Magnification And Resolution - Dalsa Piranha 3 Series User Manual

8k to 12k line scan ccd cameras
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66
lens su rface to the second focal point. The object distance (OD) is the d istance from the first
principal point to the object.
Figure 20: Primary Points in a Lens System

Magnification and Resolution

The m agnification of a lens is the ratio of the im age size to the object size:
m
By sim ilar triangles, the m agnification is alternatively given by:
m
These equ ations can be com bined to give their m ost u sefu l form :
h
h
Example: An acqu isition system has a 512 x 512 elem ent, 10m pixel pitch area scan cam era,
a lens w ith an effective focal length of 45m m , and requ ires that 100m in the object space
correspond to each pixel in the im age sensor. Using the preced ing equ ation, the object
d istance m u st be 450m m (0.450m ).
10
100
03-032-10216-06
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w here m is the m agnification, h' is the im age height
h
(pixel size) and h is the object height (d esired object
h
resolu tion size).
f
OD
f
This is the governing equ ation for m any object and
im age plane param eters.
OD
m
45
mm
OD
450
m
OD
mm
( .
0 450
m
)
Piranha 3 User Manual
Teledyne DALSA

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