A Bayesian derivation of an iterative autofocus/super-resolution algorithm

Citation

Luttrell S P, 1990, A Bayesian derivation of an iterative autofocus/super-resolution algorithm, Inverse Problems, vol. 6, no.6, pp. 975-996

Abstract

We derive an estimate-maximise formulation of a Bayesian super-resolution algorithm for reconstructing scattering cross sections from coherent images. We generalise this result to obtain an 'autofocus/super-resolution' method, which simultaneously autofocuses an imaging system and super-resolves its image data. We present an explanatory numerical example to illustrate the implementation of our method on images of single and double point targets that are defocused by O(depth of focus). These are successfully super-resolved by autofocus/super-resolution, but not by pure super-resolution. We conjecture that autofocus/super-resolution might usefully be applied to the interpretation of airborne synthetic aperture radar images that are subject to defocusing effects.

Links

  • Remastered paper in Mathematica
  • Reproduction of results using Mathematica