Title

Singular value decomposition for the truncated Hilbert transform: part II

Authors

Authors

A. Katsevich

Comments

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Abbreviated Journal Title

Inverse Probl.

Keywords

IMAGE-RECONSTRUCTION; Mathematics, Applied; Physics, Mathematical

Abstract

Hilbert transform is a very important tool in computed tomography. Image reconstruction from truncated tomographic data can be reduced to the problem of inverting the Hilbert transform (H(14)phi)(y) := 1/pi integral(a4)(a1) phi(x)/x-y dx = psi(y) knowing psi on the interval [a(2), a(3)], where a(1) < a(2) < a(3) < a(4). In this paper, we obtain a singular value decomposition for the operator H(14).

Journal Title

Inverse Problems

Volume

27

Issue/Number

7

Publication Date

1-1-2011

Document Type

Article

DOI Link

http://dx.doi.org/10.1088/0266-5611/27/7/075006

Language

English

First Page

7

WOS Identifier

WOS:000291794200006

ISSN

0266-5611

Recommended Citation

"Singular value decomposition for the truncated Hilbert transform: part II" (2011). Faculty Bibliography 2010s. 1464.
https://stars.library.ucf.edu/facultybib2010/1464