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Volumn 25, Issue 3, 2005, Pages 367-399

Inverse polynomial reconstruction of two dimensional Fourier images

Author keywords

Fourier approximation; Gibbs phenomenon; Inverse polynomial reconstruction method; Shepp Logan phantom image; Two dimensional image reconstruction

Indexed keywords

FOURIER TRANSFORMS; IMAGE RECONSTRUCTION; INVERSE PROBLEMS; POLYNOMIAL APPROXIMATION; PROBLEM SOLVING;

EID: 29144478086     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-004-4795-3     Document Type: Review
Times cited : (19)

References (31)
  • 1
    • 1942507888 scopus 로고    scopus 로고
    • Reducing the effects of noise in image reconstruction
    • Archibald, R., and Gelb, A. (2002). Reducing the effects of noise in image reconstruction. J. Sci. Comp. 17, 167-180.
    • (2002) J. Sci. Comp. , vol.17 , pp. 167-180
    • Archibald, R.1    Gelb, A.2
  • 2
    • 0141869791 scopus 로고    scopus 로고
    • Improving tissue segmentation of human brain MRI through pre-processing by the Gegenbauer reconstruction method
    • to appear
    • Archibald, R., Chen, K., Gelb, A., and Renaut, R. (2003). Improving tissue segmentation of human brain MRI through pre-processing by the Gegenbauer reconstruction method. Neuroimage, to appear.
    • (2003) Neuroimage
    • Archibald, R.1    Chen, K.2    Gelb, A.3    Renaut, R.4
  • 5
    • 0035501266 scopus 로고    scopus 로고
    • A spectral solution of the Sturm-Liouville equation: Comparison of classical and nonclassical basis sets
    • Chen, H., and Shizgal, B.D. (2001). A spectral solution of the Sturm-Liouville equation: comparison of classical and nonclassical basis sets, J. Comp. Appl. Math. 136, 17-35.
    • (2001) J. Comp. Appl. Math. , vol.136 , pp. 17-35
    • Chen, H.1    Shizgal, B.D.2
  • 7
    • 0035635781 scopus 로고    scopus 로고
    • A Padé-based algorithm for overcoming the Gibbs phenomenon
    • Driscoll, T.A., and Fornberg, B. (2001). A Padé-based algorithm for overcoming the Gibbs phenomenon, Numerical Algorithms 26, 77-92.
    • (2001) Numerical Algorithms , vol.26 , pp. 77-92
    • Driscoll, T.A.1    Fornberg, B.2
  • 9
    • 29144491666 scopus 로고    scopus 로고
    • Numerical harmonic analysis and image processing
    • Kropatsch, W. G., and Bischof, H.(eds.), Springer-Verlag, New York
    • Feichtinger, H.G., and Strohmer, T. (2001). Numerical Harmonic Analysis and Image Processing, in Kropatsch, W. G., and Bischof, H.(eds.), Digital Image Analysis, Springer-Verlag, New York, 7-47.
    • (2001) Digital Image Analysis , pp. 7-47
    • Feichtinger, H.G.1    Strohmer, T.2
  • 11
    • 0031167838 scopus 로고    scopus 로고
    • The resolution of the Gibbs phenomenon for "sliced" functions in one and two dimensions
    • Gelb, A., and Gottlieb, D. (1997). The resolution of the Gibbs phenomenon for "sliced" functions in one and two dimensions. Comp. Math. Appl. 33, 35-38.
    • (1997) Comp. Math. Appl. , vol.33 , pp. 35-38
    • Gelb, A.1    Gottlieb, D.2
  • 14
    • 0035281653 scopus 로고    scopus 로고
    • Spectral methods for hyperbolic problems
    • Gottlieb, D., and Hesthaven, J. S. (2001). Spectral methods for hyperbolic problems. J. Comp. Appl. Math. 128, 83-131.
    • (2001) J. Comp. Appl. Math. , vol.128 , pp. 83-131
    • Gottlieb, D.1    Hesthaven, J.S.2
  • 16
    • 0031381548 scopus 로고    scopus 로고
    • On the Gibbs phenomenon and its resolution
    • Gottlieb, D., and Shu, C.-W. (1997). On the Gibbs phenomenon and its resolution. SIAM Rev. 39, 644-668.
    • (1997) SIAM Rev. , vol.39 , pp. 644-668
    • Gottlieb, D.1    Shu, C.-W.2
  • 17
    • 0002201787 scopus 로고
    • On the Gibbs phenomenon I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function
    • Gottlieb, D., Shu, C.-W., Solomonoff, A., and Vandeven, H. (1992). On the Gibbs phenomenon I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function. J. Comput. Appl. Math. 43, 81-92.
