메뉴 건너뛰기




Volumn 40, Issue 1, 1998, Pages 14-23

An optimal and efficient new gridding algorithm using singular value decomposition

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL EFFICIENCY; DATA HANDLING; LINEAR EQUATIONS; MAGNETIC RESONANCE IMAGING; MEDICAL IMAGING; RADIO ASTRONOMY;

EID: 0031814909     PISSN: 07403194     EISSN: None     Source Type: Journal    
DOI: 10.1002/mrm.1910400103     Document Type: Article
Times cited : (81)

References (42)
  • 1
    • 0042187135 scopus 로고
    • Reconstruction from NMR data acquired with imaging gradients having arbitrary time dependence
    • D. Q. Chen, R. B. Marr, P. C. Lauterbur, Reconstruction from NMR data acquired with imaging gradients having arbitrary time dependence. IEEE Trans. Med. Imaging MI-5, 162-164 (1986).
    • (1986) IEEE Trans. Med. Imaging , vol.MI-5 , pp. 162-164
    • Chen, D.Q.1    Marr, R.B.2    Lauterbur, P.C.3
  • 2
    • 7144263491 scopus 로고    scopus 로고
    • Generalized reconstruction technique. U.S. Patent No. 4,701,706 (1987)
    • E. M. Haacke, Generalized reconstruction technique. U.S. Patent No. 4,701,706 (1987).
    • Haacke, E.M.1
  • 3
    • 0023984389 scopus 로고
    • Reconstruction by weighted correlation for MRI with time-varying gradients
    • A. Maeda, K. Sano, T. Yokoyama, Reconstruction by weighted correlation for MRI with time-varying gradients. IEEE Trans, Med. Imaging MI-7, 26-31 (1988).
    • (1988) IEEE Trans, Med. Imaging , vol.MI-7 , pp. 26-31
    • Maeda, A.1    Sano, K.2    Yokoyama, T.3
  • 4
    • 0026601923 scopus 로고
    • Image reconstruction for echo planar imaging with nonequidistant k-space sampling
    • H. Bruder, H. Fischer, H. -E. Reinfelder, F. Schmitt, Image reconstruction for echo planar imaging with nonequidistant k-space sampling. Magn. Reson. Med. 23, 311-323 (1992).
    • (1992) Magn. Reson. Med. , vol.23 , pp. 311-323
    • Bruder, H.1    Fischer, H.2    Reinfelder, H.E.3    Schmitt, F.4
  • 5
    • 0029144252 scopus 로고
    • Analytical resolution and noise characteristics of linearly reconstructed magnetic resonance data with arbitrary k-space sampling
    • J. G. Pipe, J. L. Duerk, Analytical resolution and noise characteristics of linearly reconstructed magnetic resonance data with arbitrary k-space sampling. Magn. Reson. Med. 34, 170-178 (1995).
    • (1995) Magn. Reson. Med. , vol.34 , pp. 170-178
    • Pipe, J.G.1    Duerk, J.L.2
  • 7
    • 0019732771 scopus 로고
    • An investigation of computerized tomography by direct Fourier inversion and optimum interpolation
    • H. Strak, J. W. Woods, I. Paul, R. Hingorani, An investigation of computerized tomography by direct Fourier inversion and optimum interpolation. IEEE Trans. Biomed. Eng. BME-28, 496-505 (1981).
    • (1981) IEEE Trans. Biomed. Eng. , vol.BME-28 , pp. 496-505
    • Strak, H.1    Woods, J.W.2    Paul, I.3    Hingorani, R.4
  • 8
    • 0020830119 scopus 로고
    • A computational study of reconstruction algorithms for diffraction tomography: Interpolation versus filtered back-projection
