Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/3035
Title: Stability and locality of amplitude and phase contrast tomographics
Contributor(s): Gureyev, Timur  (author)orcid ; Myers, Glenn R (author); Nesterets, Yakov  (author); Paganin, David M (author); Pavlov, Konstantin M  (author)orcid ; Wilkins, Stephen (author)
Publication Date: 2006
Handle Link: https://hdl.handle.net/1959.11/3035
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.
Publication Type: Conference Publication
Conference Name: SPIE Optics and Photonics, San Diego, United States of America, 15th - 17th August, 2006
Conference Details: SPIE Optics and Photonics, San Diego, United States of America, 15th - 17th August, 2006
Source of Publication: Developments in X-ray tomography V, p. 1-15
Publisher: SPIE: International Society for Optical Engineering
Place of Publication: Bellingham, United STates of America
ISSN: 1605-7422
Field of Research (FOR): 020599 Optical Physics not elsewhere classified
Peer Reviewed: Yes
HERDC Category Description: E1 Refereed Scholarly Conference Publication
Other Links: http://nla.gov.au/anbd.bib-an42712231
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