Title

An Accurate Approximate Algorithm For Motion Compensation In Two-Dimensional Tomography

Abstract

In this paper, we propose two approximate inversion formulae for motion compensation in tomography: for parallel beam and fan beam geometries. Let E denote the operator, which corresponds to the error term of an inversion formula. It is proven that in both cases E: Hm0 → Hm+10 is bounded; thus, the error term is one order smoother than the original function f in the scale of Sobolev spaces. It is also proven that in both cases if themotionmap approaches the identity map, then the norm of E approaches zero. The formulae can be easily implemented numerically. Results of numerical experiments in the fanbeam case (which is more common in applications) demonstrate good image quality even when motion is relatively strong. © 2010 IOP Publishing Ltd.

Publication Date

7-2-2010

Publication Title

Inverse Problems

Volume

26

Issue

6

Number of Pages

-

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1088/0266-5611/26/6/065007

Socpus ID

77954059627 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/77954059627

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