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Experimental evaluation of computerised tomography point spread function variability within the field of view: Parametric models

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Abstract

The objective of the paper was to validate non-linear parametric models of computerised tomography point spread function (PSF), to investigate the role of model parameters and to verify the effect of different imaging conditions on estimated parameters. These models were then to be used experimentally to estimate the variation of PSF shape within the field of view of a scanner. Two parametric models of the PSF are presented. The Gaussian model is appropriate when PSF values are positive, and the damped cosine model can account for negative values. These models are non-linear and fully two-dimensional and do not assume radial symmetry. The models were fitted to images of a point source. The models accounted for over 99% of the variance in the PSF signal. Errors in modulation transfer function were limited to 5% when the appropriate model was selected. The difference in the blurring characteristics of three image reconstruction filters was well quantified by shape parameters, and position parameters located the PSF with subpixel accuracy. With a point source located 50 mm directly above the centre of the field of view, the PSF was found to be anisotropic.

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References

  • Barrett, H. H., andSwindell, W. (1981): ‘Radiological imaging. The theory of image formation, detection and processing’, Vol. 2 (Academic Press, New York, 1981)

    Google Scholar 

  • Bischof, C. J., andEhrhardt, J. C. (1977): ‘Modulation transfer function of the EMI CT head scanner’,Med. Phys.,4, pp. 163–167

    Article  Google Scholar 

  • Boone, J. M., andSeibert, J. A. (1994): ‘An analytical edge spread function model for computer fitting and subsequent calculation of the LSF and MTF’,Med. Phys.,21, pp. 1541–1545

    Google Scholar 

  • Boone, J. M. (2001): ‘Determination of the presampled MTF in computed tomography’,Med. Phys.,28, pp. 356–360

    Article  Google Scholar 

  • Bracewell, R. N. (1977): ‘Correction for collimator width (restoration) in reconstructive x-ray tomography’,JCAT,1, pp. 6–15

    Google Scholar 

  • Citrin, C. M. (1986): ‘High resolution orbital computed tomography’,JCAT,10, pp. 810–816

    Google Scholar 

  • Cunningham, I. A., andFenster, A. (1987): ‘A method for modulation transfer function determination from edge profiles with correction for finite element differentiation’,Med. Phys.,14, pp. 533–537

    Article  Google Scholar 

  • Doré, S., Kearney, R. A., andDe Guise, J. A. (1997b): ‘Experimental correlation-based identification of X-ray CT point spread function. Part II: Simulations and design of input signal’,Med. Biol. Eng. Comput.,35, pp. 9–16

    Google Scholar 

  • Droege, R. T., andMorin, R. L. (1982): ‘A practical method to measure the MTF of CT scanners’,Med. Phys.,9, pp. 758–760

    Article  Google Scholar 

  • Glover, G. H., andEisner, R. L. (1979): ‘Theoretical resolution of computed tomography systems’,JCAT,3, pp. 85–91

    Google Scholar 

  • Glover, G. H., andEisner, R. L. (1980): ‘Correction to theoretical resolution of computed tomography systems’,JCAT,4, p. 108

    Google Scholar 

  • Goodenough, D. J., Weaver, K. E., andDavis, D. O. (1977): ‘Development of a phantom for evaluation and assurance of image quality in CT scanning’,Opt. Eng.,16, pp. 52–65

    Google Scholar 

  • Joseph, P. (1981): ‘Artifacts in computed tomography’, inNewton, T. H., andPotts, D. G. (Eds): ‘Radiology of skull and brain. Technical aspects of computed tomography’ (The CV Mosby Company, St-Louis, MO, 1981), pp. 3956–3992

    Google Scholar 

  • Judy, P. F. (1976): ‘The line spread function and modulation transfer function of a computed tomography scanner’,Med. Phys.,3, pp. 233–236

    Article  Google Scholar 

  • McIntyre, W. J., Alfidi, R. J., Haaga, J., Chernak, E., andMeany, T. F. (1976): ‘Comparative modulation transfer functions of the EMI and Delta scanners’,Radiology,120, pp. 189–191

    Google Scholar 

  • Nickoloff, E. L., andRiley, R. (1985): ‘Simplified approach for modulation transfer function determination in computed tomography’,Med. Phys.,12, pp. 437–442

    Article  Google Scholar 

  • Rathee, S., Koles, Z. J., andOverton, T. R. (1992a): ‘Image restoration in computed tomography: estimation of the spatially variant point spread function’,IEEE Trans. Med. Imag.,11, pp. 539–545

    Google Scholar 

  • Rathee, S., Koles, Z. J., andOverton, T. R. (1992b): ‘Image restoration in computed tomography: restoration of experimental CT images’,IEEE Trans. Med. Imag.,11, pp. 546–553

    Google Scholar 

  • Verly, J. G., andBracewell, R. N. (1979): ‘Blurring in tomograms made with x-ray beams of finite width’,JCAT,3, pp. 662–678

    Google Scholar 

  • Verly, J. G. (1980): ‘X-ray computed tomography in the presence of arbitrary symmetrical focal spot intensity distribution’,Med. Phys.,7, pp. 27–34

    Article  Google Scholar 

  • Yin, F.-F., Giger, M. L., andDoi, K. (1990): ‘Measurement of the presampling modulation transfer function of film digitizers using a curve fitting technique’,Med. Phys.,17, pp. 962–966

    Article  Google Scholar 

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Doré, S., Kearney, R.E. Experimental evaluation of computerised tomography point spread function variability within the field of view: Parametric models. Med. Biol. Eng. Comput. 42, 591–597 (2004). https://doi.org/10.1007/BF02347539

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  • DOI: https://doi.org/10.1007/BF02347539

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