메뉴 건너뛰기




Volumn 21, Issue 3, 2001, Pages 769-782

A new linogram algorithm for computerized tomography

Author keywords

Chirp z transform; Computerized tomography; Fast Fourier transform for nonequispaced data; Gridding; Linogram; Radon transform

Indexed keywords

COMPUTERIZED TOMOGRAPHY; FREQUENCY DOMAIN ANALYSIS; SIGNAL RECEIVERS; Z TRANSFORMS;

EID: 0035534535     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/21.3.769     Document Type: Article
Times cited : (31)

References (26)
  • 1
    • 3142776518 scopus 로고
    • On the fast Fourier transform of functions with singularities
    • BEYLKIN, G. 1995 On the fast Fourier transform of functions with singularities. Appl. Comput. Harmon. Anal, 2, 363-381.
    • (1995) Appl. Comput. Harmon. Anal , vol.2 , pp. 363-381
    • Beylkin, G.1
  • 3
    • 0033102416 scopus 로고    scopus 로고
    • Nonuniform fast Fourier transform
    • DUIJNDAM, A. J. W. & SCHONEWILLE, A. M. 1999 Nonuniform fast Fourier transform. Geophysics, 64, 539-551.
    • (1999) Geophysics , vol.64 , pp. 539-551
    • Duijndam, A.J.W.1    Schonewille, A.M.2
  • 4
    • 0000527817 scopus 로고
    • Fast Fourier transforms for nonequispaced data
    • DUTT, A. & ROKHLIN, V. 1993 Fast Fourier transforms for nonequispaced data. SIAM J. Sci. Statist. Comput., 14, 1368-1393.
    • (1993) SIAM J. Sci. Statist. Comput. , vol.14 , pp. 1368-1393
    • Dutt, A.1    Rokhlin, V.2
  • 5
    • 0023669757 scopus 로고
    • Linograms in image reconstruction from projections
    • EDHOLM, P. & HERMAN, G. 1987 Linograms in image reconstruction from projections. IEEE Trans. Med. Imag., 6, 301-307.
    • (1987) IEEE Trans. Med. Imag. , vol.6 , pp. 301-307
    • Edholm, P.1    Herman, G.2
  • 7
    • 0011937093 scopus 로고    scopus 로고
    • Fast Fourier transform for nonequispaced data
    • (C. K. Chui & L. L. Schumaker eds). Nashville: Vanderbilt University Press
    • ELBEL, B. & STEIDL, G. 1998 Fast Fourier transform for nonequispaced data. Approximation Theory IX. (C. K. Chui & L. L. Schumaker eds). Nashville: Vanderbilt University Press.
    • (1998) Approximation Theory , vol.9
    • Elbel, B.1    Steidl, G.2
  • 10
    • 0026219520 scopus 로고
    • Selection of a convolution function for Fourier inversion using gridding
    • JACKSON, J. I. 1991 Selection of a convolution function for Fourier inversion using gridding. IEEE Trans. Med. Imag., 10, 473-478.
    • (1991) IEEE Trans. Med. Imag. , vol.10 , pp. 473-478
    • Jackson, J.I.1
  • 11
    • 0017558676 scopus 로고
    • The Shannon sampling theorem - Its various extensions and applications: A tutorial review
    • JERRY, A. J. 1965 The Shannon sampling theorem - its various extensions and applications: a tutorial review. Proc. IEEE, 65, 1565-1596.
    • (1965) Proc. IEEE , vol.65 , pp. 1565-1596
    • Jerry, A.J.1
  • 12
    • 0001868550 scopus 로고
    • Computer-assisted diffraction tomography
    • (H. Stark ed.). Orlando: Academic
    • KAVEH, M. & SOUMEKH, M. 1987 Computer-assisted diffraction tomography. Image Recovery: Theory and Applications. (H. Stark ed.). Orlando: Academic, pp. 369-413.
    • (1987) Image Recovery: Theory and Applications , pp. 369-413
    • Kaveh, M.1    Soumekh, M.2
  • 14
    • 0001510322 scopus 로고
    • Fourier reconstruction in tomography
    • NATTERER, F. 1985 Fourier reconstruction in tomography. Numer. Math., 47, 343-353.
    • (1985) Numer. Math. , vol.47 , pp. 343-353
    • Natterer, F.1
  • 16
    • 0022187595 scopus 로고
    • A fast sinc function gridding algorithm for Fourier inversion in computer tomography
    • O'SULLIVAN, J. 1985 A fast sinc function gridding algorithm for Fourier inversion in computer tomography. IEEE Trans. Med. Imag., 4, 200-207.
    • (1985) IEEE Trans. Med. Imag. , vol.4 , pp. 200-207
    • O'Sullivan, J.1
  • 18
    • 0034429499 scopus 로고    scopus 로고
    • New Fourier reconstruction algorithms for computerized tomography
    • A. Aldroubi, A. F. Laine & M. Unser eds. Washington: SPIE
    • POTTS, D. & STEIDL, G. 2000 New Fourier reconstruction algorithms for computerized tomography. Wavelet Applications in Signal and Image Processing, VIII. (A. Aldroubi, A. F. Laine & M. Unser eds). Washington: SPIE, pp. 13-23.
    • (2000) Wavelet Applications in Signal and Image Processing, VIII , pp. 13-23
    • Potts, D.1    Steidl, G.2
  • 19
    • 0011937243 scopus 로고    scopus 로고
    • Fast fourier transforms for nonequispaced data: A tutorial
    • chapter 12. (J. J. Benedetto & P. Ferreira eds). Boston: Birkhäuser
    • POTTS, D., STEIDL, G. & TASCHE, M. 2000 Fast Fourier transforms for nonequispaced data: a tutorial. Modern Sampling Theory: Mathematics and Application, chapter 12. (J. J. Benedetto & P. Ferreira eds). Boston: Birkhäuser, pp. 253-274.
    • (2000) Modern Sampling Theory: Mathematics and Application , pp. 253-274
    • Potts, D.1    Steidl, G.2    Tasche, M.3
  • 20
    • 0029378348 scopus 로고
    • The gridding method for image reconstruction by Fourier transformation
    • SCHOMBERG, H. & TIMMER, J. 1995 The gridding method for image reconstruction by Fourier transformation. IEEE Trans. Med. Imag., MI 14, 596-607.
    • (1995) IEEE Trans. Med. Imag., MI , vol.14 , pp. 596-607
    • Schomberg, H.1    Timmer, J.2
  • 23
    • 22444454428 scopus 로고    scopus 로고
    • A note on fast Fourier transforms for nonequispaced grids
    • STEIDL, G. 1998 A note on fast Fourier transforms for nonequispaced grids. Adv. Comput. Math., 9, 337-352.
    • (1998) Adv. Comput. Math. , vol.9 , pp. 337-352
    • Steidl, G.1
  • 25
    • 0033623973 scopus 로고    scopus 로고
    • Analysis of the direct Fourier method for computer tomography
    • WALDEN, J. 2000 Analysis of the direct Fourier method for computer tomography. IEEE Trans. Med. Imag., 9, 211-222.
    • (2000) IEEE Trans. Med. Imag. , vol.9 , pp. 211-222
    • Walden, J.1
  • 26
    • 0032301587 scopus 로고    scopus 로고
    • Fast approximate Fourier transforms for irregularly spaced data
    • WARE, A. 1998 Fast approximate Fourier transforms for irregularly spaced data. SIAM Rev., 40, 838-859.
    • (1998) SIAM Rev. , vol.40 , pp. 838-859
    • Ware, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.