Field of View - Revision history

Erik Krause: Reverted edits by Integral (Talk) to last version by Mfwitten

2011-01-27T18:13:41Z

Reverted edits by Integral (Talk) to last version by Mfwitten

Integral: /* Conversion from horizontal to vertical and vice versa */

2011-01-27T12:35:48Z

‎Conversion from horizontal to vertical and vice versa

Mfwitten: Add Field-of-view.svg image

2010-04-09T06:39:03Z

Add Field-of-view.svg image

Erik Krause: /* Conversion from horizontal to vertical and vice versa */ pretty formulas

2009-06-11T10:57:05Z

‎Conversion from horizontal to vertical and vice versa: pretty formulas

Erik Krause: /* Conversion from focal length */ universal formula

2009-06-11T10:54:30Z

‎Conversion from focal length: universal formula

Thomas Rauscher: Converted formulas to

2008-05-28T20:57:43Z

Converted formulas to <math>

Erik Krause: Prepared for new glossary template

2007-11-17T22:05:29Z

Prepared for new glossary template

Bruno: fixed utf-8/latin1 conversion errors

2006-10-01T15:58:03Z

fixed utf-8/latin1 conversion errors

WikiSysop: 5 revision(s)

2006-07-13T20:28:00Z

5 revision(s)

WikiSysop: 1 revision(s)

2006-07-13T19:56:39Z

1 revision(s)

← Older revision		Revision as of 18:13, 27 January 2011
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	<math>hFoV = 2 * atan \left( tan \left(\frac{vFoV}{2} \right) * \frac{width}{height} \right)</math>		<math>hFoV = 2 * atan \left( tan \left(\frac{vFoV}{2} \right) * \frac{width}{height} \right)</math>
−	~~[http://www.pokerenfrancais.eu/poker-en-ligne-gratuit/ jeu de poker en ligne gratuit]~~

	[[Category:Glossary]]		[[Category:Glossary]]

← Older revision		Revision as of 12:35, 27 January 2011
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	<math>hFoV = 2 * atan \left( tan \left(\frac{vFoV}{2} \right) * \frac{width}{height} \right)</math>		<math>hFoV = 2 * atan \left( tan \left(\frac{vFoV}{2} \right) * \frac{width}{height} \right)</math>
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	[[Category:Glossary]]		[[Category:Glossary]]

@@ Line 3: / Line 3: @@
 Most people speak of '''field of view''' when in fact they mean '''angle of view'''. Field of view is the distance covered by a projection at a certain distance. So if an image exactly shows a 2 meter wide object at 1 meter distance, then the field of view is 2 meter (and the angle of view is 90°).
-Angle of view is also known as '''angle of coverage'''. From here on and on the rest of the wiki we will only speak of field of view (although we should speak of angle of view).
+Angle of view is also known as '''angle of coverage'''.
 Field of view is often abbreviated as '''FoV'''.

@@ Line 37: / Line 37: @@
 For rectilinear images:
-<math>vFoV = 2 * atan( tan(\frac{hFoV}{2}) * \frac{height}{width})</math>
+<math>vFoV = 2 * atan \left( tan \left(\frac{hFoV}{2} \right) * \frac{height}{width} \right)</math>
-<math>hFoV =  2 * atan( tan(\frac{vFoV}{2}) * \frac{width}{height})</math>
+<math>hFoV =  2 * atan \left( tan \left(\frac{vFoV}{2} \right) * \frac{width}{height} \right)</math>
 [[Category:Glossary]]

@@ Line 20: / Line 20: @@
 The other standard measure of the ''width'' or ''narrowness'' of a lens is [[Focal Length]].
-Assuming a 35mm negative width and a [[Rectilinear Projection|rectilinear]] lens, the field of view can be calculated like so:
+Assuming a [[Rectilinear Projection|rectilinear]] lens, the field of view can be calculated like this (<math>size</math> being either width or height for the respective FoV):
-<math>FoV = 2 * atan \frac{35}{2 * Focal Length} </math>
+<math>FoV = 2 * atan \left(\frac{size}{2 * Focal Length} \right) </math>
 See [[Fisheye Projection]] for formulas for [[Fisheyes]].

