NDLI: A Regularized Visibility-Based Approach to Astronomical Imaging Spectroscopy

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A Regularized Visibility-Based Approach to Astronomical Imaging Spectroscopy

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Emslie, A. G. Hurford, G. J. Prato, M. Piana, M. Kontar, E. P. Massone, A. M.
Copyright Year	2009
Abstract	We develop a formal procedure for the analysis of imaging spectroscopy data, i.e., remote sensing observations of the structure of a radiation source as a function of an observed parameter (e.g., radiation wavelength, frequency, or energy) and two-dimensional location in the observation plane of the instrument used. In general, imaging spectroscopy involves inversions of both spatial and spectral information. Traditional approaches typically proceed by performing the spatial inversion first, and then applying spectral deconvolution algorithms on a pixel-by-pixel basis across the source to deduce the (line-of-sight-weighted) form of the source function (a function involving only physical properties of the source itself) at each location in the observation plane. However, in the special case where spatial information is encoded in the form of visibilities (two-dimensional spatial Fourier transforms of the source structure), it is advantageous, both conceptually and computationally, to reverse the order of the steps in this procedure. In such an alternative approach, the spectral inversion is performed first, yielding visibilities of the unknown source function, and then these source function visibilities are spatially transformed to yield in situ information on the source, as a function of both energy and position. We illustrate the power and fidelity of this method using simulated data and apply it to hard X-ray observations of a solar flare on April 15, 2002. We also discuss briefly its broader applicability.
Starting Page	910
Ending Page	930
Page Count	21
File Format	PDF
DOI	10.1137/090746355
e-ISSN	19364954
Journal	SIAM Journal on Imaging Sciences (SJISBI)
Issue Number	3
Volume Number	2
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2009-09-09
Access Restriction	Subscribed
Subject Keyword	Fourier transforms Computational methods Inverse problems Image processing spectroscopy X-rays astronomical imaging solar flares remote sensing visibilities spectral inversion
Content Type	Text
Resource Type	Article

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