Detailed introduction to the calculation method of industrial lens for machine vision

First, the calculation method of industrial lens in machine vision

Second, camera and lens selection skills

1, the main parameters of the camera:
Sensing Size SS (Sensor Size)
2, the main parameters of the lens:
Focal length FL (Focal Length)
Minimum object distance Dmin(minimum Focal Distance)

3. Other parameters:
Field of View FOV (Field of View)
Pixel pixel
FOVmin=SS(Dmin/FL)
Such as: SS = 6.4mm, Dmin = 8in, FL = 12mm pixel = 640 * 480
Then: FOVmin=6.4(8/12)=4.23mm 4.23/640=0.007mm
If the accuracy requirement is 0.01mm, 1pixels=0.007mm<0.01mm
Conclusion: The accuracy can be achieved

Third, industrial camera sensor size: (unit: mm)

1/4": (3.2 mm & TImes; 2.4 mm); 1/3": (4.8 mm & TImes; 3.6 mm); 1/2": (6.4 mm & TImes; 4.8 mm);
2/3": (8.8 mm & TImes; 6.6 mm); 1": (12.8 mm x 9.6 mm);

Fourth, the size of CCD camera components

Five, line array sensor size (unit: mm) Sixth, the formula:

Resolution (μm) = 0.61 (fixed value) x 0.55 (design wavelength) ÷ NA
Effective F No=magnification/2NA
Depth of field (mm) = 2 (acceptable fuzzy circle diameter x effective F No ÷ magnification 2)
Luminous flux diameter (φ) = 2NAx height of object + field of view size (angle)

Seven, the display magnification and comprehensive rate of seeking:

Display magnification = display inches x 25.4 (1 inch) ÷ CCD camera diagonal size integrated magnification = display magnification x optical magnification Example: 2x optical magnification lens and 1/2'' CCD camera combination on a 14'' display Image magnification

Comprehensive magnification = 44.45x2 = 88.9

Eight, optical magnification

Optical magnification

Image size relative to the magnification of the object
β=y'/y
=b/a
=NA/NA'
=CCD camera element size / actual field size

Electronic magnification

The electronic magnification is a camera image taken on the CCD and the image is displayed at the magnification of the display.

Display magnification

The display magnification is the magnification of the object being imaged on the display by the lens.
Display magnification = (optical magnification) × (electronic magnification)
Example: optical magnification = 0.2X, CCD size 1/2 (diagonal length 8mm), display 14〃
Electronic magnification = 14 × 25.4 / 8 = 44.45 (times)
Display magnification = 0.2 × 44.45 = 8.89 (times) (1 inch = 25.4mm)

Field of view

The field of view is the range in which the object can be seen when the lens is connected to the CCD camera.
The size of the field of view is: (CCD format size) / (optical magnification)
Example: optical magnification = 0.2X, CCD1/2 〃 (4.8mm long, 6.4mm wide)
Field of view size: length = 4.8 / 0.2 = 24 (mm)
Width = 6.4 / 0.2 = 32 (mm)

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