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Free-form lens design for wide-angle imaging with an equidistance projection scheme
Authors:Bo Yang  Jukka Tapani Mäkinen  Guofan Jin
Institution:a Tsinghua-Foxconn Nanotechnology Research Center, Tsinghua University, Beijing 100084, China
b Vtt Technical Research Centre of Finland, Kaitoväylä 1, Oulu 90570, Finland
c Department of Optoelectronic Engineering, Beijing Institute of Technology,Beijing 100081, China
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
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