Diffuse/Multi-Object Spectral Imaging of the Interstellar Medium Using Tomographic Inversion of Ultraviolet Sources

Computer Science – Performance

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Scientific paper

We present a novel concept for spectral imaging suitable for the study of the interstellar medium at ultraviolet wavelengths. The technique is capable of performing simultaneous multi-object spectroscopy on point sources and imaging spectroscopy of faint diffuse sources. Unlike conventional specral imaging techniques, our method encodes three dimensions of data (RA, DEC, wavelength) into a two-dimensional signal, using an optical system where photons from the entire scence are collected at all times. Inversion of this data back into the three-dimensional space is accomplished by formulating a tomographic reconstruction problem. Intrinsic presence of noise, however, poses difficulties on conventional inversion methods such as the filtered back-projection (FBP) or the minimum-norm least square methods such that they often produce unacceptable results. This limitation is overcome by incorporating sophisticated regularization schemes. We investigate issues concerning the required inversion, and develop a suitable approach to image reconstruction using stochastic regularization by minimizing appropriate L_1 and L_2-norm functionals. We demonstrate the performance of our technique quantitatively in comparison with conventional spectral imaging techniques.

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