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An efficient geometric image distortion correction method for a biplanar planar gradient coil

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Abstract

Since the spatial field non-linearity of gradient coils translates into image geometric distortion in MRI, in many applications, such as cardiac function analysis and interventional MR-based device tracking/guidance, where the precise geometric information is needed, the presence of geometric image distortion can not be simply ignored. To address the concern for geometric image distortion, we have developed and validated a general and efficient numerical technique for parameterizing the global image distortion for a bi-planar gradient coil as well as accomplishing image restoration as a post-imaging processing. This image correction methodology is based on a global distortion coordinate mapping function which can be systematically defined directly from the gradient field non-linearity in 3-dimension (3D) of a given gradient coil. The image correction was carried out in two steps: (1) map each pixel of the corrected image representation onto its distorted image according to the distortion mapping; (2) interpolate the pixel intensity in the distorted image using its neighboring points via a bi-linear interpolation procedure. The results showed clearly that the distortion correction method was robust in term of the capability of reducing image geometric distortion dramatically. Also it is shown that the magnetic field non-linearity or the image distortion of a typical bi-planar gradient coil can be adequately parameterized using a finite Taylor series expansion based on its design parameters. Furthermore, this image distortion correction method is very efficient in practice for performing 3D correction for any image orientation since a compact parameterized field expression contains non-zero terms.

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References

  1. Roemer PB. High speed, high field, planar surface gradient assembly for fast imaging. In: SMRM Seventh Annual meeting. Work in Progress, 1988.

  2. Turner R. Minimum inductance coils'. J Phys E: Sci: Instrum 1988;21:948–52.

    Article  Google Scholar 

  3. Turner R. Gradient coil design: a review of methods Magn Reson Imaging 1993;11:903–20.

    Article  PubMed  CAS  Google Scholar 

  4. Edelstein WA. Current streamline method for coil construction. U.S. Patent No. 4,840,700, 1988.

  5. Martens MA, Petropoulos LS, Brown RW, Andrews JA, Morich MA, Patrick JL. Insertable bi-planar gradient coil for MR imaging. Rev Sci Instrum 1991;62:2639–45.

    Article  Google Scholar 

  6. Liu H, Truwit CL. Finite size bi-plane gradient coil design for interventional magnetic resonance imaging. IEEE Med Imaging 1998;17:826–30.

    Article  CAS  Google Scholar 

  7. Liu H. Finite size bi-plane gradient coil for magnetic resonance imaging. IEEE Magnet 1998;V34(4):2162–4.

    Google Scholar 

  8. O'Donnell M, Edelstein WA. Med Phys 1985;12(1):20–6.

    Article  PubMed  Google Scholar 

  9. Lai CM. Reconstructing NMR images under magnetic fields with large inhomogeneities'. J Phys E Sci Instrum 1983;16:34–8.

    Article  CAS  Google Scholar 

  10. Liu H, Morich MA, Bi-planar gradient coil imaging and geometric distortion, SMRI 1993;218.

  11. Ersahin A, Hinks RS, Bronskill MJ, Henkelman RM. Biplanar gradient coil for interventional open-concept superconducting magnet. Proc. ISMRM, 1996:124.

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Liu, H. An efficient geometric image distortion correction method for a biplanar planar gradient coil. MAGMA 10, 75–79 (2000). https://doi.org/10.1007/BF02601841

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  • DOI: https://doi.org/10.1007/BF02601841

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