메뉴 건너뛰기




Volumn 107, Issue 1, 2007, Pages 61-71

Abel inversion using Legendre wavelets expansion

Author keywords

Abel inversion; Emissivity; Legendre wavelets; Projected intensity

Indexed keywords

APPROXIMATION THEORY; RADIATIVE TRANSFER; WAVELET ANALYSIS;

EID: 34247542912     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2007.01.054     Document Type: Article
Times cited : (22)

References (30)
  • 1
    • 34250935560 scopus 로고
    • Elektronendichte und Temperatur in der Säule des Hochstromkohlebogens
    • Maecker H. Elektronendichte und Temperatur in der Säule des Hochstromkohlebogens. Z Physik 136 (1953) 119-136
    • (1953) Z Physik , vol.136 , pp. 119-136
    • Maecker, H.1
  • 2
    • 84914086520 scopus 로고
    • Zur auswertung der Abelschen Integralgleichung
    • Frie W. Zur auswertung der Abelschen Integralgleichung. Ann Phys 10 (1963) 332-339
    • (1963) Ann Phys , vol.10 , pp. 332-339
    • Frie, W.1
  • 3
    • 0001253074 scopus 로고
    • Transformation of observed radiances into radial distribution of the emission of a plasma
    • Bockasten K. Transformation of observed radiances into radial distribution of the emission of a plasma. J Opt Soc Am 51 (1961) 943-947
    • (1961) J Opt Soc Am , vol.51 , pp. 943-947
    • Bockasten, K.1
  • 4
    • 0000066970 scopus 로고
    • Determination of a radiance-coefficient profile from the observed asymmetric radiance distribution of an optically thin radiating medium
    • Freeman M.P., and Katz S. Determination of a radiance-coefficient profile from the observed asymmetric radiance distribution of an optically thin radiating medium. J Opt Soc Am 53 (1963) 1172-1179
    • (1963) J Opt Soc Am , vol.53 , pp. 1172-1179
    • Freeman, M.P.1    Katz, S.2
  • 6
    • 84975576348 scopus 로고
    • Application of the Abel integral equation to spectrographic data
    • Cremers C.J., and Birkebak R.C. Application of the Abel integral equation to spectrographic data. Appl Opt 5 (1966) 1057-1064
    • (1966) Appl Opt , vol.5 , pp. 1057-1064
    • Cremers, C.J.1    Birkebak, R.C.2
  • 7
    • 0040577582 scopus 로고
    • New method of obtaining emission coefficients from emitted spectral intensities: part I-circularly symmetric light sources
    • Maldonado C.D., Caron A.P., and Olsen H.N. New method of obtaining emission coefficients from emitted spectral intensities: part I-circularly symmetric light sources. J Opt Soc Am 55 (1965) 1247-1254
    • (1965) J Opt Soc Am , vol.55 , pp. 1247-1254
    • Maldonado, C.D.1    Caron, A.P.2    Olsen, H.N.3
  • 8
    • 0041373497 scopus 로고
    • Solution of an Abel-type integral equation in the presence of noise by quadratic programming
    • Gorenflo R., and Kovetz Y. Solution of an Abel-type integral equation in the presence of noise by quadratic programming. Numer Math 8 (1966) 392-406
    • (1966) Numer Math , vol.8 , pp. 392-406
    • Gorenflo, R.1    Kovetz, Y.2
  • 9
    • 0001249102 scopus 로고
    • Inversion of Abel's integral equation by means of orthogonal polynomials
    • Minerbo G.N., and Levy M.E. Inversion of Abel's integral equation by means of orthogonal polynomials. SIAM J Numer Anal 6 (1969) 598-616
    • (1969) SIAM J Numer Anal , vol.6 , pp. 598-616
    • Minerbo, G.N.1    Levy, M.E.2
  • 10
    • 0020704122 scopus 로고
    • Determination of the index profile of optical fibers from transverse interferograms using Fourier theory
    • Tatekura K. Determination of the index profile of optical fibers from transverse interferograms using Fourier theory. Appl Opt 22 (1983) 460-463
    • (1983) Appl Opt , vol.22 , pp. 460-463
    • Tatekura, K.1
  • 11
