Priors for X-ray in-line phase tomography of heterogeneous objects

Langer, Max; Cloetens, Peter; Hesse, Bernhard; Suhonen, Heikki; Pacureanu, Alexandra; Raum, Kay; Peyrin, Françoise

doi:10.1098/rsta.2013.0129

Cited by 26 publications

(37 citation statements)

References 20 publications

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“…An alternative approach is the direct comparison of synchrotron attenuation and refractive index values. The latter can be reconstructed by the recently developed phase contrast tomography (59,60). Such comparison should be addressed in future studies.…”

Section: Limitations Of the Studymentioning

confidence: 98%

Distribution of mesoscale elastic properties and mass density in the human femoral shaft

Rohrbach

Grimal

Варга

et al. 2015

Connective Tissue Research

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Cortical bone properties are determined by tissue composition and structure at several hierarchical length scales. In this study, the spatial distribution of micro- and mesoscale elastic properties within a human femoral shaft has been investigated. Microscale tissue degree of mineralization (DMB), cortical vascular porosity Ct.Po and the average transverse isotropic stiffness tensor C(Micro) of cylindrical-shaped samples (diameter: 4.4 mm, N = 56) were obtained from cortical regions between 20 and 85% of the total femur length and around the periphery (anterior, medial, posterior and lateral quadrants) by means of synchrotron radiation µCT (SRµCT) and 50-MHz scanning acoustic microscopy (SAM). Within each cylinder, the volumetric bone mineral density (vBMD) and the mesoscale stiffness tensor C(Meso) were derived using a numerical homogenization approach. Moreover, microelastic maps of the axial elastic coefficient c33 measured by SAM at distinct cross-sectional locations along the femur were used to construct a 3-D multiscale elastic model of the femoral shaft. Variations of vBMD (6.1%) were much lower than the variations of mesoscale elastic coefficients (11.1-21.3%). The variation of DMB was only a minor predictor for variations of the mesoscale elastic properties (0.05 ≤ R(2) ≤ 0.34). Instead, variations of the mesoscale elastic properties could be explained by variations of cortical porosity and microscale elastic properties. These data were suitable inputs for numerical evaluations and may help to unravel the relations between structure and composition on the elastic function in cortical bone.

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Section: Limitations Of the Studymentioning

confidence: 98%

Distribution of mesoscale elastic properties and mass density in the human femoral shaft

Rohrbach

Grimal

Варга

et al. 2015

Connective Tissue Research

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“…Object homogeneity has also been used in the CTF‐based methods, but rather introduced as an a priori on the low spatial frequencies of the phase (Langer et al ., ). This approach has been extended to multimaterial (Langer et al ., ,b) and heterogeneous objects (Langer et al ., ) under the assumption that the sample composition is roughly known.…”

Section: Introductionmentioning

confidence: 99%

Registration of phase‐contrast images in propagation‐based X‐ray phase tomography

Weber

Hänsch

Wolfram

et al. 2017

Journal of Microscopy

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SummaryX-ray phase tomography aims at reconstructing the 3D electron density distribution of an object. It offers enhanced sensitivity compared to attenuation-based X-ray absorption tomography. In propagation-based methods, phase contrast is achieved by letting the beam propagate after interaction with the object. The phase shift is then retrieved at each projection angle, and subsequently used in tomographic reconstruction to obtain the refractive index decrement distribution, which is proportional to the electron density. Accurate phase retrieval is achieved by combining images at different propagation distances. For reconstructions of good quality, the phase-contrast images recorded at different distances need to be accurately aligned. In this work, we characterise the artefacts related to misalignment of the phase-contrast images, and investigate the use of different registration algorithms for aligning inline phase-contrast images. The characterisation of artefacts is done by a simulation study and comparison with experimental data. Loss in resolution due to vibrations is found to be comparable to attenuation-based computed tomography. Further, it is shown that registration of phase-contrast images is nontrivial due to the difference in contrast between the different images, and the often periodical artefacts present in the phase-contrast images if multilayer X-ray optics are used. To address this, we compared two registration algorithms for aligning phase-contrast images acquired by magnified X-ray nanotomography: one based on cross-correlation and one based on mutual information. We found that the mutual information-based registration algorithm was more robust than a correlation-based method.L. Weber and A. Hänsch contributed equally.Correspondence to: M. Langer,

