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• catalog abstract "The conference was devoted to the discussion of present and future techniques in medical imaging, including 3D x-ray CT, ultrasound and diffraction tomography, and biomagnetic ima- ging. The mathematical models, their theoretical aspects and the development of algorithms were treated. The proceedings contains surveys on reconstruction in inverse obstacle scat- tering, inversion in 3D, and constrained least squares pro- blems.Research papers include besides the mentioned imaging techniques presentations on image reconstruction in Hilbert spaces, singular value decompositions, 3D cone beam recon- struction, diffuse tomography, regularization of ill-posed problems, evaluation reconstruction algorithms and applica- tions in non-medical fields. Contents: Theoretical Aspects: J.Boman: Helgason' s support theorem for Radon transforms-a newproof and a generalization -P.Maass: Singular value de- compositions for Radon transforms- W.R.Madych: Image recon- struction in Hilbert space -R.G.Mukhometov: A problem of in- tegral geometry for a family of rays with multiple reflec- tions -V.P.Palamodov: Inversion formulas for the three-di- mensional ray transform - Medical Imaging Techniques: V.Friedrich: Backscattered Photons - are they useful for a surface - near tomography - P.Grangeat: Mathematical frame- work of cone beam 3D reconstruction via the first derivative of the Radon transform -P.Grassin,B.Duchene,W.Tabbara: Dif- fraction tomography: some applications and extension to 3D ultrasound imaging -F.A.Gr}nbaum: Diffuse tomography: a re- fined model -R.Kress,A.Zinn: Three dimensional reconstruc- tions in inverse obstacle scattering -A.K.Louis: Mathemati- cal questions of a biomagnetic imaging problem - Inverse Problems and Optimization: Y.Censor: On variable block algebraic reconstruction techniques -P.P.Eggermont: On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementary problems".
• catalog contributor b3566067.
• catalog contributor b3566068.
• catalog contributor b3566069.
• catalog contributor b3566070.
• catalog created "1991.".
• catalog date "1991".
• catalog date "1991.".
• catalog dateCopyrighted "1991.".
• catalog description "From the Contents: Theoretical Aspects: J. Boman: Helgason's support theorem for Radon transforms - a new proof and a generalization -- P. Maaß: Singular value decompositions for Radon transforms -- W.R. Madych: Image reconstruction in Hilbert space -- R.G. Mukhometov: A problem of integral geometry for a family of rays with multiple reflections -- V.P. Palamodov: Inversion formulas for the three-dimensional ray transform. Medical Imaging Techniques: V. Friedrich: Backscattered Photons - are they useful for a surface - near tomography -- P. Grangeat: Mathematical framework of cone beam 3D reconstruction via the first derivative of the Radon transform -- P. Grassin, B. Duchene, W. Tabbara: Diffraction tomography: some applications and extension to 3D ultrasound imaging -- F.A. Grünbaum: Diffuse tomography: a refined model -- R. Kress, A. Zinn: Three dimensional reconstructions in inverse obstacle scattering -- A.K. Louis: Mathematical questions of a biomagnetic imaging problem. Inverse Problems and Optimization: Y. Censor: On variable block algebraic reconstruction techniques -- P.P.B. Eggermont: On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementary problems.".
• catalog description "Includes bibliographical references.".
• catalog description "The conference was devoted to the discussion of present and future techniques in medical imaging, including 3D x-ray CT, ultrasound and diffraction tomography, and biomagnetic ima- ging. The mathematical models, their theoretical aspects and the development of algorithms were treated. The proceedings contains surveys on reconstruction in inverse obstacle scat- tering, inversion in 3D, and constrained least squares pro- blems.Research papers include besides the mentioned imaging techniques presentations on image reconstruction in Hilbert spaces, singular value decompositions, 3D cone beam recon- struction, diffuse tomography, regularization of ill-posed problems, evaluation reconstruction algorithms and applica- tions in non-medical fields. Contents: Theoretical Aspects: J.Boman: Helgason' s support theorem for Radon transforms-a newproof and a generalization -P.Maass: Singular value de- compositions for Radon transforms- W.R.Madych: Image recon- struction in Hilbert space -R.G.Mukhometov: A problem of in- tegral geometry for a family of rays with multiple reflec- tions -V.P.Palamodov: Inversion formulas for the three-di- mensional ray transform - Medical Imaging Techniques: V.Friedrich: Backscattered Photons - are they useful for a surface - near tomography - P.Grangeat: Mathematical frame- work of cone beam 3D reconstruction via the first derivative of the Radon transform -P.Grassin,B.Duchene,W.Tabbara: Dif- fraction tomography: some applications and extension to 3D ultrasound imaging -F.A.Gr}nbaum: Diffuse tomography: a re- fined model -R.Kress,A.Zinn: Three dimensional reconstruc- tions in inverse obstacle scattering -A.K.Louis: Mathemati- cal questions of a biomagnetic imaging problem - Inverse Problems and Optimization: Y.Censor: On variable block algebraic reconstruction techniques -P.P.Eggermont: On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementary problems".
• catalog extent "x, 268 p. :".
• catalog identifier "0387549706 (New York)".
• catalog identifier "3540549706 (Berlin)".
• catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1497.".
• catalog isPartOf "Lecture notes in mathematics ; 1497".
• catalog issued "1991".
• catalog issued "1991.".
• catalog language "eng".
• catalog publisher "Berlin ; New York : Springer-Verlag,".
• catalog subject "510 s 621.36/7 20".
• catalog subject "Global analysis (Mathematics).".
• catalog subject "Mathematics.".
• catalog subject "Numerical analysis.".
• catalog subject "Physiology Mathematics.".
• catalog subject "QA3 .L28 no. 1497 QA649".
• catalog subject "Radon transforms Congresses.".
• catalog subject "Tomography Mathematics Congresses.".
• catalog tableOfContents "From the Contents: Theoretical Aspects: J. Boman: Helgason's support theorem for Radon transforms - a new proof and a generalization -- P. Maaß: Singular value decompositions for Radon transforms -- W.R. Madych: Image reconstruction in Hilbert space -- R.G. Mukhometov: A problem of integral geometry for a family of rays with multiple reflections -- V.P. Palamodov: Inversion formulas for the three-dimensional ray transform. Medical Imaging Techniques: V. Friedrich: Backscattered Photons - are they useful for a surface - near tomography -- P. Grangeat: Mathematical framework of cone beam 3D reconstruction via the first derivative of the Radon transform -- P. Grassin, B. Duchene, W. Tabbara: Diffraction tomography: some applications and extension to 3D ultrasound imaging -- F.A. Grünbaum: Diffuse tomography: a refined model -- R. Kress, A. Zinn: Three dimensional reconstructions in inverse obstacle scattering -- A.K. Louis: Mathematical questions of a biomagnetic imaging problem. Inverse Problems and Optimization: Y. Censor: On variable block algebraic reconstruction techniques -- P.P.B. Eggermont: On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementary problems.".
• catalog title "Mathematical methods in tomography : proceedings of a conference held in Oberwolfach, 5-11 June 1990 / G. Herman, A.K. Louis, F. Natterer, eds.".
• catalog type "text".