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

Mathematical Methods in Tomography: Proceedings of a Conference Held in Oberwolfach, Germany, 5-11 June, 1990 (Lecture Notes in Mathematics)

Science & Math

Gabor T. Herman

Alfred Karl Louis

Mathematics

Springer, Verlag

Developmental Systems and Languages

Grzegorz Rozenberg

Computers & Technology

American Elsevier

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

Mathematical Methods in Tomography: Proceedings of a Conference held in Oberwolfach, Germany, 5-11 June, 1990 (Lecture Notes in Mathematics, 1497)

Biological Sciences

Springer

Discrete Tomography: Foundations, Algorithms and Applications (Applied and Numerical Harmonic Analysis)

Engineering & Transportation

Attila Kuba

Engineering

Birkhauser Verlag AG

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