Statistics – Computation
Scientific paper
Aug 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...262..359t&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 262, no. 1, p. 359-368.
Statistics
Computation
11
Computational Astrophysics, Inverse Scattering, Astronomical Models, Data Smoothing, Linear Equations
Scientific paper
We focus attention on automated methods for selecting the optimum degree of smoothing. We clarify the theoretical basis of several automated methods, and within the context of a 2D image reconstruction problem, provide a guide to their practical application. The performance of each method is analyzed by measuring the quality of the image recovery and the sensitivity of the inversion to the noise. We highlight the confusion surrounding the method of Turchin (1967) and show that Craig & Brown's (1986) interpretation of Turchin's strategy leads to a different choice of smoothing parameter. We demonstrate, however, that near optimum results can be obtained using either method. In fact, we show that near optimal results can be obtained using either method for the typical case of 2D image reconstruction. We demonstrate that this conclusion also holds good in a wider astrophysical context by considering the 1D inverse problem of obtaining the electron source energy distribution in a solar flare from the observed X-ray bremsstrahlung spectrum.
Craig Donald I. Jr.
Thompson Maggie A.
No associations
LandOfFree
Automatic strategies for astrophysical inverse problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Automatic strategies for astrophysical inverse problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Automatic strategies for astrophysical inverse problems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1164458