On local tomography
- 1 June 1995
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 11 (3) , 571-589
- https://doi.org/10.1088/0266-5611/11/3/006
Abstract
In this paper we explain how the local tomography approach to tomographic problems can be extended to a wide range of situations including limited data problems, attenuated transforms, and generalized radon transforms. Numerical examples illustrate the use of local tomography applied to complete and limited data problems. Our analytic results are obtained through the use of microlocal analysis.Keywords
This publication has 17 references indexed in Scilit:
- An example of non-uniqueness for a generalized Radon transformJournal d'Analyse Mathématique, 1993
- Local TomographySIAM Journal on Applied Mathematics, 1992
- Microlocal techniques in integral geometryPublished by American Mathematical Society (AMS) ,1990
- Support theorems for real-analytic Radon transformsDuke Mathematical Journal, 1987
- Uniqueness for the attenuated x-ray transform in the physical rangeInverse Problems, 1986
- Cone Beam Reconstruction with Sources on a CurveSIAM Journal on Applied Mathematics, 1985
- The inversion problem and applications of the generalized radon transformCommunications on Pure and Applied Mathematics, 1984
- Some Problems in Integral Geometry and Some Related Problems in Micro-Local AnalysisAmerican Journal of Mathematics, 1979
- Fourier integral operators. IIActa Mathematica, 1972
- Fourier integral operators. IActa Mathematica, 1971