2002
DOI: 10.1046/j.1365-2818.2002.01010.x
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Simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object

Abstract: Summary We demonstrate simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object. Subject to the assumptions explicitly stated in the derivation, the algorithm solves the twin‐image problem of in‐line holography and is capable of analysing data obtained using X‐ray microscopy, electron microscopy, neutron microscopy or visible‐light microscopy, especially as they relate to defocus and point projection methods. Our simple, robust, non‐iterative and computationally efficie… Show more

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Cited by 1,738 publications
(1,481 citation statements)
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References 38 publications
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“…The reconstruction of the 3D volume was carried out first using a single-distance phase retrieval algorithm on the projections (after flat-and dark-field corrections), using the Paganin et al (2002) algorithm implemented in the ANKAphase software (Weitkamp et al, 2011). This procedure can be applied to data collected in the near-field region (in our measurement the sample-to-detector distance was ∼5 mm) using spatially coherent XR, such as the ones from synchrotron light sources.…”
Section: Sans/usansmentioning
confidence: 99%
“…The reconstruction of the 3D volume was carried out first using a single-distance phase retrieval algorithm on the projections (after flat-and dark-field corrections), using the Paganin et al (2002) algorithm implemented in the ANKAphase software (Weitkamp et al, 2011). This procedure can be applied to data collected in the near-field region (in our measurement the sample-to-detector distance was ∼5 mm) using spatially coherent XR, such as the ones from synchrotron light sources.…”
Section: Sans/usansmentioning
confidence: 99%
“…Therefore, the phase modulation information can be used to reconstruct the 3D structure in yielding much higher contrast than the amplitude modulation. This is called X-ray phase-contrast imaging technique [5,6] and the phase information is typically accomplished through the phase-retrieval algorithm [7,8].…”
Section: Tomography Reconstructionmentioning
confidence: 99%
“…In this paper, we use a phase retrieval approach 17,27 that has been adapted for use with a polychromatic source 18 …”
Section: A Phase Retrieval Algorithmmentioning
confidence: 99%
“…Propagation-based methods developed include those suitable for the inversion of data measured in the near Fresnel regime, 12 the intermediate Fresnel regime 13,14 and, more recently, in the far field. 15,16 Methods that use an assumption of sample homogeneity 17 and methods that incorporate polychromaticity in the source have also been developed. 18 In phase retrieval (PR) tomography, the projected intensity data in each angular position may be subjected to phase retrieval, which in turn may be reconstructed to obtain the three dimensional distribution of the sample phase.…”
Section: Introductionmentioning
confidence: 99%