SecurityWorldMarket

11/03/2024

Rectilinear lenses correct distortion optically

Wilsonville, Or (USA)

Rectilinear wide angle lens versus barrel distortion wide angle lens Image courtesy of Theia

According to Mark Peterson, VP Advanced Technology at Theia Technologies, fisheye lenses create a curved and distorted image and causes loss of resolution at the image edges.  Here he explains how Theia's newly developed, patented Linear Optcal Technology and rectilinear lens, can offer wide angle coverage without the barrel distortion or loss of edge resolution experienced with traditional fisheye lenses.

Today’s megapixel cameras have many advantages as long as you have the right lens for the job. When that includes covering large areas or reducing cost by installing fewer cameras, that lens is a wide angle lens. Until recently only fisheye lenses were available for an ultra wide field of view.

The real world is full of three dimensional people and objects. Creating a representation of this world on a two dimensional plane in a camera creates some optical effects, especially when viewed through a wide angle lens.

When designing wide angle lenses, according to Peterson, there are two approaches:

  • Equal angular slices– each pixel receives an equal angle leading to barrel distortion in the image
  • Equal planar distances– each pixel images an equal distance in a plane, this is a rectilinear lens

The two families of wide angle lenses create very different views of the world as illustrated above.

Theia-rectilinear-vs-typical-wide-angle

Most wide angle lenses including fisheye lenses have barrel distortion which comes from imaging equal angular slices of the world onto the sensor. A close kin, similar in application but different design, is to image equal planar distances in the real world onto the image sensor using a rectilinear lens. Until recently, rectilinear lenses were not available for wide angle applications. Theia Technologies has worked to develop this type of lens.

Rectilinear lenses keep straight lines in the real world straight on the image sensor. This creates an effect called 3D stretching or lean-over in which objects at the image edge seem to be stretched because they are being “flattened” onto a plane along the tangent angle from the lens. The wider the field of view (for rectilinear lenses), the more noticeable this effect. There is an additional benefit in increased resolution at the edges of the image because of 3D stretching.

The distortion effect can be eliminated with software (creating a rectilinear lens image) but at a cost in time or processing power. Objects at the edges of the image are compressed and detail information is lost. The information was already lost travelling through the lens and Peterson says that no amount of software (contrary to Hollywood’s view of video surveillance) will be able to recapture the information.

Applications for wide angle lenses

Wide angle lenses are not a panacea but there are many applications that benefit from their use. For applications requiring large areas of coverage, an ultra wide angle lens on a megapixel camera is a cost saving opportunity that should be considered. Wide angle lenses can:

  • reduce the number of cameras required to cover an area, reducing cost of installation, maintenance and monitoring,
  • be used in place of a PTZ camera when post-incident PTZ is desired,
  • effectively monitor large areas like parking lots, schools, and construction sites and
  • be used in close-up applications such as ATMs, card-locked garage entries, and multi-door entryways where both high image detail and wide fields of view are required.

Conclusion

Peterson draws the following conclusions on the subject. "Megapixel cameras need high performance wide angle lenses that can display high resolution images of large areas. Fisheye lenses create barrel-distorted curved images requiring software image correction whereas rectilinear lenses correct distortion optically in the lens, an elegant and efficient solution."


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