DSLR spherical resolution

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{{Glossary|What spherical panorama resolution can I obtain from a certain fisheye/camera combination.}}
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{{Glossary|What [[spherical]] panorama resolution can I obtain from a certain [[fisheyes|fisheye]]/camera combination.}}
 
==Intro==
 
==Intro==
 
In general photography megapixels are more or less synonymous to resulting image resolution. Panorama photography is a bit different, especially spherical panoramas. Here the sensor pixel density is more important than the sensor pixel count.
 
In general photography megapixels are more or less synonymous to resulting image resolution. Panorama photography is a bit different, especially spherical panoramas. Here the sensor pixel density is more important than the sensor pixel count.
  
 
==The Problem==
 
==The Problem==
Digital Single Lens Reflex (DSLR) cameras exist in three major groups:  
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Digital Single Lens Reflex (DSLR) cameras exist in four major groups:  
* With FourThirds sensor (crop factor 2.0)
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* With [[#FourThirds|FourThirds]] sensor (crop factor 2.0)
* With an APS-C type sensor (crop factor 1.5 or 1.6)
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* With an [[#APS-C|APS-C]] type sensor (crop factor 1.5 or 1.6)
* With a sensor of the full 35mm film size (crop factor 1.0)
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* With [[#APS-H|APS-H]] type sensor (crop factor 1.3)
 +
* With a sensor of the [[#Full size|full 35mm film size]] (crop factor 1.0)
  
 
In each size category there are several cameras with different sensor resolutions. And there are several lenses that can be attached to cameras with different sensor sizes. To have the effects of different lenses comparable the concept of a 35mm equivalent focal length has been established - the real focal length multiplied with the crop factor gives the same [[Field of View]] like for a 35mm film camera.  
 
In each size category there are several cameras with different sensor resolutions. And there are several lenses that can be attached to cameras with different sensor sizes. To have the effects of different lenses comparable the concept of a 35mm equivalent focal length has been established - the real focal length multiplied with the crop factor gives the same [[Field of View]] like for a 35mm film camera.  
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In the [[Fisheye Projection]] an angular distance from the optical axis maps to a linear distance on the sensor. The mapping is determined by the focal length (the following numbers are approximations, since real fisheyes almost never resemble the ideal fisheye mapping):
 
In the [[Fisheye Projection]] an angular distance from the optical axis maps to a linear distance on the sensor. The mapping is determined by the focal length (the following numbers are approximations, since real fisheyes almost never resemble the ideal fisheye mapping):
  
* 8mm focal length 7./mm
+
* 5.6mm focal length 11.4°/mm
* 10.5mm focal length 5.5°/mm
+
* 8mm focal length 8°/mm
* 16mm focal lenght 3.6°/mm
+
* 10.5mm focal length /mm
 +
* 16mm focal length 4°/mm
  
 
== Pixel density ==
 
== Pixel density ==
 
To deduce the pixel resolution obtainable by a certain sensor/lens combination we should know the density in pixels/mm of the respective sensor. The pixel density can be calculated roughly from the Megapixels (better would be actual pixel size) and the sensor size. For the three major groups and some typical Megapixel sizes:
 
To deduce the pixel resolution obtainable by a certain sensor/lens combination we should know the density in pixels/mm of the respective sensor. The pixel density can be calculated roughly from the Megapixels (better would be actual pixel size) and the sensor size. For the three major groups and some typical Megapixel sizes:
  
FourThirds with 13.5mm short side
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=== FourThirds ===
  Megapixel       6      8       10
+
with 13.5mm short side
  Short side px  2121    2450    2739
+
  Megapixel         6      8     10     12
  px/mm           157    181    203
+
  Short side px  2121    2450    2739   3024
 +
  px/mm           157    181    203     232
  
APS-C with 16mm short side               
+
=== APS-C ===
  Megapixel       6      8       10      12
+
with 16mm short side               
 +
  Megapixel         6      8     10      12
 
  Short side px  2000  2309    2582    2828
 
  Short side px  2000  2309    2582    2828
  px/mm           125    144    161    177
+
  px/mm           125    144    161    177
  
Full size with 24mm short side
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=== APS-H ===
  Megapixel       6      8       10      12      16      21
+
with 19mm short side             
  Short side px  2000    2309    2582    2828    3266    3742
+
Megapixel          8      10      16
  px/mm           83      96     108    118    136    156
+
Short side px  2336    2592    3264
 +
px/mm            123    137    172
 +
 
 +
=== Full size ===
 +
with 24mm short side
 +
  Megapixel         6      8     10      12      16      21     24      28      36
 +
  Short side px  2000    2309    2582    2828    3266    3742   4032    4320    4900
 +
  px/mm             83      96     108    118    136    156     168    180    204
  
 
== Pano sizes ==
 
== Pano sizes ==
 
From the above values we can easily calculate some sample panorama resolutions. The table gives some rounded values for the maximum pixel size of an equirectangular:
 
From the above values we can easily calculate some sample panorama resolutions. The table gives some rounded values for the maximum pixel size of an equirectangular:
  
