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Proceedings Paper

Stability and locality of amplitude and phase contrast tomographies
Author(s): Timur E. Gureyev; Glenn R. Myers; Yakov I. Nesterets; David M. Paganin; Konstantin M. Pavlov; Stephen W. Wilkins
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Paper 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.

Paper Details

Date Published: 7 September 2006
PDF: 15 pages
Proc. SPIE 6318, Developments in X-Ray Tomography V, 63180V (7 September 2006); doi: 10.1117/12.680185
Show Author Affiliations
Timur E. Gureyev, CSIRO Manufacturing and Infrastructure Technology (Australia)
Glenn R. Myers, Monash Univ. (Australia)
Yakov I. Nesterets, CSIRO Manufacturing and Infrastructure Technology (Australia)
David M. Paganin, Monash Univ. (Australia)
Konstantin M. Pavlov, Monash Univ. (Australia)
Stephen W. Wilkins, CSIRO Manufacturing and Infrastructure Technology (Australia)


Published in SPIE Proceedings Vol. 6318:
Developments in X-Ray Tomography V
Ulrich Bonse, Editor(s)

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