This paper proposes a method of designing two aspheric surfaces simultaneously for an imaging system. By coupling the three rays (two marginal rays and one chief ray from the exit pupil) of each field of view to their corresponding image point, microspherical lens corresponding to each field of view can be obtained by the refraction law. Profiles of the aspheric surfaces can be obtained by employing the position and normal vector of midpoint of the microsphere corresponding to each field of view. Theoretically, through this method, we can realize any mapping relationship between the object points and their image points in 2D. Combining an original projector with the aspheric lens designed in this paper, an example that realizes projection onto a spherical surface with both low distortion and high image quality is presented.
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