Free-form lens design for wide-angle imaging with an equidistance projection scheme

Bo Yang; Jukka-Tapani Mäkinen; Mika Aikio; Guofan Jin; Yongtian Wang

doi:10.1016/j.ijleo.2007.05.008

Free-form lens design for wide-angle imaging with an equidistance projection scheme

Bo Yang (Corresponding Author), Jukka-Tapani Mäkinen, Mika Aikio, Guofan Jin, Yongtian Wang

Research output: Contribution to journal › Article › Scientific › peer-review

13 Citations (Scopus)

Abstract

An algorithm of free-form lens design is presented that can realize wide-angle imaging in conjunction with conventional imaging devices. The wide-angle image obtained through the free-form lens and the camera is not affected by distortions. The formula for the free-form lens surfaces is derived. The surface profile of the free-form lens can be generated through solving a differential equation expressing the camera-viewing angle as a function of the angle of incidence on the free-form lens surface. The surfaces preserve a linear relationship between the angle of incidence of light onto the surface and the angle of refraction into the imaging device.

Original language	English
Pages (from-to)	74-78
Number of pages	5
Journal	Optik
Volume	120
Issue number	2
DOIs	https://doi.org/10.1016/j.ijleo.2007.05.008
Publication status	Published - 2009
MoE publication type	A1 Journal article-refereed

Keywords

Free-form lens
Panoramic lens
Equidistance projection scheme
Optical design

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10.1016/j.ijleo.2007.05.008

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title = "Free-form lens design for wide-angle imaging with an equidistance projection scheme",

abstract = "An algorithm of free-form lens design is presented that can realize wide-angle imaging in conjunction with conventional imaging devices. The wide-angle image obtained through the free-form lens and the camera is not affected by distortions. The formula for the free-form lens surfaces is derived. The surface profile of the free-form lens can be generated through solving a differential equation expressing the camera-viewing angle as a function of the angle of incidence on the free-form lens surface. The surfaces preserve a linear relationship between the angle of incidence of light onto the surface and the angle of refraction into the imaging device.",

keywords = "Free-form lens, Panoramic lens, Equidistance projection scheme, Optical design",

author = "Bo Yang and Jukka-Tapani M{\"a}kinen and Mika Aikio and Guofan Jin and Yongtian Wang",

year = "2009",

doi = "10.1016/j.ijleo.2007.05.008",

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pages = "74--78",

journal = "Optik",

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T1 - Free-form lens design for wide-angle imaging with an equidistance projection scheme

AU - Yang, Bo

AU - Mäkinen, Jukka-Tapani

AU - Aikio, Mika

AU - Jin, Guofan

AU - Wang, Yongtian

PY - 2009

Y1 - 2009

N2 - An algorithm of free-form lens design is presented that can realize wide-angle imaging in conjunction with conventional imaging devices. The wide-angle image obtained through the free-form lens and the camera is not affected by distortions. The formula for the free-form lens surfaces is derived. The surface profile of the free-form lens can be generated through solving a differential equation expressing the camera-viewing angle as a function of the angle of incidence on the free-form lens surface. The surfaces preserve a linear relationship between the angle of incidence of light onto the surface and the angle of refraction into the imaging device.

AB - An algorithm of free-form lens design is presented that can realize wide-angle imaging in conjunction with conventional imaging devices. The wide-angle image obtained through the free-form lens and the camera is not affected by distortions. The formula for the free-form lens surfaces is derived. The surface profile of the free-form lens can be generated through solving a differential equation expressing the camera-viewing angle as a function of the angle of incidence on the free-form lens surface. The surfaces preserve a linear relationship between the angle of incidence of light onto the surface and the angle of refraction into the imaging device.

KW - Free-form lens

KW - Panoramic lens

KW - Equidistance projection scheme

KW - Optical design

U2 - 10.1016/j.ijleo.2007.05.008

DO - 10.1016/j.ijleo.2007.05.008

M3 - Article

SN - 0030-4026

VL - 120

SP - 74

EP - 78

JO - Optik

JF - Optik

IS - 2

ER -

Free-form lens design for wide-angle imaging with an equidistance projection scheme

Abstract

Keywords

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