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Analysis of the compatibility conditions for the radon projections, with an application to seismology

✍ Scribed by Dino Bindi; Andrea Caponnetto

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 92 KB
Volume: 12
Category: Article
ISSN: 0899-9457
DOI: 10.1002/ima.10018

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✦ Synopsis

Abstract

In the context of the Radon approach to tomographic imaging, we face the problem of ascertaining whether or not a set of functions can be considered a set of reliable projections of an unknown function. We first review some results about the singular system of the Radon operator. Then, we define a set of parameters that allows us to evaluate the degree of compatibility of a set of projections. We apply our analysis to the seismic source imaging problem. In particular, we show that the compatibility conditions can be used for the empirical Green function retrieval. © 2002 Wiley Periodicals, Inc. Int J Imaging Syst Technol 12, 112–116, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ima.10018

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