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A Flexible Approach for the Calibration of Biplanar Radiography of the Spine on Conventional Radiological Systems

Daniel C. Moura1, Jorge G. Barbosa1, Ana M. Reis2, João Manuel R. S. Tavares3
Universidade do Porto, Faculdade de Engenharia, Departamento de Engenharia Informática, and Laboratório de Inteligência Artificial e de Ciência de Computadores, Porto, Portugal, Email: {daniel.moura, jbarbosa}@fe.up.pt
Serviço Médico de Imagem Computorizada, Porto, Portugal
Universidade do Porto, Faculdade de Engenharia, Departamento de Engenharia Mecânica, and Instituto de Engenharia Mecânica e Gestão Industrial, Porto, Portugal, Email: tavares@fe.up.pt

Computer Modeling in Engineering & Sciences 2010, 60(2), 115-138. https://doi.org/10.3970/cmes.2010.060.115

Abstract

This paper presents a new method for the calibration of biplanar radiography that makes possible performing 3D reconstructions of the spine using conventional radiological systems. A novel approach is proposed in which a measuring device is used for determining focal distance and have a rough estimation of translation parameters. Using these data, 3D reconstructions of the spine with correct scale were successfully obtained without the need of calibration objects, something that was not previously achieved. For superior results, two optional steps may be executed that involve an optimisation of the geometrical parameters, followed by a scale adjustment with a very simple calibration object. Computer simulations within vivoCT data show RMS 3D reconstruction errors of 1.9 mm when under the maximum expected variation of the geometrical parameters of the radiological system. Simulations also show that the 3D spinal length may be accurately calculated, but with superior results when using optimisation and adjusting scale (RMS error of 2.09 mm).In vitroexperiments with a dried spine composed by 17 vertebrae show mean 3D reconstructions errors of 1.7 mm. We conclude that the proposed method is suitable for use in clinical environment, and that it compares favourably with previous calibration techniques.

Keywords

Medical imaging, X-ray imaging, Calibration, Geometric Modeling, Optimisation.

Cite This Article

Moura, D. C., Barbosa, J. G., Reis, A. M., Manuel, J. (2010). A Flexible Approach for the Calibration of Biplanar Radiography of the Spine on Conventional Radiological Systems. CMES-Computer Modeling in Engineering & Sciences, 60(2), 115–138.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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