Stability and locality of amplitude and phase contrast tomographics

Title
Stability and locality of amplitude and phase contrast tomographics
Publication Date
2006
Author(s)
Gureyev, Timur
( author )
OrcID: https://orcid.org/0000-0002-1103-0649
Email: tgureyev@une.edu.au
UNE Id une-id:tgureyev
Myers, Glenn R
Nesterets, Yakov
Paganin, David M
Pavlov, Konstantin M
( author )
OrcID: https://orcid.org/0000-0002-1756-4406
Email: kpavlov@une.edu.au
UNE Id une-id:kpavlov
Wilkins, Stephen
Editor
Editor(s): Ulrich Bonse
Type of document
Conference Publication
Language
en
Entity Type
Publication
Publisher
International Society for Optical Engineering (SPIE)
Place of publication
Bellingham, United States of America
UNE publication id
une:3116
Abstract
We perform a theoretical analysis of the mathematical stability and locality of several modes of amplitude and phase contrast computed tomography (CT) suitable for reconstruction of the 3D distribution of complex refractive index in samples displaying weak absorption contrast. We present a general formalism for CT reconstruction in linear shift-invariant optical systems. Examples of such systems include propagation-based and analyser-based CT. We obtain general formulae for CT reconstruction from analyser-based projection data. We also propose a new tomographic algorithm for the reconstruction of the 3D distribution of complex refractive index in a sample from a single propagation-based projection image per view angle, where the images display both absorption and phase contrast. The method assumes that the real and imaginary parts of the refractive index are proportional to each other. Using singular-value decompositions of the relevant operators we show that, in contrast to conventional amplitude-contrast CT, phase-contrast (diffraction) tomography is mathematically well-posed. The presented results are pertinent to biomedical imaging and non-destructive testing of samples exhibiting weak absorption contrast.
Link
Citation
Developments in X-ray tomography V, p. 1-15
ISSN
1605-7422
ISBN
9780819463975
Start page
1
End page
15

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