Fisheye lens

A fisheye converter lens on a Nikon 1 V1

A fisheye lens is an ultra wide-angle lens that produces strong visual distortion intended to create a wide panoramic or hemispherical image.[1][2] Fisheye lenses achieve extremely wide angles of view by forgoing producing images with straight lines of perspective (rectilinear images), opting instead for a special mapping (for example: equisolid angle), which gives images a characteristic convex non-rectilinear appearance.

The term fisheye was coined in 1906 by American physicist and inventor Robert W. Wood based on how a fish would see an ultrawide hemispherical view from beneath the water (a phenomenon known as Snell's window).[2][3] Their first practical use was in the 1920s for use in meteorology[4][5] to study cloud formation giving them the name "whole-sky lenses". The angle of view of a fisheye lens is usually between 100 and 180 degrees[1] while the focal lengths depend on the film format they are designed for.

Mass-produced fisheye lenses for photography first appeared in the early 1960s[6] and are generally used for their unique, distorted appearance. For the popular 35 mm film format, typical focal lengths of fisheye lenses are between 8 mm and 10 mm for circular images, and 15–16 mm for full-frame images. For digital cameras using smaller electronic imagers such as 1/4" and 1/3" format CCD or CMOS sensors, the focal length of "miniature" fisheye lenses can be as short as 1 to 2mm.

These types of lenses also have other applications such as re-projecting images filmed through a fisheye lens, or created via computer generated graphics, onto hemispherical screens. Fisheye lenses are also used for scientific photography such as recording of aurora and meteors, and to study plant canopy geometry and to calculate near-ground solar radiation. They are also used as peephole door viewers to give the user a wide field of view.

Uses in photography

In a circular fisheye lens, the image circle is inscribed in the film or sensor area; in a full-frame fisheye lens the image circle is circumscribed around the film or sensor area.

Further, different fisheye lenses distort images differently, and the manner of distortion is referred to as their mapping function. A common type for consumer use is equisolid angle.

Although there are digital fisheye effects available both in-camera and as computer software they can't extend the angle of view of the original images to the very large one of a true fisheye lens.

Circular fisheye

Image taken using a circular fisheye lens
ESO's VLT image taken with a circular fisheye lens.

The first types of fisheye lenses to be developed were "circular fisheye" — lenses which took in a 180° hemisphere and projected this as a circle within the film frame. Some circular fisheyes were available in orthographic projection models for scientific applications. These have a 180° vertical angle of view, and the horizontal and diagonal angle of view are also 180°. Most circular fisheye lenses cover a smaller image circle than rectilinear lenses, so the corners of the frame will be completely dark.

Full-frame fisheye

An example of full-frame fisheye used in a closed space (Nikkor 10.5mm)

As fisheye lenses gained popularity in general photography, camera companies began manufacturing fisheye lenses that enlarged the image circle to cover the entire rectangular frame, called a "full-frame fisheye".[7]

The picture angle produced by these lenses only measures 180 degrees when measured from corner to corner: these have a 180° diagonal angle of view, while the horizontal and vertical angles of view will be smaller; for an equisolid angle-type 15 mm full-frame fisheye, the horizontal FOV will be 147°, and the vertical FOV will be 94°.[8]

The first full-frame fisheye lens to be mass-produced was a 16 mm lens made by Nikon in the early 1970s. Digital cameras with APS-C sized sensors require a 10.5 mm lens (or, for Canon APS-C cameras, a 10 mm lens) to get the same effect as a 16 mm lens on a camera with full-frame sensor.[9]

Focal length

Sigma currently makes a 4.5mm fisheye lens that captures a 180-degree field of view on a crop body.[10] Sunex also makes a 5.6mm fisheye lens that captures a circular 185-degree field of view on a 1.5x Nikon and 1.6x Canon DSLR cameras.

Fisheye-Nikkor 6mm f/2.8 mounted on a Nikon F2 in the Nikon Museum.

Nikon produced a 6 mm circular fisheye lens that was initially designed for an expedition to Antarctica. It featured a 220-degree field of view, designed to capture the entire sky and surrounding ground when pointed straight up. This lens is no longer manufactured by Nikon,[11] and is used nowadays to produce interactive virtual-reality images such as QuickTime VR and IPIX. Because of its very wide field of view, it is very large and cumbersome—weighing 5.2 kilograms (11 lb), having a diameter of 236 millimetres (9.3 in), a length of 171 millimetres (6.7 in) and an angle of view of 220 degrees. It dwarfs a regular 35 mm SLR camera[12] and has its own tripod mounting point, a feature normally seen in large long-focus or telephoto lenses to reduce strain on the lens mount because the lens is heavier than the camera. The lens is extremely rare,[13] however, there a new developments by the Japanese manufacturer Entaniya for the Micro Four Thirds standard, which offer an angle of view of 250 degrees with lenses that have a focal length of 2.3 millimetres (0.091 in) to 3.6 millimetres (0.14 in), a lens speed of f/2.8 to f/4.0, a weight of 1.6 kilograms (3.5 lb), a diameter of 120 millimetres (4.7 in) and a length below 100 millimetres (3.9 in).[14]

