29 December 1992 Fast image reconstruction based on the regularized pseudoinverse of the imaging operator
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Abstract
A new algorithm for the restoration of extended images, the Regularized Pseudoinverse Deconvolution (RAPID) algorithm, is proposed. The algorithm consists of expanding the regularized pseudoinverse of the imaging operator into a sequence of terms which can be easily implemented using Fourier processing techniques. The first term of the expansion is closely related to generalized Wiener filtering if the point spread function is shift-invariant. The other terms in the expansion are correction terms which are small when the point spread function is shift-invariant, as is the case with many imaging systems. Even when the point spread function of the imaging system is space-variant, such as with a partially obscured imaging system or a system with severe aberrations, the correction terms are both few in number and easily implemented.
© (1992) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
John B. Abbiss, Jeffrey Allen, Richard P. Bocker, Harper J. Whitehouse, "Fast image reconstruction based on the regularized pseudoinverse of the imaging operator", Proc. SPIE 1767, Inverse Problems in Scattering and Imaging, (29 December 1992); doi: 10.1117/12.139006; https://doi.org/10.1117/12.139006
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