    • 84975571220 scopus 로고
    • Abel inversion using fast Fourier transforms
    • Kalal M., and Nugent K.A. Abel inversion using fast Fourier transforms. Appl Opt 27 (1988) 1956-1959
    • (1988) Appl Opt , vol.27 , pp. 1956-1959
    • Kalal, M.1    Nugent, K.A.2
  • 12
    • 24344451066 scopus 로고
    • Abel inversion using transform techniques
    • Smith L.M., Keefer D.R., and Sudharsanan S.I. Abel inversion using transform techniques. JQSRT 39 (1988) 367-373
    • (1988) JQSRT , vol.39 , pp. 367-373
    • Smith, L.M.1    Keefer, D.R.2    Sudharsanan, S.I.3
  • 13
    • 0002470516 scopus 로고
    • Symmetrizing, filtering, and Abel inversion using Fourier transform techniques
    • Dong J., and Kearney R.J. Symmetrizing, filtering, and Abel inversion using Fourier transform techniques. JQSRT 46 (1991) 141-149
    • (1991) JQSRT , vol.46 , pp. 141-149
    • Dong, J.1    Kearney, R.J.2
  • 14
    • 0000952326 scopus 로고
    • Iterative method for computing the inverse Abel transform
    • Vicharelli P.A., and Lapatovich W.P. Iterative method for computing the inverse Abel transform. Appl Phys Lett 50 (1987) 557-559
    • (1987) Appl Phys Lett , vol.50 , pp. 557-559
    • Vicharelli, P.A.1    Lapatovich, W.P.2
  • 15
    • 0035504792 scopus 로고    scopus 로고
    • An iterative procedure for the inversion of two-dimensional ion/photoelectron imaging experiments
    • Vrakking M.J.J. An iterative procedure for the inversion of two-dimensional ion/photoelectron imaging experiments. Rev Sci Instrum 72 (2001) 4084-4089
    • (2001) Rev Sci Instrum , vol.72 , pp. 4084-4089
    • Vrakking, M.J.J.1
  • 16
    • 28544443214 scopus 로고    scopus 로고
    • Abel inversion using total-variation regularization
    • Asaki T.J., Chartrand R., Vixie K.R., and Wohlberg B. Abel inversion using total-variation regularization. Inv Probl 21 (2005) 1895-1903
    • (2005) Inv Probl , vol.21 , pp. 1895-1903
    • Asaki, T.J.1    Chartrand, R.2    Vixie, K.R.3    Wohlberg, B.4
  • 17
    • 32344450112 scopus 로고    scopus 로고
    • Estimation of confidence intervals for radial emissivity and optimization of data treatment techniques in Abel inversion
    • Chan G.C.-Y., and Hieftje G.M. Estimation of confidence intervals for radial emissivity and optimization of data treatment techniques in Abel inversion. Spectrochim Acta Part B 61 (2006) 31-41
    • (2006) Spectrochim Acta Part B , vol.61 , pp. 31-41
    • Chan, G.C.-Y.1    Hieftje, G.M.2
  • 18
    • 0036497796 scopus 로고    scopus 로고
    • The realization of Abel's inversion in the case of discharge with undetermined radius
    • Ignjatović Lj.M., and Mihajlov A.A. The realization of Abel's inversion in the case of discharge with undetermined radius. JQSRT 72 (2002) 677-689
    • (2002) JQSRT , vol.72 , pp. 677-689
    • Ignjatović, Lj.M.1    Mihajlov, A.A.2
  • 19
    • 0036639401 scopus 로고    scopus 로고
    • Reconstruction of Abel-transformable images: the Gaussian basis-set expansion Abel transform method
    • Dribinski V., Ossadtchi A., Mandelshtam V.A., and Reisler H. Reconstruction of Abel-transformable images: the Gaussian basis-set expansion Abel transform method. Rev Sci Instrum 73 (2002) 2634-2642
    • (2002) Rev Sci Instrum , vol.73 , pp. 2634-2642
    • Dribinski, V.1    Ossadtchi, A.2    Mandelshtam, V.A.3    Reisler, H.4
  • 20
    • 0037064367 scopus 로고    scopus 로고
    • An Abel inversion method for radially resolved measurements in the axial injection torch
    • Álvarez R., Rodero A., and Quintero M.C. An Abel inversion method for radially resolved measurements in the axial injection torch. Spectrochim Acta Part B 57 (2002) 1665-1680
