Next: Introduction
Interactive Deconvolution with Error Analysis
K. Bouyoucef, D. Fraix-Burnet, and S. Roques
Laboratoire d'Astrophysique, CNRS URA 285/GdR 134,
Université Toulouse III, 14 Avenue Edouard Belin, 31400 Toulouse, France
Abstract:
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.
Keywords:
inverse problems, deconvolution, supernova SN1987A