An 8 mm fisheye lens, also made by Nikon, has proven useful for scientific purposes because of its equidistant (equiangular) projection, in which distance along the radius of the circular image is proportional to zenith angle.

The fastest commercially available fisheye lens with autofocus is the Olympus M.Zuiko Digital ED 8 mm f/1.8 Fisheye Pro for system cameras of the Micro Four Thirds system. In this camera system there are also fisheye lenses with a field

Fisheye lenses for APS-C cameras

Fisheye lenses for 35 mm cameras

Circular fisheye

A Peleng 8mm circular fisheye lens.

Full-frame fisheye

Zoom fisheye

Miniature fisheye lenses

Miniature digital cameras, especially when used as security cameras, often tend to have such lenses for similar reasons. Miniature fisheye lenses are designed for small-format CCD/CMOS imagers commonly used in consumer and security cameras.[16][17] Popular format sizes are 1/4" (active area 3.6mmx2.7mm), 1/3" (active area 4.8mmx3.6mm) and 1/2" (active area 6.6mmx4.8mm). Depending on the imager active area, the same lens can form a circular image on one imager (e.g. 1/2"), and a full frame on the other (e.g. 1/4").

Sample images

Other applications

The Curves of ESO’s Headquarters through a fish-eye lens.[18]

Mapping function

The mapping of a sideways object leads to a picture position displacement from the image center. The manner of this conversion is the mapping function. The distance of a point from the image center 'r' is dependent on the focal length of the optical system 'f', and the angle from the optical axis 'θ', where 'θ' is in radians.

Normal (non-fisheye) lens

Fisheye lens

Fisheye lenses can have many different mapping functions:[19]

With appropriate software, the curvilinear images produced by a fisheye lens can be remapped to a conventional rectilinear projection. Although this entails some loss of detail at the edges of the frame, the technique can produce an image with a field of view greater than that of a conventional rectilinear lens. This is particularly useful for creating panoramic images.

All types of fisheye lenses bend straight lines. Aperture angles of 180° or more are possible only with large amounts of barrel distortion.

See also


  1. Camera: a 35mm-format digital SLR, editing tool: Panorama Tools


  1. 1 2 Henry Horenstein (2005-04-20). Black and White Photography: A Basic Manual. p. 55. ISBN 9780316373050.
  2. 1 2 Rudolf Kingslake (1989-10-28). A history of the photographic lens. p. 145. ISBN 9780124086401.
  3. "Philosophical Magazine".
  4. David Brooks (1982). Lenses and lens accessories: a photographer's guide. p. 29. ISBN 9780930764340.
  5. Hill, R. 1924. A lens for whole sky photographs. Quarterly Journal of the Royal Meteorological Society 50:227-235.
  6. "The New Nikon Compendium".
  7. "The Magic of Digital Nature Photography".
  8. The formula is which comes from inverting the mapping function; Dyxum, Gustavo Orensztajn
  9. "Cameras from Nikon - DSLR and Digital Cameras, Lenses, & More".
  10. 4.5mm F2.8 EX DC Circular Fisheye HSM
  11. "Additional Information on Fisheye-Nikkor 6mm f/2.8 lens". Malaysian Internet Resources. Retrieved 2008-11-11.
  12. "Additional Information on Fisheye-Nikkor 6mm f/2.8 lens: Late 70s". Malaysian Internet Resources. Retrieved 2008-11-11.
  13. Laurent, Olivier Laurent (23 April 2012). "Rare extreme wide-angle Nikkor lens goes on sale". British Journal of Photography. Retrieved 24 April 2012.
  14. Entaniya Fisheye 250 MFT - Micro Four Thirds system lens - 250° Fisheye Lens,, retrieved on 15 November 2016
  15. "TheFishList - Pentax DA 10-17 -".
  16. 190 Degree FOV Miniature Fisheye Lens
  17. Miniature fisheye lenses
  18. "The Curves of ESO's Headquarters". ESO Picture of the Week. Retrieved 26 February 2014.
  19. "Samyang 8 mm f/3.5 Aspherical IF MC Fish-eye review - Introduction -".
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