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“…This breaks the global phase-shift symmetry of Fresnel theory. GPAD is approximately valid for hard Xrays when quasi-free valence electrons dominate light-matter interaction (Compton scattering) [34], and/or for chemically homogeneous samples [35]. Under GPAD the linear term in Eq.…”

Section: Global Phase-attenuation Dualitymentioning

confidence: 99%

“…In single-distance phase retrieval, absorptive effects can be taken into account by assuming global phase-attenuation duality (GPAD) [31][32][33] (see [34,35] for a more local approach). GPAD posits that B (x ⊥ ) = εφ (x ⊥ ), where ε is a small, real, and positive constant.…”

Section: Global Phase-attenuation Dualitymentioning

confidence: 99%

Gauging low-dose X-ray phase-contrast imaging at a single and large propagation distance

Hofmann¹,

Schober²,

Hahn³

et al. 2016

Opt. Express

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Abstract:The interactions of a beam of hard and spatio-temporally coherent X-rays with a soft-matter sample primarily induce a transverse distribution of exit phase variations δ φ (retardations or advancements in pieces of the wave front exiting the object compared to the incoming wave front) whose free-space propagation over a distance z gives rise to intensity contrast g z . For single-distance image detection and |δ φ | 1 all-order-in-z phase-intensity contrast transfer is linear in δ φ . Here we show that ideal coherence implies a decay of the (shot-)noise-to-signal ratio in g z and of the associated phase noise as z −1/2 and z −1 , respectively. Limits on X-ray dose thus favor large values of z. We discuss how a phase-scaling symmetry, exact in the limit δ φ → 0 and dynamically unbroken up to |δ φ | ∼ 1, suggests a filtering of g z in Fourier space, preserving non-iterative quasi-linear phase retrieval for phase variations up to order unity if induced by multi-scale objects inducing phase variations δ φ of a broad spatial frequency spectrum. Such an approach continues to be applicable under an assumed phase-attenuation duality. Using synchrotron radiation, ex and in vivo microtomography on frog embryos exemplifies improved resolution compared to a conventional single-distance phase-retrieval algorithm. Hofmann, "X-ray phase-contrast in vivo microtomography probes novel aspects of Xenopus gastrulation," Nature 497, 374-377 (2013). 2. J. Moosmann, A. Ershov, V. Weinhardt, T. Baumbach, M. S. Prasad, C. LaBonne, X. Xiao, J. Kashef, and R. Hofmann, "Time-lapse X-ray phase-contrast microtomography for in vivo imaging and analysis of morphogenesis," Nat. Protoc. 9, 294-304 (2014). #251990Received 16 Anal. 2015Anal. , 943501 (2015. 31. X. Wu, H. Liu, and A. Yan, "X-ray phase-attenuation duality and phase retrieval," Opt. Lett. 30, 379-381 (2005). 32. D. M. Paganin, S. C. Mayo, T. E. Gureyev, P. R. Miller, and S. W. Wilkins, "Simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object," J. Microsc. 206, 33-40 (2002). 33. M. Langer, P. Cloetens, A. Pacureanu, and F. Peyrin, "X-ray in-line phase tomography of multimaterial objects,"Opt. Lett. 37, 2151Lett. 37, -2153Lett. 37, (2012. 34. M. Langer, P. Cloetens, B. Hesse, H. Suhonen, A. Pacureanu, and F. Peyrin, "Priors for X-ray in-line phase contrast tomography of heterogeneous objects," Phil. Trans. R. Soc. A 372, 20130129 (2014). 35. R. C. Chen, H. L. Xie, L. Rogon, R. Longo, E. Castelli, and T. Q. Xiao, "Phase retrieval in quantitative x-ray microtomography with a single sample-to-detector distance," Opt. Lett. 36, 1719Lett. 36, -1721Lett. 36, (2011. 36. P. Kirkpatrick and A. V. Baez, "Formation of Optical Images by X-Rays," J. Opt. Soc. Amer. 38, 766-774 (1948). #251990Received 16

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Priors for X-ray in-line phase tomography of heterogeneous objects

Cited by 26 publications

References 20 publications

Distribution of mesoscale elastic properties and mass density in the human femoral shaft

Distribution of mesoscale elastic properties and mass density in the human femoral shaft

Registration of phase‐contrast images in propagation‐based X‐ray phase tomography

Gauging low-dose X-ray phase-contrast imaging at a single and large propagation distance

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