Optics/Lens Tutorial

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Lens Parameters

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Lens Parameters

(Part 2 0f 2)

Lens Format – The lens needs to cover an area as large or larger than the sensor size. Hence, the lens format should be, at least, equivalent to the camera format. Most CCD sensors come in sizes of 1", 2/3", 1/2", 1/3" and 1/4".

Different sensor formats require corresponding lens formats. The lens format has always to be equal or larger than the sensor format. Larger lens formats reduce distortion at the outside edges. C-Mount and CS-Mount CCTV lenses can be used for all area-scan sensor formats. However, these lenses are not recommended for precision measurements or three-dimensional part inspection.

Mega-pixel line-scan cameras, due to their size, need a larger image format than C-mount lenses can offer. In this case, an F-mount 35 SLR lens can be used. These lenses can also be used with a C-mount camera when a higher image quality is required. This requires a C-mount to F-mount adapter.

 

C-MOUNT - An industry standard for mounting a lens to a camera where a 1" x 32 thread is employed and the distance from the image plane is 17.52mm from the shoulder of the lens. A C-mount lens may be used with a CS-mount camera with the use of a 5mm-adapter ring.

CS-MOUNT - A relatively new industry standard for mounting a lens to a camera where a 1" X 32 thread is employed and the distance from the image plane to the shoulder of the lens is 12.52mm. A CS-mount lens may NOT be used on a C-mount camera.

 

Resolution – Resolution is the ability of a lens to distinguish two features that are close together. Also, a lens with high resolution will show an edge transition in fewer pixels than a lens with low resolution. The resolving power of the optics for viewing distant objects is:

where N is the f/number and l is the light’s wavelength. The resolving power is limited by diffraction that spreads each object point to an image spot (Airy disk) - the D being the diameter of the inner bright spot. A practical test for determining the resolution for machine vision uses a target with multiple bars and various spacing between bars.

This type of target can also be used to measure contrast and magnification. Resolution of the lens does not determine detection resolution, which can be effected by lens distortions and aberrations, lighting deficiencies, or limited camera resolution.

Contrast - Contrast is the amount of difference between light and dark features in an image.

The light is the gray level of the brightest pixel and the dark is the gray level of the darkest pixel.

A contrast of 1 means transition from full light to full dark. A higher resolution lens not only resolves finer features but also images larger features at a higher contrast. A high-contrast image appears sharper than a lower contrast image even at the same resolution. The quality of optics and lighting can affect the contrast.

Distortion and Aberrations – The simple lens formulas are valid only with ideally thin lenses, no spherical distortion, no field curvature, and using monochromatic light.

Geometric Distortions – Pincushion and barrel geometric distortions must be compensated especially in gauging applications. Distortion can be measured by using a precise dot target, which can also measure the magnification.

Aberrations – chromaticity, sphericity, coma, astigmatism, field curvature, and vignetting are corrected by incorporating multiple lenses that compensate for each other. However, it is impossible to design a lens that is well corrected for all distances, FOVs, and wavelengths. The smaller the range, the simpler the design. Hence, the lens may not perform correctly if used under different conditions.

 


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