Interactive Deconvolution with Error Analysis

K. Bouyoucef, D. Fraix-Burnet, and S. Roques

In the general framework of regularization of inverse problems, we define the main contours of the reconstruction algorithm IDEA (Interactive Deconvolution with Error Analysis) that is developed in our group, giving only some methodological principles. The deconvolution problem is stated in terms of weighted spectral interpolation: the amount and the nature of the interpolation to be performed is related --- in a quantitative manner --- to the choice of a synthetic coverage linked to the target resolution. We illustrate this deterministic viewpoint on the SN1987A image of HST and compare the result with two Bayesian approaches: the Richardson-Lucy Method (RLM) and the Maximum Entropy Method (MEM) in terms of gain in resolution, error propagation, speed of convergence, and some relevant astrophysical criteria.

Pages 64-71

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