Skip to main content
Log in

Reduced motion artifacts in medical imaging by adaptive spatio-temporal reconstruction

  • Published:
Numerical Algorithms Aims and scope Submit manuscript

Abstract

In this paper we introduce an algorithm for imaging a time varying object\(f(\vec x,t)\), from its projections at different fixed times. This algorithm differs from other algorithms in that we do not need the object to remain stationary during the data acquisition period. We show that the reconstruction of coarse features, corresponding to low spatial-frequency data, can be made nearly instantaneously in time from the evolving data. A temporal sequence of these low spatial-frequency reconstructions can be used to estimate the motion of the object. Once the motion is estimated, we may use the estimate to compensate for some of the motion of fine scale features. This enables accurate reconstructions of the time varying fine structure if the motion is not too extreme.

The algorithm is demonstrated for a selection of phantoms and actual MRI studies. In general, this technique shows promise for a wide variety of applications in MRI, as well as for heart imaging using x-ray CT. Clinical applications should include both functional MRI such as dynamic imaging of oxygen usage and blood flow in the brain, and motion imaging of joints, angiography in the lungs, and heart imaging.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M.S. Cohen et al., Acute muscle T2 changes associated with exercise, SMRN (1991) 107.

  2. F. Shellock, J. Mink and J. Fox, Patellofemoral joint: kinematic MR imaging to assess tracking abnormalities, Radiology 168 (1988) 551.

    Google Scholar 

  3. V. Wedeen, Magnetic resonance imaging of myocardial kinematics: A technique to detect, localize and quantify the strain rates of the active human myocardium, Magn. Res. Med. 27 (1992) 52.

    Google Scholar 

  4. R. Turner, D. LeBihan, C.T.W. Moonen, D. Depres and J. Frank, Echo-planar time course MRI of cat brain oxygenation changes, Magn. Res. Med. 22 (1991) 159.

    Google Scholar 

  5. A. Villringer et al., Dynamic imaging with lanthanide chelates in normal brain: Contrast due to magnetic susceptibility effects, Magn. Res. Med. 6 (1988) 164.

    Google Scholar 

  6. J.W. Belliveau et al., Functional cerebral imaging by susceptibility-contrast NMR, Magn. Res. Med. 14 (1990) 538.

    Google Scholar 

  7. J. van Vaals, H.H. Tuithof and W.T. Dixon, Increased time resolution in dynamic imaging, Abstract,10th Annual Meeting of the Society of Magnetic Resonance Imaging (1992) p. 44.

  8. J.E. Bishop, I. Soutar, W. Kucharcyk and D.B. Plewes, Rapid sequential imaging with sharedecho fast spin-echo MR imaging, Works in Progress Abstract,10th Annual Meeting of the Society of Magnetic Resonance Imaging (1992) S26.

  9. G.B. Pike, J.O. Fredrickson, G.H. Glover and D.R. Enzmann, Dynamic susceptibility contrast imaging using a gradient-echo sequence, Abstract,11th Annual Meeting of the Society of Magnetic Resonance in Medicine (1992) p. 1131.

  10. W.A. Edelstein, J.M.S. Hutchinson, G. Johnson and T. Redpath, Spin warp NMR imaging and applications to human whole-body imaging, Phys. Med. Biol. 25 (1980) 751.

    Google Scholar 

  11. F. Farzaneh, S.J. Riederer, J.N. Lee, T. Tasciyan, R.C. Wright and C.E. Spritzer, MR Fluoroscopy: Initial clinical studies, Radiology 171 (1989) 545.

    Google Scholar 

  12. Z.-P. Liang and P.C. Lauerbur, IEEE Trans. Med. Imaging 10 (1991) 132.

    Google Scholar 

  13. S. Plevritis and A. Macovski, Resolution improvement for spectroscopic images, Abstract,11th Annual Meeting of the Society of Magnetic Resonance in Medicine (1992) p. 3820.

  14. X. Hu and Z. Wu, SLIM revisited, Abstract,11th Annual Meeting of the Society of Magnetic Resonance in Medicine (1992) p. 3821.

