Analysis and interpretation of the first monochromatic X-ray tomography data collected at the Australian Synchrotron Imaging and Medical beamline.

The first monochromatic X-ray tomography experiments conducted at the Imaging and Medical beamline of the Australian Synchrotron are reported. The sample was a phantom comprising nylon line, Al wire and finer Cu wire twisted together. Data sets were collected at four different X-ray energies. In order to quantitatively account for the experimental values obtained for the Hounsfield (or CT) number, it was necessary to consider various issues including the point-spread function for the X-ray imaging system and harmonic contamination of the X-ray beam. The analysis and interpretation of the data includes detailed considerations of the resolution and efficiency of the CCD detector, calculations of the X-ray spectrum prior to monochromatization, allowance for the response of the double-crystal Si monochromator used (via X-ray dynamical theory), as well as a thorough assessment of the role of X-ray phase-contrast effects. Computer simulations relating to the tomography experiments also provide valuable insights into these important issues. It was found that a significant discrepancy between theory and experiment for the Cu wire could be largely resolved in terms of the effect of the point-spread function. The findings of this study are important in respect of any attempts to extract quantitative information from X-ray tomography data, across a wide range of disciplines, including materials and life sciences.

[1]  H. Menzel International Commission on Radiation Units and Measurements , 2011, Journal of the ICRU.

[2]  Michael K Miller,et al.  Atom Probe Tomography: Analysis at the Atomic Level , 2012 .

[3]  Ajay Limaye,et al.  Drishti: a volume exploration and presentation tool , 2012, Optics & Photonics - Optical Engineering + Applications.

[4]  K K W Siu,et al.  The projection approximation and edge contrast for x-ray propagation-based phase contrast imaging of a cylindrical edge. , 2010, Optics express.

[5]  Timur E. Gureyev,et al.  Feasibility of a data-constrained prediction of hydrocarbon reservoir sandstone microstructures , 2010 .

[6]  D. Paganin,et al.  2D and 3D X-ray phase retrieval of multi-material objects using a single defocus distance. , 2010, Optics express.

[7]  Peng Xu,et al.  Experimental study of CT test on the failure of acrylate spray-applied waterproof layer in the groundwater environment , 2010 .

[8]  X. Delfosse,et al.  Large-scale magnetic topologies of early M dwarfs , 2008, 0809.0269.

[9]  W. Kalender,et al.  Technical note: comparing coherent and incoherent scatter effects for cone-beam CT , 2008, Physics in medicine and biology.

[10]  Yakov I Nesterets,et al.  Some simple rules for contrast, signal-to-noise and resolution in in-line x-ray phase-contrast imaging. , 2008, Optics express.

[11]  K. G. Lewis,et al.  Polychromatic phase-contrast computed tomography. , 2007, Medical physics.

[12]  Nobuharu Nakajima,et al.  Noniterative phase retrieval from a single diffraction intensity pattern by use of an aperture array. , 2007, Physical review letters.

[13]  G. Zschornack Handbook of X-Ray Data , 2007 .

[14]  S. Wilkins,et al.  Phase-and-amplitude computer tomography , 2006 .

[15]  David M. Paganin,et al.  Coherent X-Ray Optics , 2006 .

[16]  P. Cloetens,et al.  Investigation of artefact sources in synchrotron microtomography via virtual X-ray imaging , 2005 .

[17]  Julia F. Barrett,et al.  Artifacts in CT: recognition and avoidance. , 2004, Radiographics : a review publication of the Radiological Society of North America, Inc.

[18]  A. Snigirev,et al.  Phase-contrast microtomography of thin biomaterials , 2004, Journal of materials science. Materials in medicine.

[19]  Jan Sijbers,et al.  Reduction of ring artefacts in high resolution micro-CT reconstructions. , 2004, Physics in medicine and biology.

[20]  S. Wilkins,et al.  X-ray phase-contrast microscopy and microtomography. , 2003, Optics express.

[21]  Françoise Peyrin,et al.  Quantification of the degree of mineralization of bone in three dimensions using synchrotron radiation microtomography. , 2002, Medical physics.

[22]  Michael F McNitt-Gray,et al.  AAPM/RSNA Physics Tutorial for Residents: Topics in CT. Radiation dose in CT. , 2002, Radiographics : a review publication of the Radiological Society of North America, Inc.

[23]  S. Wilkins,et al.  Simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object , 2002, Journal of microscopy.

