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The effects of the imaging system on the validity limits of the ray-optical approach to phase contrast imaging
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10.1118/1.2126207
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    Affiliations:
    1 Dipartimento di Fisica, Università di Trieste e INFN, Sezione di Trieste, Via Valerio 2, 34100 Trieste, Italy and Institut National des Sciences Appliquées de Lyon, Laboratoire de Contrôle Non Destructif par Rayonnements Ionisants (CNDRI), 20 Avenue A. Einstein, 69621 Villeurbanne, France
    2 Dipartimento di Fisica, Università di Trieste e INFN, Sezione di Trieste, Via Valerio 2, 34100 Trieste, Italy and Medical Physics & Bioengineering Department, University College of London, Malet Place, Gower Street, London WC1E 6BT, United Kingdom
    3 Dipartimento di Fisica, Università di Trieste e INFN, Sezione di Trieste, Via Valerio 2, 34100 Trieste, Italy
    4 Dipartimento di Fisica, Università di Trieste e INFN, Sezione di Trieste, Via Valerio 2, 34100 Trieste, Italy and Medical Physics & Bioengineering Department, University College of London, Malet Place, Gower Street, London WC1E 6BT, United Kingdom
    5 Dipartimento di Fisica, Università di Trieste e INFN, Sezione di Trieste, Via Valerio 2, 34100 Trieste, Italy
    a) Electronic mail: angela.peterzol@insa-lyon.fr
    Med. Phys. 32, 3617 (2005); http://dx.doi.org/10.1118/1.2126207
/content/aapm/journal/medphys/32/12/10.1118/1.2126207
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/32/12/10.1118/1.2126207
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematic display of the ray-optical approach phase contrast formation mechanism for a circular cross-section object being irradiated by a parallel and monochromatic x-ray beam. The image is detected at a distance from the object plane.

Image of FIG. 2.
FIG. 2.

Schematic display of the wave-optical approach phase contrast formation mechanism for a circular cross-section object being irradiated by a spherical and monochromatic x-ray beam generated by a point source located at a distance from the object plane. While, the image is detected at a distance from the object plane.

Image of FIG. 3.
FIG. 3.

Influence of imaging system spatial resolution on the phase contrast signal for a diameter nylon wire. The simulated signals, obtainable with a parallel and monochromatic beam, were computed following both the considered theoretical models: the wave optical (wo) and the ray-optical (ro) approaches. (a) Simulated signals obtainable with an ideal detector (i.e., with an infinite spatial resolution). (b) The same signals after being convolved with a FWHM detector response function.

Image of FIG. 4.
FIG. 4.

Phase contrast images of a diameter nylon wire acquired at three different energies and at three different sample-detector distances. (a) and . (b) and . (c) and . (d) and . (e) and . (f) and . (g) and . (h) and . (i) and .

Image of FIG. 5.
FIG. 5.

Simulated diameter nylon wire signal ( and ) sampled at (a) and three examples of the same signal sampled at (b). The solid, dashed, and dotted curves in Fig. 5(b) show three different (i.e., starting from different initial points) step samplings of the curve shown in Fig. 5(a). The simulation is based on the diffraction formalism and takes into account the unsharpness due to geometry and image receptor response function.

Image of FIG. 6.
FIG. 6.

diameter nylon wire experimental data (dots) superimposed on simulated data (solid line). (a) and . (b) and . (c) and . (d) and . (e) and . (f) and .

Image of FIG. 7.
FIG. 7.

Comparison between diameter nylon wire simulated signals, sampled at , obtained following the two considered models: the wave optical (solid line) and the ray-optical (dots) approaches. (a) and . (b) and . (c) and . (d) and .

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/content/aapm/journal/medphys/32/12/10.1118/1.2126207
2005-11-16
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: The effects of the imaging system on the validity limits of the ray-optical approach to phase contrast imaging
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/32/12/10.1118/1.2126207
10.1118/1.2126207
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