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Available in print format 		Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Singularities of the Radon transform

Author(s): A. G. Ramm; A. I. Zaslavsky
Journal: Bull. Amer. Math. Soc. 28 (1993), 109-115.
MathSciNet review: 1168516
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Abstract | References | Additional information

Abstract: Singularities of the Radon transform of a piecewise smooth function $ f(x)$, $ x \in {R^n}$, $ n \geq 2$, are calculated. If the singularities of the Radon transform are known, then the equations of the surfaces of discontinuity of $ f(x)$ are calculated by applying the Legendre transform to the functions, which appear in the equations of the discontinuity surfaces of the Radon transform of $ f(x)$; examples are given. Numerical aspects of the problem of finding discontinuities of $ f(x)$, given the discontinuities of its Radon transform, are discussed.

References:

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Additional Information:

DOI: 10.1090/S0273-0979-1993-00350-1
PII: S 0273-0979(1993)00350-1
Copyright of article: Copyright 1993, American Mathematical Society




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