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Summary

In order to promote 3D display techniques it is necessary to accelerate 3D acquisition devices. One solution is to use a 2D X-ray detector. In that case the acquisition procedure can be depicted by the divergent beam transform. For a circular trajectory near of the object, the slice by slice reconstruction is no more accurate. It is necessary to use a 3D reconstruction algorithm. This paper develops an original method based on an approximated evaluation of the 3D Radon Transform and on the use of its inversion formula.

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Reference

  1. A.K. Louis, F. Natterer, “Mathematical Problems of Computerized Tomography”. Proceedings of the IEEE, vol. 71, n° 3, March 1983, pp. 379–389.

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© 1985 Springer-Verlag, Berlin, Heidelberg

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Grangeat, P. (1985). 3D Reconstruction for Diverging X-Ray Beams. In: Lemke, H., Rhodes, M.L., Jaffee, C.C., Felix, R. (eds) Computer Assisted Radiology / Computergestützte Radiologie. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52247-5_13

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  • DOI: https://doi.org/10.1007/978-3-642-52247-5_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-52249-9

  • Online ISBN: 978-3-642-52247-5

  • eBook Packages: Springer Book Archive

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