When we talk about fisheye lenses, many people tend to confuse them with ultra-wide-angle lenses. Actually, the difference between the two lies in the projection method. Also, from a design perspective, the larger the image circle of a fisheye lens, the easier it is to design. I think you can understand this by looking at the projection method formula. In 1991, Fit developed the world's first f=1.91/F=1.8 fisheye lens for 2/3-inch CCD camera cameras, and has since provided it with sister models.
■Projection method
The following fisheye projection methods are available. Fisheye lenses generally use the equidistant projection method. When the image height is y, the focal length is f, and the half angle of view is θ, the formula expressing the projection is different as shown below. By the way, the projection method for a normal lens is y=ftanθ. Therefore, it is different from a normal wide-angle lens.
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