Parameterized Modeling of Spatially Varying PSF for Lens Aberration and Defocus

Abstract

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.

Calibration Method for the Panel-type Multi-view Display

“…However the proposed alignment pattern is still valid with the local non-uniformities, because some fluctuations cannot change the number of observed intended subpixels significantly. If the error is big enough to change the viewpoints or viewing distance, other correction methods should accompany [30][31][32]. In that case, the proposed alignment pattern is compatible with other correction methods.…”

Linear Revolution-Invariance: Modeling and Deblurring Spatially-Varying Imaging Systems

“…The use of rotational symmetry and polar transformations for deblurring arises in modeling motion blur [26,27], suppressing radial variance [28], and segmenting the FoV into shift-invariant radial segments [29][30][31][32]. Additionally, ray models have been developed using Seidel coefficients [33]. Many of these works are beating around the bush of LRI, although none rigorously define it or develop algorithms with accompanying theoretical analysis.…”