Influence analysis of the projection forming method on the reconstruction quality in the digital tomosynthesis

A. O. Belyaev; A. S. Boldyreff; E. B. Gorbunova; D. G. Kovtun

doi:10.1117/12.2513311

9 October 2018 Influence analysis of the projection forming method on the reconstruction quality in the digital tomosynthesis

A. O. Belyaev, A. S. Boldyreff, E. B. Gorbunova, D. G. Kovtun

Author Affiliations +

Proceedings Volume 10796, Electro-Optical Remote Sensing XII; 107960X (2018) https://doi.org/10.1117/12.2513311
Event: SPIE Security + Defence, 2018, Berlin, Germany

Abstract

The aim of tomographic synthesis is to reconstruct the internal structure of a three-dimensional object from a set of its projections in a space of smaller dimension. The foundation of the three-dimensional reconstruction is the operation of backprojection, without additional transformations; however, its result features a low contrast and is significantly blurred due to the overlap effect. The quality of reconstruction is also affected by the number of projections of the object, the range of viewing angles, and the instrumental error of the geometrical configuration of the X-ray unit upon obtaining each of the projections. This work is aimed at studying the influence of the latter factor. By instrumental error in this context, one should understand the positioning accuracy of X-ray source and detector, the projection angle, focus point positioning.

The study was carried out on a three-dimensional mathematical phantom. For the reconstruction we used the algorithm of filtered reverse projections (Feldkamp algorithm) and algebraic reconstruction algorithm (ART). In the process of reconstruction, noise with a specified RMS was added to the data reflecting the angles of obtaining the projection, as well as the position of the focus point. The result of the study are the dependences of the normalized mean square error and the normalized absolute error of reconstruction for different layers from the NMS of the introduced noise.

Citation Download Citation

A. O. Belyaev, A. S. Boldyreff, E. B. Gorbunova, and D. G. Kovtun "Influence analysis of the projection forming method on the reconstruction quality in the digital tomosynthesis", Proc. SPIE 10796, Electro-Optical Remote Sensing XII, 107960X (9 October 2018); https://doi.org/10.1117/12.2513311

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KEYWORDS

Reconstruction algorithms

Distortion

Tomography

Analytical research

X-rays

Sensors

Algorithm development

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