Image restoration using nonlinear optimization techniques for partially compensated imaging systems

Richard A. Carreras; Michael C. Roggemann

doi:10.1117/12.139044

29 December 1992 Image restoration using nonlinear optimization techniques for partially compensated imaging systems

Richard A. Carreras, Michael C. Roggemann

Proceedings Volume 1767, Inverse Problems in Scattering and Imaging; (1992) https://doi.org/10.1117/12.139044
Event: San Diego '92, 1992, San Diego, CA, United States

Abstract

This paper shows the development of the imaging restoration problem entirely in the frequency domain, then solves for the analytical solution. The analytical solution is found to be ill-posed, thus, a good approach for the solution is via nonlinear optimization. The image recovery problem is thus formulated in the context of nonlinear optimization using Fourier data. Several examples are shown using unconstrained optimization techniques with the incorporation of the conjugate gradient algorithm. These examples basically are the inverse filter solutions. Three main diagnostic metrics are shown and discussed as possible candidates for evaluation of the results.

Citation Download Citation

Richard A. Carreras and Michael C. Roggemann "Image restoration using nonlinear optimization techniques for partially compensated imaging systems", Proc. SPIE 1767, Inverse Problems in Scattering and Imaging, (29 December 1992); https://doi.org/10.1117/12.139044

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