  FourThirds MP   -       -      -      -      6      8       10
+
  FourThirds MP     -     -      -      -      6      7       8      10     12
  APS-C      MP   -       -      6      8       10      12      -
+
  APS-C      MP     -     -      6      8     10     11     12      15      20
  Full size  MP   6       8       12      16      21      -      -
+
APS-H      MP      -      -      8      10      -      16      -      -      -
  pixel/mm       80     100    120    140    160    180    200
+
  Full size  MP     6     8     12      16      21      24      28      36      46<b>
  f=8mm    size  4000   5000   6000   7000   8000   9000   10000
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  pixel/mm         80   100    120    140    160     170     180    204    230</b>
  f=10.5mm size  5200   6500   7900   9200    10500   11800   13100
+
f=5.6mm  size  2520  3150    3780    4420    5050    5360    5680    6440    7260
  f=16mm  size  8000    10000   12000   14000   16000   18000   20000
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  f=8mm    size  3600  4500   5400   6300   7200   7600   8100   9180  10350
 +
  f=10.5mm size  4800  6000   7200   8400   9600   10200   10800  12240  13800
 +
  f=16mm  size  7200  9000  10800  12600   14400   15300   16200   18360   20700
  
The formula for an exact calculation is <math> \frac {pixel/mm} {degree/mm} *360 </math>
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The formula for an exact calculation is <math> \textstyle \frac {\text{pixel}/\text{mm}} {\text{degree}/\text{mm}}\cdot360</math>
  
<small>--[[User:Erik Krause|Erik Krause]] 22:11, 21 August 2007 (CEST)</small>
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<small>
 +
--[[User:Erik Krause|Erik Krause]] 22:11, 21 August 2007 (CEST)
 +
</small>
 
[[Category:Tutorial:Nice to know]]
 
[[Category:Tutorial:Nice to know]]
 
[[Category:Glossary]]
 
[[Category:Glossary]]

Revision as of 23:24, 27 December 2012


Contents

Intro

In general photography megapixels are more or less synonymous to resulting image resolution. Panorama photography is a bit different, especially spherical panoramas. Here the sensor pixel density is more important than the sensor pixel count.

The Problem

Digital Single Lens Reflex (DSLR) cameras exist in four major groups:

In each size category there are several cameras with different sensor resolutions. And there are several lenses that can be attached to cameras with different sensor sizes. To have the effects of different lenses comparable the concept of a 35mm equivalent focal length has been established - the real focal length multiplied with the crop factor gives the same Field of View like for a 35mm film camera.

However, this is not possible for fisheye lenses, since the Focal Length does not correspond linearly to the Field of View. One has to look at the degree/mm ratio and absolute pixel density instead.

Degree/mm

In the Fisheye Projection an angular distance from the optical axis maps to a linear distance on the sensor. The mapping is determined by the focal length (the following numbers are approximations, since real fisheyes almost never resemble the ideal fisheye mapping):

  • 5.6mm focal length 11.4°/mm
  • 8mm focal length 8°/mm
  • 10.5mm focal length 6°/mm
  • 16mm focal length 4°/mm

Pixel density

To deduce the pixel resolution obtainable by a certain sensor/lens combination we should know the density in pixels/mm of the respective sensor. The pixel density can be calculated roughly from the Megapixels (better would be actual pixel size) and the sensor size. For the three major groups and some typical Megapixel sizes:

FourThirds

with 13.5mm short side

Megapixel          6       8      10      12
Short side px   2121    2450    2739    3024
px/mm            157     181     203     232

APS-C

with 16mm short side

Megapixel          6      8      10      12
Short side px   2000   2309    2582    2828
px/mm            125    144     161     177

APS-H

with 19mm short side

Megapixel          8      10      16
Short side px   2336    2592    3264
px/mm            123     137     172

Full size

with 24mm short side

Megapixel          6       8      10      12      16      21      24      28      36
Short side px   2000    2309    2582    2828    3266    3742    4032    4320    4900
px/mm             83      96     108     118     136     156     168     180     204

Pano sizes

From the above values we can easily calculate some sample panorama resolutions. The table gives some rounded values for the maximum pixel size of an equirectangular:

FourThirds MP      -      -       -       -       6       7       8      10      12
APS-C      MP      -      -       6       8      10      11      12      15      20
APS-H      MP      -      -       8      10       -      16      -       -       -
Full size  MP      6      8      12      16      21      24      28      36      46
pixel/mm          80    100     120     140     160     170     180     204     230
f=5.6mm  size   2520   3150    3780    4420    5050    5360    5680    6440    7260 
f=8mm    size   3600   4500    5400    6300    7200    7600    8100    9180   10350
f=10.5mm size   4800   6000    7200    8400    9600   10200   10800   12240   13800 
f=16mm   size   7200   9000   10800   12600   14400   15300   16200   18360   20700

The formula for an exact calculation is  \textstyle \frac {\text{pixel}/\text{mm}} {\text{degree}/\text{mm}}\cdot360

--Erik Krause 22:11, 21 August 2007 (CEST)

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