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Image Acquisitionand Proces

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Setting Up 31<br />

Although this would be useful for a barcode (as the information you are attempting<br />

to acquire is basically a one-dimensional line proÞle across the code), most<br />

detector arrays are two-dimensional, so this equation needs to be applied across both<br />

dimensions. Another example is measuring the size of an apple. Consider a particular<br />

variety of apple, which has a maximum horizontal size of 8 cm, its vertical size will<br />

not exceed 10 cm, and the required accuracy of the measurement needs to be 1 mm<br />

(0.001 m). The minimum sensor resolution is determined as:<br />

È m<br />

Sensor Resolution H<br />

=<br />

Ê<br />

ˆ<br />

Í<br />

pixels<br />

2 008 . ù<br />

Ë 0 001m<br />

¯ú = 160<br />

.<br />

indicating a sensor with a resolution of at least 160 ¥ 200 is required.<br />

2.3.2 DEPTH OF FIELD (DOF)<br />

È m<br />

Sensor Resolution V<br />

=<br />

Ê<br />

ˆ<br />

Í<br />

pixels<br />

2 010 . ù<br />

Ë 0 001m<br />

¯ú = 200<br />

.<br />

The DOF of a lens system is the lens-perpendicular spatial range of which objects<br />

remain in focus; any objects outside of the DOF will not be in focus. The DOF is<br />

directly related to the blur diameter, as shown in Figure 2.19. Consider a beam (a<br />

group of adjacent rays) of light traveling from the object through the lens and<br />

focusing on the CCD array of a camera. As the beam travels through the lens, it<br />

undergoes geometric aberration, both spatially and temporally, so the beam defocuses.<br />

If the beam is defocused enough to cover an area of the CCD that is larger<br />

than the required resolution (the blur spot), then the image will be out of focus. This<br />

phenomenon also can occur due to chromatic aberration, which is evident when<br />

different frequencies of light (e.g., colors in the visible spectrum) are diffracted at<br />

different angles.<br />

Blur<br />

Diameter<br />

Object<br />

Depth Of Field<br />

Lens<br />

FIGURE 2.19 Depth of Þeld.<br />

One method of increasing DOF is to place a limiting iris in front of the lens<br />

(Figure 2.20).Unfortunately, using this method causes less light to irradiate the lens,<br />

so you will need to increase the amount of light falling on the object to achieve<br />

similar contrast levels.

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