Image deblurring by a deconvolution method requires accurate knowledge of the blur kernel. Existing point spread function (PSF) models in the literature corresponding to lens aberrations and defocus are either parameterized and spatially invariant or spatially varying but discretely defined. In this paper, a parameterized model is developed and presented for a PSF which is spatially varying due to lens aberrations and defocus in an imaging system. The model is established from the Seidel third-order aberration coefficient and the Hu moment. A skew normal Gauss model is selected for parameterized PSF geometry structure. The accuracy of the model is demonstrated with simulations and measurements for a defocused infrared camera and a single spherical lens digital camera. Compared with optical software Code V, the visual results of two optical systems validate our analysis and proposed method in size, shape and direction. Quantitative evaluation results reveal the excellent accuracy of the blur kernel model.

A new compact conformal dome optical system was designed, and the aberration characteristics of the dome were investigated using Zernike aberration theory. The aberrations induced by the conformal dome at different fields of regard (FORs) from 0 • to 90 • were effectively balanced by a pair of rotating cylindrical lenses. A design method was introduced and the optimization results were analyzed in detail. The results showed that the Zernike aberrations produced by the conformal dome were decreased dramatically. Also, a complete conformal optical system was designed to further illustrate the aberration correction effect of the rotating cylindrical lenses. Using a pair of rotating cylindrical lenses not only provided an ultra-wide FOR, but also perduced a better image quality of the optical system.

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