 5 def
    /xhome 10 def
    /yhome 2 def
    /incr .35 def
    /yoff 2 incr focal_lengths length mul add def
    
    /Times-Roman findfont
    0.3 scalefont
    setfont
    
    focal_lengths length 1 sub -1 0 {
            /curfl exch focal_lengths exch get def
            /aov format 2 curfl mul atan 2 mul def
            0.4 setgray
            0.02 setlinewidth
            xhome barwidth sub yhome yoff add moveto
            xhome barwidth add yhome yoff add lineto
            closepath stroke
            xhome barwidth sub yhome yoff add .03 add moveto
            curfl cvi 4 string cvs show (mm) show stroke
            xhome barwidth add .35 sub yhome yoff add .03 add moveto
            aov 10 mul cvi 10 div 5 string cvs dotshow
            /degree glyphshow stroke
            /xoff aov 2 div tan yoff mul def
            0.04 setlinewidth
            0.75 0.75 1 setrgbcolor
            xhome yhome moveto
            xhome xoff sub yhome yoff add lineto stroke
            xhome yhome moveto
            xhome xoff add yhome yoff add lineto stroke
            0 0 0.5 setrgbcolor
            xhome xoff sub yhome yoff add moveto
            xhome xoff add yhome yoff add lineto stroke
            /yoff yoff incr sub def
    } for
    
    0.4 setgray
    xhome 6 sub yhome incr add moveto
    descr show ( of 4/3\" \() show format 5 string cvs show (mm\) AoV) show
    xhome 6 sub yhome moveto
    (postscript) show (@) show (oxide) show (.) show (org) show
    
    showpage
    %%EOF
    Last edited by acme; 07-29-2008 at 05:47 PM. Reason: replace script

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    Default Re: Angle of View Table

    If you can re-generate 3 versions of the chart it would be great!

    1 showing Diagonal (current chart)

    1 showing portrait (vertical) and another showing Landscape (horizontal) This should simply be a matter of dropping in the H and V values in place of your D value.

    Maybe even generate different versions - based on the 3 lens grades.
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    Default Re: Angle of View Table

    Quote Originally Posted by shrinkpictures View Post
    If you can re-generate 3 versions of the chart it would be great!
    By far the nicest visualization of angle of view I've seen is the one someone did by overlaying on top of a 7mm shot of a boardwalk progressively smaller frames representing the longer focal lengths. Certainly someone will refresh my memory who produced it.

    But here are the charts you requested. You're free to use them for any purpose you see fit.






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    Default Re: Angle of View Table

    Quote Originally Posted by davidh202 View Post
    Yes, that's the one. Perfect choice of scene.


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    Default Re: Angle of View Table

    PDF Updated
    Last edited by lendur2; 09-10-2008 at 03:24 PM.

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