[24]  A. Bronnikov,et al.  Theory of quantitative phase-contrast computed tomography. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[25]  H. Kitamura,et al.  SPECTRA: a synchrotron radiation calculation code. , 2001, Journal of synchrotron radiation.

[26]  J. Cepa,et al.  The effects of seeing on Sérsic profiles – II. The Moffat PSF , 2001, astro-ph/0109067.

[27]  Kevin M. Knowles,et al.  Electron Microscopy and Analysis , 2001 .

[28]  S. Milita,et al.  3D DuMond diagrams of multi-crystal Bragg-case synchrotron topography. I. Flat sample , 2001 .

[29]  D. Jaffray,et al.  Cone-beam computed tomography with a flat-panel imager: magnitude and effects of x-ray scatter. , 2001, Medical physics.

[30]  H. Graafsma,et al.  Deconvolution of the two-dimensional point-spread function of area detectors using the maximum-entropy algorithm , 1999 .

[31]  D W Holdsworth,et al.  Techniques to alleviate the effects of view aliasing artifacts in computed tomography. , 1999, Medical physics.

[32]  P. Spanne,et al.  In-line holography and phase-contrast microtomography with high energy x-rays. , 1999, Physics in medicine and biology.

[33]  S. Wilkins,et al.  Contrast and resolution in imaging with a microfocus x-ray source , 1997 .

[34]  S. Wilkins,et al.  Phase-contrast imaging using polychromatic hard X-rays , 1996, Nature.

[35]  A. Snigirev,et al.  On the possibilities of x-ray phase contrast microimaging by coherent high-energy synchrotron radiation , 1995 .

[36]  B F McEwen,et al.  The relevance of dose-fractionation in tomography of radiation-sensitive specimens. , 1995, Ultramicroscopy.

[37]  F. Gross,et al.  New approximations to J/sub 0/ and J/sub 1/ Bessel functions , 1995 .

[38]  R. B. Ashman,et al.  Relations of mechanical properties to density and CT numbers in human bone. , 1995, Medical engineering & physics.

[39]  D. Bourgeois,et al.  The point-spread function of X-ray image-intensifiers/CCD-camera and imaging-plate systems in crystallography: assessment and consequences for the dynamic range , 1994 .

[40]  E. Westbrook,et al.  Characterization of CCD-based imaging X-ray detectors for diffraction experiments , 1994 .

[41]  Aubrey L. Anderson,et al.  X-ray computed tomography; a nondestructive method for quantitative analysis of sediment cores , 1994 .

[42]  Richard H. Sherman,et al.  Chaotic communications in the presence of noise , 1993, Optics & Photonics.

[43]  Runsheng Li,et al.  The three-dimensional dynamic DuMond diagram for X-ray diffraction analysis of nearly perfect crystals , 1988 .

[44]  E. Fishman,et al.  Evaluation of CT techniques for reducing artifacts in the presence of metallic orthopedic implants. , 1988, Journal of computer assisted tomography.

[45]  A. Krall Applied Analysis , 1986 .

[46]  M. Albert,et al.  CT density numbers in patients with senile dementia of the Alzheimer's type. , 1984, Archives of neurology.

[47]  L. Feldkamp,et al.  Practical cone-beam algorithm , 1984 .

[48]  M. Teague Deterministic phase retrieval: a Green’s function solution , 1983 .

[49]  R. Young,et al.  Profile shape functions in Rietveld refinements , 1982 .

[50]  P M Joseph,et al.  The effects of scatter in x-ray computed tomography. , 1982, Medical physics.

[51]  G. Glover,et al.  An algorithm for the reduction of metal clip artifacts in CT reconstructions. , 1981, Medical physics.

[52]  A. Papoulis Linear systems, Fourier transforms, and optics , 1981, Proceedings of the IEEE.

[53]  T. Matsushita,et al.  A systematic method of estimating the performance of X‐ray optical systems for synchrotron radiation. II. Treatment in position‐angle–wavelength space , 1980 .

[54]  N J Pelc,et al.  Nonlinear partial volume artifacts in x-ray computed tomography. , 1980, Medical physics.

[55]  Jerome B. Hastings,et al.  X‐ray optics and monochromators for synchrotron radiation , 1977 .

[56]  H. Rubin,et al.  The approximation of symmetric X-ray peaks by Pearson type VII distributions , 1977 .

[57]  Klaus Praefcke,et al.  Notizen: Photochemistry of Selenol Esters , 1976 .

