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2M30 User Manual - Frame Grabbers

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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

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