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Volumn 332, Issue 12, 2001, Pages 1059-1063

An inversion formula for the attenuated X-ray transformation

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EID: 0346611367     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(01)01965-6     Document Type: Article
Times cited : (34)

References (11)
  • 1
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    • Two-dimensional tomography problems and the theory of A-analytic functions
    • Arbuzov E.V., Bukhgeim A.L., Kazantsev S.G. Two-dimensional tomography problems and the theory of A -analytic functions. Siberian Adv. in Math. 8:(4):1998;1-20.
    • (1998) Siberian Adv. in Math. , vol.8 , Issue.4 , pp. 1-20
    • Arbuzov, E.V.1    Bukhgeim, A.L.2    Kazantsev, S.G.3
  • 2
    • 0000239962 scopus 로고
    • Uniqueness for the attenuated X-ray transform in the physical range
    • Finch D.V. Uniqueness for the attenuated X-ray transform in the physical range. Inverse Problems. 2:1986;197-203.
    • (1986) Inverse Problems , vol.2 , pp. 197-203
    • Finch, D.V.1
  • 3
    • 0010269799 scopus 로고
    • Discrete analogues of ∂-equation and of Radon transform
    • Fokas A.S., Novikov R.G. Discrete analogues of ∂ -equation and of Radon transform. C. R. Acad. Sci. Paris, Série I. 313:1991;75-80.
    • (1991) C. R. Acad. Sci. Paris, Série I , vol.313 , pp. 75-80
    • Fokas, A.S.1    Novikov, R.G.2
  • 5
    • 0345740253 scopus 로고    scopus 로고
    • A new SPECT reconstruction algorithm based on the Novikov's explicit inversion formula
    • URL:
    • Kunyansky L., A new SPECT reconstruction algorithm based on the Novikov's explicit inversion formula, 00-342 into Math. Phys. Preprint Archive, URL: http://www.ma.utexas.edu/mp_arc/.
    • 00-342 into Math. Phys. Preprint Archive
    • Kunyansky, L.1
  • 6
    • 0001386196 scopus 로고
    • Three-dimensional model of relativistic-invariant field theory integrable by inverse scattering transform
    • Manakov S.V., Zakharov V.E. Three-dimensional model of relativistic-invariant field theory integrable by inverse scattering transform. Lett. Math. Phys. 5:1981;247-253.
    • (1981) Lett. Math. Phys. , vol.5 , pp. 247-253
    • Manakov, S.V.1    Zakharov, V.E.2
  • 8
    • 0010237857 scopus 로고    scopus 로고
    • Small angle scattering and X-ray transform in classical mechanics
    • Novikov R.G. Small angle scattering and X-ray transform in classical mechanics. Ark. Mat. 37:1999;141-169.
    • (1999) Ark. Mat. , vol.37 , pp. 141-169
    • Novikov, R.G.1
  • 9
    • 0347632154 scopus 로고    scopus 로고
    • d from its non-Abelian Radon transform along oriented straight lines
    • Université de Nantes, Laboratoire de mathématique
    • d from its non-Abelian Radon transform along oriented straight lines, Université de Nantes, Laboratoire de mathématique, Rapport de Recherche 99/11-5.
    • Rapport de Recherche 99/11-5
    • Novikov, R.G.1
  • 10
    • 0003806997 scopus 로고    scopus 로고
    • An inversion formula for the attenuated X-ray transformation
    • Université de Nantes, Laboratoire de mathématique, Preprint May 25
    • Novikov R.G., An inversion formula for the attenuated X-ray transformation, Université de Nantes, Laboratoire de mathématique, Rapport de Recherche 00/05-3, Preprint May 25, 2000.
    • (2000) Rapport de Recherche 00/05-3
    • Novikov, R.G.1
  • 11
    • 0001197863 scopus 로고
    • The exponential Radon transform
    • Tretiak O.J., Metz C. The exponential Radon transform. SIAM J. Appl. Math. 39:1980;341-354.
    • (1980) SIAM J. Appl. Math. , vol.39 , pp. 341-354
    • Tretiak, O.J.1    Metz, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.