메뉴 건너뛰기




Volumn 23, Issue 5, 2007, Pages 2059-2088

Grids and transforms for band-limited functions in a disk

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FUNCTIONS; GRID COMPUTING; INTERPOLATION; INVERSE KINEMATICS; LINEARIZATION;

EID: 41449111832     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/23/5/015     Document Type: Article
Times cited : (17)

References (27)
  • 2
    • 0032071135 scopus 로고    scopus 로고
    • Near-field antenna measurements using nonideal measurement locations
    • Alpert B, Francis M and Wittmann R 1998 Near-field antenna measurements using nonideal measurement locations IEEE Trans. Antennas Propag. 46 716-22
    • (1998) IEEE Trans. Antennas Propag. , vol.46 , Issue.5 , pp. 716-722
    • Alpert, B.1    Francis, M.2    Wittmann, R.3
  • 5
    • 0009721135 scopus 로고
    • The fundamental identity for iterated spherical means and the inversion formula for diffraction tomography and inverse scattering
    • Beylkin G 1983 The fundamental identity for iterated spherical means and the inversion formula for diffraction tomography and inverse scattering J. Math. Phys. 24 1399-400
    • (1983) J. Math. Phys. , vol.24 , Issue.6 , pp. 1399-1400
    • Beylkin, G.1
  • 6
    • 41449087571 scopus 로고
    • Iterated spherical means in linearized inverse problems
    • Beylkin G 1983 Iterated spherical means in linearized inverse problems Conf. on Inverse Scattering: Theory and Application (Tulsa, OK, 1983) (Philadelphia, PA: SIAM) pp 112-7
    • (1983) Conf. on Inverse Scattering: Theory and Application , pp. 112-117
    • Beylkin, G.1
  • 7
    • 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. 2 363-81
    • (1995) Appl. Comput. Harmon. Anal. , vol.2 , Issue.4 , pp. 363-381
    • Beylkin, G.1
  • 8
    • 3943060186 scopus 로고    scopus 로고
    • On generalized Gaussian quadratures for exponentials and their applications
    • Beylkin G and Monzón L 2002 On generalized Gaussian quadratures for exponentials and their applications Appl. Comput. Harmon. Anal. 12 332-73
    • (2002) Appl. Comput. Harmon. Anal. , vol.12 , Issue.3 , pp. 332-373
    • Beylkin, G.1    Monzón, L.2
  • 9
    • 13444255982 scopus 로고    scopus 로고
    • Wave propagation using bases for bandlimited functions
    • Beylkin G and Sandberg K 2005 Wave propagation using bases for bandlimited functions Wave Motion 41 263-91 (University of Colorado, APPM preprint 518, Dec. 2003)
    • (2005) Wave Motion , vol.41 , Issue.3 , pp. 263-291
    • Beylkin, G.1    Sandberg, K.2
  • 10
    • 0012193809 scopus 로고
    • On double integrals over spheres
    • Burridge R and Beylkin G 1988 On double integrals over spheres Inverse Problems 4 1-10
    • (1988) Inverse Problems , vol.4 , Issue.1 , pp. 1-10
    • Burridge, R.1    Beylkin, G.2
  • 13
    • 0020353765 scopus 로고
    • A filtered backpropagation algorithm for diffraction tomography
    • Devaney A 1982 A filtered backpropagation algorithm for diffraction tomography Ultrason. Imaging 4 336-50
    • (1982) Ultrason. Imaging , vol.4 , Issue.4 , pp. 336-350
    • Devaney, A.1
  • 14
    • 0000527817 scopus 로고
    • Fast Fourier transforms for nonequispaced data
    • Dutt A and Rokhlin V 1993 Fast Fourier transforms for nonequispaced data SIAM J. Sci. Comput. 14 1368-93
    • (1993) SIAM J. Sci. Comput. , vol.14 , Issue.6 , pp. 1368-1393
    • Dutt, A.1    Rokhlin, V.2
  • 17
    • 84857887285 scopus 로고
    • Prolate spheroidal wave functions, Fourier analysis and uncertainty: II