    • S. X. Pan, A. C. Kak, A computational study of reconstruction algorithms for diffraction tomography: interpolation versus filtered back-projection. IEEE Trans. Acoust. Speech Signal Proc. ASSP-31, 1262-1275 (1983).
    • (1983) IEEE Trans. Acoust. Speech Signal Proc. , vol.ASSP-31 , pp. 1262-1275
    • Pan, S.X.1    Kak, A.C.2
  • 9
    • 0023421537 scopus 로고
    • Direct Fourier reconstruction in fan-beam tomography
    • H. Peng, H. Strak, Direct Fourier reconstruction in fan-beam tomography. IEEE Trans. Med. Imaging MI-6, 209-219 (1987).
    • (1987) IEEE Trans. Med. Imaging , vol.MI-6 , pp. 209-219
    • Peng, H.1    Strak, H.2
  • 10
    • 0029880932 scopus 로고    scopus 로고
    • Frequency resolved single-shot MR images using stochastic k-space trajectories
    • K. Scheffler, J. Hennig, Frequency resolved single-shot MR images using stochastic k-space trajectories. Magn. Reson. Med. 35, 569-576 (1996).
    • (1996) Magn. Reson. Med. , vol.35 , pp. 569-576
    • Scheffler, K.1    Hennig, J.2
  • 11
    • 0012229316 scopus 로고
    • Aperture synthesis
    • (B. Alder, S. Fernbach, M. Rotenberg, Eds.), Academic, New York
    • W. N. Brouw, Aperture synthesis, in "Methods in Computational Physics," (B. Alder, S. Fernbach, M. Rotenberg, Eds.), Vol. 14, pp. 131-175, Academic, New York, 1975.
    • (1975) Methods in Computational Physics , vol.14 , pp. 131-175
    • Brouw, W.N.1
  • 12
    • 0022187595 scopus 로고
    • A fast sinc function gridding algorithm for Fourier inversion in computer tomography
    • J. D. O'Sullivan, A fast sinc function gridding algorithm for Fourier inversion in computer tomography. IEEE Trans. Med. Imaging MI-4, 200-207 (1985).
    • (1985) IEEE Trans. Med. Imaging , vol.MI-4 , pp. 200-207
    • O'Sullivan, J.D.1
  • 13
  • 18
    • 0031003249 scopus 로고    scopus 로고
    • Reduction of motion artifact in cine MRI using variable-density spiral trajectories
    • J. R. Liao, J. M. Pauly, T. J. Brosnan, N. J. Pelc, Reduction of motion artifact in cine MRI using variable-density spiral trajectories. Magn. Reson. Med. 37, 569-575 (1997).
    • (1997) Magn. Reson. Med. , vol.37 , pp. 569-575
    • Liao, J.R.1    Pauly, J.M.2    Brosnan, T.J.3    Pelc, N.J.4
  • 20
    • 0030797553 scopus 로고    scopus 로고
    • Density compensation functions for spiral MRI
    • R. D. Hoge, R. K. S. Kwan, G. B. Pike, Density compensation functions for spiral MRI. Magn. Reson. Med. 38, 117-128 (1997).
    • (1997) Magn. Reson. Med. , vol.38 , pp. 117-128
    • Hoge, R.D.1    Kwan, R.K.S.2    Pike, G.B.3
  • 21
    • 0001313829 scopus 로고
    • A simple graphical representation of Fourier-based imaging methods
    • S. Ljunggren, A simple graphical representation of Fourier-based imaging methods. J. Magn. Reson. 54, 338-343 (1983).
    • (1983) J. Magn. Reson. , vol.54 , pp. 338-343
    • Ljunggren, S.1
  • 22
    • 7144245160 scopus 로고    scopus 로고
    • NMR methods. U.S. Patent No. 4,509,015 (1985)
    • R. J. Ordidge, P. Mansfield, NMR methods. U.S. Patent No. 4,509,015 (1985).
    • Ordidge, R.J.1    Mansfield, P.2
  • 25
    • 0022686199 scopus 로고
    • High-speed spiral-scan echo planar NMR imaging
    • C. B. Ahn, J. H. Kim, Z. H. Cho, High-speed spiral-scan echo planar NMR imaging. IEEE Trans. Med. Imaging MI-5, 2-7 (1986).
