FINDING DISCONTINUITIES FROM TOMOGRAPHIC DATA

Authors
RAMM AG
Citation
Ag. Ramm, FINDING DISCONTINUITIES FROM TOMOGRAPHIC DATA, Proceedings of the American Mathematical Society, 123(8), 1995, pp. 2499-2505
Citations number
22
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
8
Year of publication
1995
Pages
2499 - 2505
Database
ISI
SICI code
0002-9939(1995)123:8<2499:FDFTD>2.0.ZU;2-A
Abstract
A method for derivation of inversion formulas for the Radon transform of f(x) is given. This method allows one to construct functions psi(x) which are easy to compute and which have the same wave fronts as f(x) . This, in turn, allows one to calculate the singular support S of f(x ) by computing psi(x) given tomographic data. A simple geometrical rel ation between the singular supports of f and (f) over cap, its Radon t ransform, is formulated (the duality law).