Premium
Analysis of the compatibility conditions for the radon projections, with an application to seismology
Author(s) -
Bindi Dino,
Caponnetto Andrea
Publication year - 2002
Publication title -
international journal of imaging systems and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.359
H-Index - 47
eISSN - 1098-1098
pISSN - 0899-9457
DOI - 10.1002/ima.10018
Subject(s) - radon , compatibility (geochemistry) , computer science , tomographic reconstruction , geology , artificial intelligence , iterative reconstruction , physics , geochemistry , quantum mechanics
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