Wolfram Computation Meets Knowledge

Angle of View

The angle of view describes the angular extent of a given scene that is imaged by a camera in the vertical and horizontal directions.

The angle of view increases as the arctangent of the ratio increases between the dimension of interest and the focal length.

Formula

{QuantityVariable[Subscript["α", "v"], "Angle"] == 2*ArcTan[QuantityVariable["h", "Height"]/(2*QuantityVariable["f", "Length"])], QuantityVariable[Subscript["α", "h"], "Angle"] == 2*ArcTan[QuantityVariable["w", "Width"]/(2*QuantityVariable["f", "Length"])]}

symbol description physical quantity
αv vertical angle of view "Angle"
f focal length "Length"
h height of image format "Height"
αh horizontal angle of view "Angle"
w width of image format "Width"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Angle of View"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Angle of View"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[
 ResourceObject[
  "Angle of View"], {QuantityVariable["f","Length"] -> 
   Quantity[50, "Millimeters"]}]
Out[3]=

Publisher Information