@@ Line 6: / Line 6: @@
 Field of view is often abbreviated as '''FoV'''.
-Usually '''field of view''' refers to the '''horizontal field of view''' (HFoV) of an image. Some applications make use of the '''vertical field of view''' (VFoV) which can be calculated from the [[Aspect Ratio]] of the image:
+Usually '''field of view''' refers to the '''horizontal field of view''' (hFoV) of an image. Some applications make use of the '''vertical field of view''' (vFoV) which can be calculated from the [[Aspect Ratio]] of the image:
 For rectilinear images:
-  Aspect Ratio = tan (HFoV / 2)  / tan (VFoV / 2)
 For fisheye images (approximation):
-  Aspect Ratio = HFoV / VFoV
 == Conversion from focal length ==
@@ Line 20: / Line 22: @@
 Assuming a 35mm negative width and a [[Rectilinear Projection|rectilinear]] lens, the field of view can be calculated like so:
-  Field of View = 2 x atan ( 35 / ( 2 x Focal Length ) )
+<math>FoV = 2 * atan \frac{35}{2 * Focal Length} </math>
 See [[Fisheye Projection]] for formulas for [[Fisheyes]].
@@ Line 28: / Line 30: @@
 For fisheye (approximation) and equirectangular images:
-  vfov = height / width * hfov
+<math>vFoV = hFoV * \frac{height}{width}\ </math>
-  hfov = width / height * vfov
 For rectilinear images:
-  vfov = 2 * atan( tan(hfov/2) * height/width)
+<math>vFoV = 2 * atan( tan(\frac{hFoV}{2}) * \frac{height}{width})</math>
-  hfov = 2 * atan( tan(vfov/2) * width/height)
 [[Category:Glossary]]

← Older revision		Revision as of 22:05, 17 November 2007
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		+	{{Glossary\|The angle in degrees that a projection covers.}}
	The '''angle of view''' of a photograph or camera is a measure of the proportion of a scene included in the image. Simply said: How many degrees of view are included in an image. A typical fixed lens camera might have an angle of view of 50°, a [[Fisheye Projection\|fisheye]] lens can have an angle of view greater than 180° and a full [[equirectangular]] or [[cylindrical panorama]] would have an angle of view of 360°.		The '''angle of view''' of a photograph or camera is a measure of the proportion of a scene included in the image. Simply said: How many degrees of view are included in an image. A typical fixed lens camera might have an angle of view of 50°, a [[Fisheye Projection\|fisheye]] lens can have an angle of view greater than 180° and a full [[equirectangular]] or [[cylindrical panorama]] would have an angle of view of 360°.

@@ Line 1: / Line 1: @@
-The '''angle of view''' of a photograph or camera is a measure of the proportion of a scene included in the image. Simply said: How many degrees of view are included in an image. A typical fixed lens camera might have an angle of view of 50�, a [[Fisheye Projection|fisheye]] lens can have an angle of view greater than 180� and a full [[equirectangular]] or [[cylindrical panorama]] would have an angle of view of 360�.
+The '''angle of view''' of a photograph or camera is a measure of the proportion of a scene included in the image. Simply said: How many degrees of view are included in an image. A typical fixed lens camera might have an angle of view of 50°, a [[Fisheye Projection|fisheye]] lens can have an angle of view greater than 180° and a full [[equirectangular]] or [[cylindrical panorama]] would have an angle of view of 360°.
-Most people speak of '''field of view''' when in fact they mean '''angle of view'''. Field of view is the distance covered by a projection at a certain distance. So if an image exactly shows a 2 meter wide object at 1 meter distance, then the field of view is 2 meter (and the angle of view is 90�).
+Most people speak of '''field of view''' when in fact they mean '''angle of view'''. Field of view is the distance covered by a projection at a certain distance. So if an image exactly shows a 2 meter wide object at 1 meter distance, then the field of view is 2 meter (and the angle of view is 90°).
 Angle of view is also known as '''angle of coverage'''. From here on and on the rest of the wiki we will only speak of field of view (although we should speak of angle of view).

← Older revision	Revision as of 20:28, 13 July 2006
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