    • (1992) J. Comput. Appl. Math. , vol.43 , pp. 81-92
    • Gottlieb, D.1    Shu, C.-W.2    Solomonoff, A.3    Vandeven, H.4
  • 18
    • 0001694389 scopus 로고
    • Recovering pointwise values of discontinuous data within spectral accuracy
    • Progress and Supercomputing in Computational Fluid Dynamics, Murman, E.M., and Abarbanel, S.S.(eds), Birkhauser, Boston
    • Gottlieb, D., and Tadmor, E. (1985). Recovering pointwise values of discontinuous data within spectral accuracy. In Progress and Supercomputing in Computational Fluid Dynamics, Murman, E.M., and Abarbanel, S.S.(eds), Proceedings of 1984 U.S.-Israel Workshop, Progress in Scientific Computing, vol. 6, Birkhauser, Boston, 357-375.
    • (1985) Proceedings of 1984 U.S.-Israel Workshop, Progress in Scientific Computing , vol.6 , pp. 357-375
    • Gottlieb, D.1    Tadmor, E.2
  • 21
    • 0003872771 scopus 로고
    • Series of Notes and Reports in Computer Science and Applied Mathematics, Academic Press, New York
    • Hord, R. M. (1982). Digital Image Processing of Remotely Sensed Data, Series of Notes and Reports in Computer Science and Applied Mathematics, Academic Press, New York.
    • (1982) Digital Image Processing of Remotely Sensed Data
    • Hord, R.M.1
  • 22
    • 84937655864 scopus 로고
    • Visual pattern recognition by moment invariants
    • Hu, M.-K. (1962). Visual pattern recognition by moment invariants, IRE Trans. on Information Theory IT-8, 179-187.
    • (1962) IRE Trans. on Information Theory IT , vol.8 , pp. 179-187
    • Hu, M.-K.1
  • 23
    • 4444237676 scopus 로고    scopus 로고
    • Generalization of the inverse polynomial reconstruction method in the Resolution of the Gibbs Phenomena
    • Jung, J.-H., and Shizgal, B. D. (2004). Generalization of the inverse polynomial reconstruction method in the Resolution of the Gibbs Phenomena. J. Comp. Appl. Math. 172, 131-151.
    • (2004) J. Comp. Appl. Math. , vol.172 , pp. 131-151
    • Jung, J.-H.1    Shizgal, B.D.2
  • 24
    • 0021631783 scopus 로고
    • Image reconstruction from projections
    • Ekstrom, M.P.(ed.) Academic Press, New York
    • Kak, A. C. (1984). Image reconstruction from projections. In Digital Image Processing Techniques, Ekstrom, M.P.(ed.) Academic Press, New York, 111-170.
    • (1984) Digital Image Processing Techniques , pp. 111-170
    • Kak, A.C.1
  • 28
    • 0001982145 scopus 로고
    • Computer implementation of image reconstruction formulas
    • Herman, G. T. (ed.), Topics in Applied Physics, Springer-Verlag, New York
    • Rowland, S. W. (1979). Computer Implementation of Image Reconstruction Formulas. In Image Reconstruction from Projection, Herman, G. T. (ed.), Topics in Applied Physics, Vol. 32, Springer-Verlag, New York, 9-79.
    • (1979) Image Reconstruction from Projection , vol.32 , pp. 9-79
    • Rowland, S.W.1
  • 29
    • 0016068330 scopus 로고
    • The Fourier reconstruction of a head section
    • Shepp, L. A., and Logan, B. F. (1974). The Fourier reconstruction of a head section. IEEE Trans. Nucl. Sci. NS. 21, 21-43.
    • (1974) IEEE Trans. Nucl. Sci. NS. , vol.21 , pp. 21-43
    • Shepp, L.A.1    Logan, B.F.2
  • 30
    • 0242626810 scopus 로고    scopus 로고
    • Towards the resolution of the Gibbs phenomena
    • Shizgal, B. D., and Jung, J.-H. (2003) Towards the resolution of the Gibbs phenomena. J. Comp. Appl. Math. 161 41-65.
    • (2003) J. Comp. Appl. Math. , vol.161 , pp. 41-65
    • Shizgal, B.D.1    Jung, J.-H.2
  • 31
    • 0013002864 scopus 로고    scopus 로고
    • Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information
    • Tadmor, E., and Tanner, J. (2002). Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information. Found Comp. Math. 2, 155-189.
    • (2002) Found Comp. Math. , vol.2 , pp. 155-189
    • Tadmor, E.1    Tanner, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.