Title

Singular Value Decomposition For The Truncated Hilbert Transform: Part Ii

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 (H14φ)(y) := 1/π ∫a4a1 φ(x)/x-y dx = ψ(y) knowing ψ on the interval [a2, a3], where a1 < a2 < a3 < a4. In this paper, we obtain a singular value decomposition for the operator H14. © 2011 IOP Publishing Ltd.

Publication Date

7-1-2011

Publication Title

Inverse Problems

Volume

27

Issue

7

Number of Pages

-

Document Type

Article

Personal Identifier

scopus

DOI Link

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

Socpus ID

79959731760 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/79959731760

This document is currently not available here.

Share

COinS