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DS-24-0<strong>2M30</strong> and DS-25-0<strong>2M30</strong> <strong>User</strong>’s <strong>Manual</strong> 35<br />
Figure 16: Primary Points in a Lens System<br />
Magnification and Resolution<br />
The magnification of a lens is the ratio of the image size to the object size:<br />
m<br />
h where m is the magnification, h’ is the image height<br />
<br />
h (pixel size) and h is the object height (desired object<br />
resolution size).<br />
By similar triangles, the magnification is alternatively given by:<br />
f<br />
m <br />
OD<br />
These equations can be combined to give their most useful form:<br />
h f<br />
<br />
h OD<br />
This is the governing equation for many object and<br />
image plane parameters.<br />
Example: An acquisition system has a 512 x 512 element, 10m pixel pitch area scan<br />
camera, a lens with an effective focal length of 45mm, and requires that 100m in the<br />
object space correspond to each pixel in the image sensor. Using the preceding equation,<br />
the object distance must be 450mm (0.450m).<br />
10m<br />
45mm<br />
OD 450mm ( 0. 450m)<br />
100m<br />
OD<br />
DALSA 03-32-10157-02