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Comparison between rebinning methods and geometric re-projection for the estimation of missing oblique data in 3D-PET

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Abstract

Objective

Classically, the missing portions in the oblique projection data acquired from cylindrical scanners are synthesized by forward projecting an estimation of the activity computed from non-oblique data. Another quick and powerful way to perform the estimation of the truncated portions consists in applying Fourier rebinning methods. This paper intends to compare the performances of 3D geometric re-projection versus two Fourier rebinning techniques (iterative FOREPROJ and extended FORE) designed for re-projection.

Methods

Both analytical and noisy 3D projection data corresponding to a phantom constituted of warm and cold ellipsoids over a uniform background are simulated numerically for the SIEMENS Hi-Rez scanner. The object is reconstructed using 3D filtered back-projection. A prior estimation of the missing oblique data is performed using the three algorithms.

Results

The resolution properties and noise behavior of the three methods are compared and demonstrate a significant signal to noise ratio improvement using rebinning-based algorithms.

Conclusions

We show that iterative FOREPROJ provides projection data with high accuracy 60% less time than geometric re-projection.

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Notes

  1. FOREPROJ is an abbreviation for “projection by means of Fourier rebinning”. FORE is an abbreviation for “Fourier rebinning”. See [3, 4] for a complete description of these algorithms.

References

  1. Kinahan PE, Rogers JG. Analytic three-dimensional image reconstruction using all detected events. IEEE Trans Nucl Sci. 1990;36:964–8.

    Article  Google Scholar 

  2. Ben Bouallègue F, Crouzet JF, Comtat C, Fourcade M, Mohammadi B, Mariano-Goulart D. Exact and approximate Fourier rebinning algorithms for the solution of the data truncation problem in 3D PET. IEEE Trans Med Imag. 2007;26–7:1001–9.

    Article  Google Scholar 

  3. Defrise M, Kinahan PE, Townsend DW, Michel C, Sibomana M, Newport DF. Exact and approximate rebinning algorithms for 3-D PET data. IEEE Trans Med Imag. 1997;16:145–58.

    Article  CAS  Google Scholar 

  4. Liu X, Defrise M, Michel C, Sibomana M, Comtat C, Kinahan PE, et al. Exact rebinning methods for three-dimensional positron tomography. IEEE Trans Med Imag. 1999;18:657–64.

    Article  CAS  Google Scholar 

  5. Comtat C, Kinahan P, Defrise M, Michel C, Lartizien C, Townsend D. Simulating whole-body PET scanning with rapid analytical methods. In: Proceedings of IEEE Nuclear Science Symposium and Medical Imaging Conference, Seattle, WA, 1999. Piscataway, NJ: IEEE; 2000, p. M7-83.

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Acknowledgments

The authors would like to thank the anonymous reviewers for their valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Montpellier Science University, 34095, Montpellier, France

    Fayçal Ben Bouallègue & Jean-François Crouzet

  2. Biophysics and Nuclear Medicine Department, Montpellier Medical University, 34295, Montpellier, France

    Denis Mariano-Goulart

Authors
  1. Fayçal Ben Bouallègue
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  2. Jean-François Crouzet
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  3. Denis Mariano-Goulart
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Corresponding author

Correspondence to Fayçal Ben Bouallègue.

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Ben Bouallègue, F., Crouzet, JF. & Mariano-Goulart, D. Comparison between rebinning methods and geometric re-projection for the estimation of missing oblique data in 3D-PET. Ann Nucl Med 23, 821–827 (2009). https://doi.org/10.1007/s12149-009-0306-9

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  • DOI: https://doi.org/10.1007/s12149-009-0306-9

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