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Filter design in three-dimensional cone beam tomography: circular scanning geometry

Alfred K Louis

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The aim of this paper is to present a general approach to derive inversion formulae for 3D cone beam tomography. Starting from the approximate inverse we derive reconstruction kernels using the symmetries of the scanning geometry to derive fast algorithms. Reconstructions from real data show the ability of the method to produce reliable images where the data noise is reduced as much as possible.


PACS

02.30.Zz Inverse problems

07.85.Fv X- and gamma-ray sources, mirrors, gratings, and detectors

02.30.Uu Integral transforms

MSC

44A12 Radon transform (See also 92C55)

65R10 Integral transforms

65R32 Inverse problems

Subjects

Mathematical physics

Instrumentation and measurement

Dates

Issue 6 (December 2003)

Received 1 July 2003, in final form 21 October 2003

Published 12 November 2003



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