    • Landau H J and Pollak H O 1961 Prolate spheroidal wave functions, Fourier analysis and uncertainty: II Bell Syst. Tech. J. 40 65-84
    • (1961) Bell Syst. Tech. J. , vol.40 , pp. 65-84
    • Landau, H.J.1    Pollak, H.O.2
  • 18
    • 84944487979 scopus 로고
    • Prolate spheroidal wave functions, Fourier analysis and uncertainty: III
    • Landau H J and Pollak H O 1962 Prolate spheroidal wave functions, Fourier analysis and uncertainty: III Bell Syst. Tech. J. 41 1295-336
    • (1962) Bell Syst. Tech. J. , vol.41 , pp. 1295-1336
    • Landau, H.J.1    Pollak, H.O.2
  • 19
    • 23444448744 scopus 로고    scopus 로고
    • The type 3 nonuniform FFT and its applications
    • Lee J-Y and Greengard L 2005 The type 3 nonuniform FFT and its applications J. Comput. Phys. 206 1-5
    • (2005) J. Comput. Phys. , vol.206 , Issue.1 , pp. 1-5
    • Lee, J.-Y.1    Greengard, L.2
  • 21
    • 0000786362 scopus 로고
    • Fast algorithm for spectral analysis of unevenly sampled data
    • Press W H and Rybicki G B 1989 Fast algorithm for spectral analysis of unevenly sampled data Astrophys. J. 338 227-80
    • (1989) Astrophys. J. , vol.338 , pp. 277-280
    • Press, W.H.1    Rybicki, G.B.2
  • 22
    • 33846601790 scopus 로고    scopus 로고
    • Prolate spheroidal wave functions on a disc-integration and approximation of two-dimensional bandlimited functions
    • Shkolnisky Y 2007 Prolate spheroidal wave functions on a disc-integration and approximation of two-dimensional bandlimited functions Appl. Comput. Harmon. Anal. 22 235-56
    • (2007) Appl. Comput. Harmon. Anal. , vol.22 , Issue.2 , pp. 235-256
    • Shkolnisky, Y.1
  • 23
    • 84916160159 scopus 로고
    • Prolate spheroidal wave functions, Fourier analysis and uncertainty: IV. Extensions to many dimensions; Generalized prolate spheroidal functions
    • Slepian D 1964 Prolate spheroidal wave functions, Fourier analysis and uncertainty: IV. Extensions to many dimensions; generalized prolate spheroidal functions Bell Syst. Tech. J. 43 3009-57
    • (1964) Bell Syst. Tech. J. , vol.43 , pp. 3009-3057
    • Slepian, D.1
  • 24
    • 85171835557 scopus 로고
    • Some asymptotic expansions for prolate spheroidal wave functions
    • Slepian D 1965 Some asymptotic expansions for prolate spheroidal wave functions J. Math. Phys. 44 99-140
    • (1965) J. Math. Phys. , vol.44 , pp. 99-140
    • Slepian, D.1
  • 25
    • 0017961888 scopus 로고
    • Prolate spheroidal wave functions, Fourier analysis and uncertainty: V. the discrete case
    • Slepian D 1978 Prolate spheroidal wave functions, Fourier analysis and uncertainty: V. The discrete case Bell Syst. Tech. J. 57 1371-430
    • (1978) Bell Syst. Tech. J. , vol.57 , Issue.5 , pp. 1371-1430
    • Slepian, D.1
  • 26
    • 84939751170 scopus 로고
    • Prolate spheroidal wave functions, Fourier analysis and uncertainty: I
    • Slepian D and Pollak H O 1961 Prolate spheroidal wave functions, Fourier analysis and uncertainty: I Bell Syst. Tech. J. 40 43-63
    • (1961) Bell Syst. Tech. J. , vol.40 , pp. 43-63
    • Slepian, D.1    Pollak, H.O.2
  • 27
    • 0035420586 scopus 로고    scopus 로고
    • Prolate spheroidal wavefunctions, quadrature and interpolation
    • Xiao H, Rokhlin V and Yarvin N 2001 Prolate spheroidal wavefunctions, quadrature and interpolation Inverse Problems 17 805-38
    • (2001) Inverse Problems , vol.17 , Issue.4 , pp. 805-838
    • Xiao, H.1    Rokhlin, V.2    Yarvin, N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.