[58]  L. Lucy An iterative technique for the rectification of observed distributions , 1974 .

[59]  G. Hounsfield Computerized transverse axial scanning (tomography): Part I. Description of system. 1973. , 1973, The British journal of radiology.

[60]  B. Batterman,et al.  Anharmonicity and the Temperature Dependence of the Forbidden (222) Reflection in Silicon , 1970 .

[61]  P. Turner,et al.  Relativistic Hartree–Fock X‐ray and electron scattering factors , 1968 .

[62]  D. F. Hays,et al.  Table of Integrals, Series, and Products , 1966 .

[63]  U. Bonse,et al.  TAILLESS X‐RAY SINGLE‐CRYSTAL REFLECTION CURVES OBTAINED BY MULTIPLE REFLECTION , 1965 .

[64]  D. Owen Handbook of Mathematical Functions with Formulas , 1965 .

[65]  Norbert Wiener,et al.  Extrapolation, Interpolation, and Smoothing of Stationary Time Series , 1964 .

[66]  A. Cormack Representation of a Function by Its Line Integrals, with Some Radiological Applications , 1963 .

[67]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[68]  H. Cole,et al.  Effect of Crystal Perfection and Polarity on Absorption Edges Seen in Bragg Diffraction , 1962 .

[69]  V. E. Cosslett,et al.  The X‐Ray Shadow Microscope , 1953 .

[70]  Kenneth Levenberg A METHOD FOR THE SOLUTION OF CERTAIN NON – LINEAR PROBLEMS IN LEAST SQUARES , 1944 .

[71]  Jesse W. M. DuMond,et al.  Theory of the Use of More Than Two Successive X-Ray Crystal Reflections to Obtain Increased Resolving Power , 1937 .

[72]  J. Gibbs Fourier's Series , 1898, Nature.

[73]  A. Love,et al.  Fourier's Series , 1898, Nature.

[74]  Anton Maksimenko,et al.  First experiments on the Australian Synchrotron Imaging and Medical beamline, including investigations of the effective source size in respect of X-ray imaging. , 2010, Journal of synchrotron radiation.

[75]  Kentaro Uesugi,et al.  Quantitative evaluation of attenuation contrast of X-ray computed tomography images using monochromatized beams , 2005 .

[76]  Zwi Barnea,et al.  Quantitative Determination of Major Systematics in Synchrotron X-ray Experiments : Seeing Through Harmonic Components , 2003 .

[77]  S. Golding,et al.  Commentary. Radiation dose in CT: are we meeting the challenge? , 2002, The British journal of radiology.

[78]  Pradeep Mitra Ecspe,et al.  REPORT NO , 2001 .

[79]  A. Authier Dynamical theory of x-ray diffraction , 2001 .

[80]  K. Bae,et al.  Efficient correction for CT image artifacts caused by objects extending outside the scan field of view. , 2000, Medical physics.

[81]  J. Hsieh,et al.  An iterative approach to the beam hardening correction in cone beam CT. , 2000, Medical physics.

[82]  Sean Brennan,et al.  A suite of programs for calculating x‐ray absorption, reflection, and diffraction performance for a variety of materials at arbitrary wavelengths , 1992 .

[83]  J. Radon On the determination of functions from their integral values along certain manifolds , 1986, IEEE Transactions on Medical Imaging.

[84]  S. Chenery,et al.  Quantitative CT measurements: the effect of scatter acceptance and filter characteristics on the EMI 7070. , 1986, Physics in medicine and biology.

[85]  F. Natterer The Mathematics of Computerized Tomography , 1986 .

[86]  S C Orphanoudakis,et al.  A simulation study of motion artefacts in computed tomography. , 1982, Physics in medicine and biology.

[87]  P. Pianetta,et al.  High Resolution x-Ray Spectroscopy Using Synchrotron Radiation: Source Characteristics and Optical Systems , 1977 .

[88]  Peter Goodhew,et al.  Electron Microscopy And Analysis , 1975 .

[89]  William H. Richardson,et al.  Bayesian-Based Iterative Method of Image Restoration , 1972 .

[90]  C. Lanczos Applied Analysis , 1961 .

[91]  B. G. Ziedses des Plantes,et al.  Eine Neue Methode Zur Differenzierung in der Rontgenographie (Planigraphies) , 1932 .

[92]  Karl Pearson,et al.  Mathematical Contributions to the Theory of Evolution. XIX. Second Supplement to a Memoir on Skew Variation , 1901 .