    • (2002) Spectrochim Acta Part B , vol.57 , pp. 1665-1680
    • Álvarez, R.1    Rodero, A.2    Quintero, M.C.3
  • 21
    • 28044448273 scopus 로고    scopus 로고
    • A LabVIEW program for determining confidence intervals of Abel-inverted radial emission profiles
    • Chan G.C.-Y., and Hieftje G.M. A LabVIEW program for determining confidence intervals of Abel-inverted radial emission profiles. Spectrochim Acta Part B 60 (2005) 1486-1501
    • (2005) Spectrochim Acta Part B , vol.60 , pp. 1486-1501
    • Chan, G.C.-Y.1    Hieftje, G.M.2
  • 23
    • 0028485395 scopus 로고
    • Wavelet-Galerkin solutions for one dimensional partial differential equations
    • Amaratunga K., Williams J.R., Qian S., and Weiss J. Wavelet-Galerkin solutions for one dimensional partial differential equations. Int J Numer Meth Eng 37 (1994) 2703-2716
    • (1994) Int J Numer Meth Eng , vol.37 , pp. 2703-2716
    • Amaratunga, K.1    Williams, J.R.2    Qian, S.3    Weiss, J.4
  • 24
    • 0034159354 scopus 로고    scopus 로고
    • Wavelet-Galerkin method for integro-differential equations
    • Avudainayagam A., and Vani C. Wavelet-Galerkin method for integro-differential equations. Appl Numer Math 32 (2000) 247-254
    • (2000) Appl Numer Math , vol.32 , pp. 247-254
    • Avudainayagam, A.1    Vani, C.2
  • 25
    • 0032004817 scopus 로고    scopus 로고
    • Wavelets in the solution of nongray radiative heat transfer equation
    • Bayazitoglu Y., and Wang B.Y. Wavelets in the solution of nongray radiative heat transfer equation. J Heat Transfer 120 (1998) 133-139
    • (1998) J Heat Transfer , vol.120 , pp. 133-139
    • Bayazitoglu, Y.1    Wang, B.Y.2
  • 26
    • 0344026071 scopus 로고    scopus 로고
    • Wavelets and discrete ordinates methods in solving one-dimensional non-gray radiation problem
    • Wang Y., and Bayazitoglu Y. Wavelets and discrete ordinates methods in solving one-dimensional non-gray radiation problem. Int J Heat Mass Transfer 42 (1999) 385-393
    • (1999) Int J Heat Mass Transfer , vol.42 , pp. 385-393
    • Wang, Y.1    Bayazitoglu, Y.2
  • 27
    • 0037291351 scopus 로고    scopus 로고
    • The radiative transfer of a rectangular enclosure using angular domain discrete wavelets
    • Guven O., and Bayazitoglu Y. The radiative transfer of a rectangular enclosure using angular domain discrete wavelets. Int J Heat Mass Transfer 46 (2003) 687-694
    • (2003) Int J Heat Mass Transfer , vol.46 , pp. 687-694
    • Guven, O.1    Bayazitoglu, Y.2
  • 28
    • 2342648115 scopus 로고    scopus 로고
    • Radiative heat transfer solutions for anisotropically scattering media: the use of wavelets
    • Guven O., and Bayazitoglu Y. Radiative heat transfer solutions for anisotropically scattering media: the use of wavelets. AIAA J Thermophys Heat Transfer 18 (2004) 172-177
    • (2004) AIAA J Thermophys Heat Transfer , vol.18 , pp. 172-177
    • Guven, O.1    Bayazitoglu, Y.2
  • 29
    • 0012729457 scopus 로고    scopus 로고
    • Legendre wavelets direct method for variational problems
    • Razzaghi M., and Yousefi S. Legendre wavelets direct method for variational problems. Math Comput Simulation 53 (2000) 185-192
    • (2000) Math Comput Simulation , vol.53 , pp. 185-192
    • Razzaghi, M.1    Yousefi, S.2
  • 30
    • 33644901331 scopus 로고    scopus 로고
    • Numerical solution of Abel's integral equation by using Legendre wavelets
    • Yousefi S.A. Numerical solution of Abel's integral equation by using Legendre wavelets. Appl Math Comput 175 (2006) 574-580
    • (2006) Appl Math Comput , vol.175 , pp. 574-580
    • Yousefi, S.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.