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Chromasens CD40127_R02 allPIXA_pro_User Manual.docx
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11.2 Camera system design / lens selections
11.2.1 Calculating the object-to-image distance
To be able to calculate the optical setup, you need the following parameters:
Image size (Sensor size of camera (
which is
in use
))
Object size/width
Focal length (from data sheet of the lens)
Principal main plain distance (from data sheet of the lens)
First, calculate the magnification:
𝑚 =
𝐼𝑚𝑎𝑔𝑒𝑆𝑖𝑧𝑒/𝑚𝑚
𝑂𝑏𝑗𝑒𝑐𝑡𝑆𝑖𝑧𝑒/𝑚𝑚
After getting the result for the magnification, calculate the object-to-image distance by
following:
Calculate the image distance:
𝐼𝑚𝑎𝑔𝑒𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 = 𝐹𝑜𝑐𝑎𝑙𝐿𝑒𝑛𝑔𝑡ℎ ∗ (𝑚 + 1)
Calculate the object distance:
𝑂𝑏𝑗𝑒𝑐𝑡𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 = 𝐹𝑜𝑐𝑎𝑙𝐿𝑒𝑛𝑔𝑡ℎ ∗ (
𝑚 + 1
𝑚
)
Calculate the object-to-image distance with note of the main plain distance:
𝑂𝑏𝑗𝑒𝑐𝑡𝐼𝑚𝑎𝑔𝑒𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 = 𝐼𝑚𝑎𝑔𝑒𝑆𝑖𝑧𝑒 + 𝑂𝑏𝑗𝑒𝑐𝑡𝑆𝑖𝑧𝑒 + 𝑀𝑎𝑖𝑛 𝑝𝑙𝑎𝑖𝑛 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒
f = focal length
y = object size
y’ = image size
Example:
Camera:
allPIXA pro camera 7300
73 mm (10um/pixel * 7300 pixels)
Object width/size:
450 mm
Lens:
90.1 mm real focal length
-2.5 mm principal main plain distance
𝑚 =
𝐼𝑚𝑎𝑔𝑒𝑆𝑖𝑧𝑒
𝑂𝑏𝑗𝑒𝑐𝑡𝑆𝑖𝑧𝑒
= 0.162