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|Title:||Stability and locality of amplitude and phase contrast tomographics||Contributor(s):||Gureyev, Timur (author) ; Myers, Glenn R (author); Nesterets, Yakov (author); Paganin, David M (author); Pavlov, Konstantin M (author) ; 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||Statistics to Oct 2018:||Visitors: 278
|Appears in Collections:||Conference Publication|
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