Fast image reconstruction based on the regularized pseudoinverse of the imaging operator

John B. Abbiss; Jeffrey Allen; Richard P. Bocker; Harper J. Whitehouse

doi:10.1117/12.139006

29 December 1992 Fast image reconstruction based on the regularized pseudoinverse of the imaging operator

John B. Abbiss, Jeffrey Allen, Richard P. Bocker, Harper J. Whitehouse

Proceedings Volume 1767, Inverse Problems in Scattering and Imaging; (1992) https://doi.org/10.1117/12.139006
Event: San Diego '92, 1992, San Diego, CA, United States

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.

Citation Download Citation

John B. Abbiss, Jeffrey Allen, Richard P. Bocker, and 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); https://doi.org/10.1117/12.139006

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