  15. P.C. Lauterbur, Image formation by induced local interactions: Examples employing nuclear magnetic resonance, Nature 242 (1973) 190.

    Google Scholar 

  16. G.H. Glover and J.M. Pauly, ‘Projection reconstruction methods for motion-robust MRI, Abstract,11th Annual Meeting of the Society of Magnetic Resonance in Medicine (1992) p. 881.

  17. D. Healy and J.B. Weaver, Two applications of wavelet transforms in Magnetic Resonance Imaging, IEEE Trans. Inf. Theory 32 (1992) 840–860.

    Google Scholar 

  18. A.C. Kak and M. Slaney,Principles of Computerized Tomographic Imaging (IEEE Press, 1988).

  19. S.J. Riederer, N.J. Pelc and D.A. Chesler, The noise power spectrum in computer x-ray tomography, Phys. Med. Biol. 23 (1978) 446–454.

    Google Scholar 

  20. W.R. Madych, Summability and approximate reconstruction from Radon transform data, Contemp. Math. 113 (1990) 189–219.

    Google Scholar 

  21. F. Natterer,The Mathematics of Computerized Tomography (Wiley, 1986).

  22. T. Olson and J. DeStefano, Wavelet localization of the Radon transform, accepted, IEEE Trans. Signal Proc.

  23. T. Olson, Construction of optimal time-frequency bases for localized tomography, Submitted to “The mathematics of computerized tomography, impedance imaging, and integral geometry”.

  24. G. Glover and D. Noll, Consistent projection reconstruction (CPR) techniques for MRI, MRM 29 (1993) 345–351.

    Google Scholar 

  25. J.A. Reeds and L.A. Shepp, Limited angle reconstruction in tomography via squashing, Trans. Med. Im. MI-6, No. 2 (June, 1987).

  26. G.N. Ramachandran and A.V. Lakshminarayanan, Three dimensional reconstruction from radiographs and electron micrographs: application of convolutions instead of Fourier transforms, Proc. Nat. Acad. Sci. 68 (1971) 2236–2240.

    Google Scholar 

  27. J. Jackson, D. Nishimura and A. Macovski, Twisting radial lines with application to robust magnetic resonance imaging of irregular flow, Magn. Res. Med. 25 (1992) 128–139.

    Google Scholar 

  28. C.W. Chen and T.S. Huang, Epicardial motion and deformation estimation from coronary artery bifurcation points,Proc. 3rd Int. Conf. on Computer Vision, Osaka, Japan (1990) pp. 456–460.

  29. G.D. Meier, M.C. Ziskin, W.P. Santamore and A.A. Bove, Kinematics of the beating heart, IEEE Trans. Biomed. Eng. BME-27, 4 (1980) 319–324.

    Google Scholar 

  30. H.C. Kim et al., Estimation of local cardiac wall deformation and regional wall stress from biplane coronary cineagnigrams, IEEE Trans. Biomed. Eng. BME-27, 7 (1985) 503–511.

    Google Scholar 

  31. A. Pentland and B. Horowitz, Recovery of nonrigid motion and structure, IEEE Trans. Pattern Anal. Machine Int. PAMI-11, no. 7 (1991).

    Google Scholar 

  32. R.J. Holt and A.N. Netravali, Motion of nonrigid objects from multiframe correspondences, J. Visual Commun. Image Representation 3, no. 3 (1992) 255–271.

    Google Scholar 

  33. K.N. Ngan and W.L. Chooi, Subband motion analysis, Op. Eng. 32, no. 7 (1993) 255–271.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was supported in part by ARPA as administered by the AFOSR under contracts AFOSR-90-0292 and DOD F4960-93-1-0567.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Healy, D., Olson, T. & Weaver, J. Reduced motion artifacts in medical imaging by adaptive spatio-temporal reconstruction. Numer Algor 9, 55–84 (1995). https://doi.org/10.1007/BF02143927

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02143927

Keywords

Navigation