    • (1986) IEEE Trans. Med. Imaging , vol.MI-5 , pp. 2-7
    • Ahn, C.B.1    Kim, J.H.2    Cho, Z.H.3
  • 27
    • 0029095343 scopus 로고
    • Optimized gradient wave-forms for spiral scanning
    • K. F. King, T. K. F. Foo, C. R. Crawford, Optimized gradient wave-forms for spiral scanning. Magn. Reson. Med. 34, 156-160 (1995).
    • (1995) Magn. Reson. Med. , vol.34 , pp. 156-160
    • King, K.F.1    Foo, T.K.F.2    Crawford, C.R.3
  • 28
    • 0009572019 scopus 로고    scopus 로고
    • Archimedian spirals with Euclidean gradient limits
    • New York
    • O. Heid, Archimedian spirals with Euclidean gradient limits, in "Proc., ISMRM, 4th Annual Meeting, New York, 1996," p. 114.
    • (1996) Proc., ISMRM, 4th Annual Meeting , pp. 114
    • Heid, O.1
  • 29
    • 0345559941 scopus 로고    scopus 로고
    • The quest for the fastest k-space trajectory
    • New York
    • O. Heid, K. Scheffler, The quest for the fastest k-space trajectory, in "Proc., ISMRM, 4th Annual Meeting, New York, 1996," p. 1484.
    • (1996) Proc., ISMRM, 4th Annual Meeting , pp. 1484
    • Heid, O.1    Scheffler, K.2
  • 30
    • 38249039376 scopus 로고
    • NMR imaging with a rotary field gradient
    • S. Matsui, H. Kohno, NMR imaging with a rotary field gradient. J. Magn. Reson. 70, 157-162 (1986).
    • (1986) J. Magn. Reson. , vol.70 , pp. 157-162
    • Matsui, S.1    Kohno, H.2
  • 31
    • 0027093023 scopus 로고
    • Projection reconstruction techniques for reduction of motion effects in MRI
    • G. H. Glover, J. M. Pauly, Projection reconstruction techniques for reduction of motion effects in MRI. Magn. Reson. Med. 28, 275-289 (1992).
    • (1992) Magn. Reson. Med. , vol.28 , pp. 275-289
    • Glover, G.H.1    Pauly, J.M.2
  • 34
    • 0028957906 scopus 로고
    • Fast three dimensional magnetic resonance imaging
    • P. Irarrazahal, D. G. Nishimura, Fast three dimensional magnetic resonance imaging. Magn. Reson. Med. 33, 656-662 (1995).
    • (1995) Magn. Reson. Med. , vol.33 , pp. 656-662
    • Irarrazahal, P.1    Nishimura, D.G.2
  • 40
    • 0019009028 scopus 로고
    • The singular value decomposition: Its computation and some applications
    • V. C. Klema, A. J. Laub, The singular value decomposition: its computation and some applications. IEEE Trans. Automat. Control AC-25, 164-176 (1980).
    • (1980) IEEE Trans. Automat. Control , vol.AC-25 , pp. 164-176
    • Klema, V.C.1    Laub, A.J.2
  • 41
    • 0020721968 scopus 로고
    • Reconstruction algorithms: Transform methods
    • R. M. Lewitt, Reconstruction algorithms: transform methods. Proc. IEEE 71, 390-408 (1983).
    • (1983) Proc. IEEE , vol.71 , pp. 390-408
    • Lewitt, R.M.1
  • 42
    • 0029378348 scopus 로고
    • The gridding method for image reconstruction by Fourier transformation
    • H. Schomberg, J. Timmer, The gridding method for image reconstruction by Fourier transformation. IEEE Trans. Med. Imaging MI-14, 596-607 (1995).
    • (1995) IEEE Trans. Med. Imaging , vol.MI-14 , pp. 596-607
    • Schomberg, H.1    Timmer, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.