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Title: Phase retrieval using coherent imaging systems with linear transfer functions
Contributor(s): Paganin, David (author); Gureyev, Timur  (author)orcid ; Pavlov, Konstantin M  (author)orcid ; Lewis, R A (author); Kitchen, M J (author)
Publication Date: 2004
DOI: 10.1016/j.optcom.2004.02.015
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Abstract: We consider the problem of quantitative phase retrieval from images obtained using a coherent shift-invariant linear imaging system whose associated transfer function (i.e., the Fourier transform of the complex point-spread function) is well approximated by a linear function of spatial frequency. This linear approximation to the transfer function is applicable when the spread of spatial frequencies, in a two-dimensional complex wavefield, is sufficiently narrow when compared to the characteristic length of variation of the transfer function for an imaging system taking such a wavefield as input. We give several algorithms for reconstructing both the phase and amplitude of a given two-dimensional coherent wavefield, given as input data one or more images of such a wavefield which may be formed by different states of the imaging system. When an object to be imaged consists of a single material, or of a single material embedded in a substrate of constant thickness, the phase-amplitude reconstruction can be performed using a single image (DEI) to obtain a quantitative reconstruction of the projected thickness of a single-material sample which is embedded within a substrate of approximately constant thickness. This algorithm is used to quantitatively map inclusions in a breast phantom, from a single synchrotron DEI image of the same. In particular, the reconstructed images quantitatively represent the projected thickness in the bulk of the sample, in contrast to raw DEI images which greatly emphasise sharp edges (high spatial frequencies). Lastly, we point out that the methods presented here are also applicable to the quantitative analysis of differential interference contrast (DIC) images, obtained using both visible-light and X-ray microscopy.
Publication Type: Journal Article
Source of Publication: Optics Communications, 234(1-6), p. 87-105
Publisher: Elsevier BV
Place of Publication: Amsterdam, The Netherlands
ISSN: 0030-4018
Field of Research (FOR): 110320 Radiology and Organ Imaging
020504 Photonics, Optoelectronics and Optical Communications
Socio-Economic Outcome Codes: 861503 Scientific Instruments
861502 Medical Instruments
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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