Title

On quasi-local inversion of spiral CT data

Authors

Authors

A. Katsevich

Abbreviated Journal Title

Math. Meth. Appl. Sci.

Keywords

CONE-BEAM RECONSTRUCTION; X-RAY TRANSFORM; TOMOGRAPHY; ALGORITHM; BACKPROJECTION; Mathematics, Applied

Abstract

Let f be a function supported in an open set U, which is located strictly inside the spiral trajectory C of the X-ray source. Proposed is an algorithm for computing a function f(0) which retains all the sharp features off: More precisely, if f epsilon H-0(a)(U), then f - f(0) epsilon H-loc(a + 1)(U). The algorithm is quasi-local in the sense that for each reconstruction point x one uses the cone beam data corresponding to X-ray sources y epsilon C located close to x. The detector array is two-dimensional, but of limited extent along the axis of the spiral. Stability of the algorithm is studied and results of numerical testing on the simulated data are presented. Copyright (C) 2000 John Wiley & Sons, Ltd.

Journal Title

Mathematical Methods in the Applied Sciences

Volume

23

Issue/Number

3

Publication Date

1-1-2000

Document Type

Article

Language

English

First Page

271

Last Page

297

WOS Identifier

WOS:000085080600004

ISSN

0170-4214

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