Journal
MEASUREMENT SCIENCE AND TECHNOLOGY
Volume 32, Issue 9, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6501/abfbfe
Keywords
granular media; reconstruction; x-ray radiography
Funding
- Laboratoire 3SR part of the LabEx Tec 21 (Investissements d'Avenir-Grant) [ANR-11-LABX-0030]
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This study introduces a novel method for measuring the position of single-sized spheres in 3D from a single, divergent, radiographic projection. By utilizing Fourier transform and minimizing projection residual, the method can determine the particle centers of equal-sized particles. The technique is validated on synthetic data and real radiographs, with the measurement uncertainty evaluated.
The measurement of the position of single-sized spheres in 3D from a single, divergent, radiographic projection is addressed in the present study with the development of a novel method. Generally speaking, the location of the shadow cast by a single sphere on a detector defines a source-detector ray; the position of the particle along this ray is identified by the strong prior knowledge of its radius and the size of the shadow. For a dense assembly of equal-sized particles whose projections overlap, a novel Fourier transform based technique is introduced to give a first 3D determination of the particle centres. The uncertainty of this measurement is calculated from synthetic data with a known noise distribution. A further refinement of this measurement is performed based on the minimisation of the projection residual. The combined approach is validated both on synthetic data, and on real radiographs of a glass bead packing. The effect of noise on the measurement uncertainty is evaluated. The technique is made available to the community in the open source python package radioSphere.
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