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The focal length of a lens determines the field of view at particular distances. A small focal length gives a wide-angle view. A large focal length gives a narrow telephoto view. Wide-angle lenses have a better depth of field than telephoto lenses. This means that you can focus both close to the camera as well as at a distance. Telephoto lenses require a more precise focus adjustment.
The focal length of the lens requires careful selection to ensure that the correct area is in view and that the degree of detail is acceptable. A rule of thumb is that to be able to “see” a person on a monitor they should represent at least 10% of the screen height. To “see” in this context means to be able to able to decide that it is a person. For purposes of being able to identify that person requires them to be at least 30% of the screen height and preferably greater than 60%.
There are three main types of lenses:
Monofocal. The focal length is fixed.
Variable focal zoom. This is a design of lens that has a limited range of manual focal length adjustment. Whenever the focal length is altered, the lens has to be refocused.
Zoom. The focal length can be adjusted over a range. The image stays in focus when the focal length is adjusted. The zoom may be manual or motorised.
The focal length of the lens in combination with the size of the sensor gives the viewing angle. The lens must make an image large enough for the sensor. The larger the sensor, the more expensive the lens.
The angle of view is given by the following formulae:
Horizontal Angle of view = 2 x tan-1 (w/2f)
Vertical Angle of View = 2 x tan-1 (h/2f)
Where, f is the focal length and w and h are respectively the width and height of the sensor. The angle of view for a given focal length varies according to the sensor size.
The relationship between sensor size, image size, the distance of the object from the camera and the focal length of the lens is given below:
f = w x D/W
where f is the focal length, D is the distance to the object, W is the width of the object and w is the width of the sensor [w=3.6mm, 1/4” sensor, w=4.8mm, 1/3” sensor]. The aspect ratio, Horizontal Size/Vertical Size, is 4/3.
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