Mathematical Methods in Tomography: Proceedings of a Conference Held in Oberwolfach, Germany, 5-11 June, 1990

Herman, Gabor T. (Editor) / Louis, Alfred K. (Editor) / Natterer, Frank (Editor)

ISBN 10: 3540549706 / ISBN 13: 9783540549703

Published by Springer-Verlag Berlin And Heidelberg Gmbh & Co. Kg, 1992

About this Item

1991 edition. 278 pages. 9.20x6.20x0.80 inches. In Stock.

Seller Inventory # x-3540549706

Bibliographic Details

• Title: Mathematical Methods in Tomography: Proceedings of a Conference Held in Oberwolfach, Germany, 5-11 June, 1990
• Publisher: Springer-Verlag Berlin And Heidelberg Gmbh & Co. Kg
• Publication Date: 1992
• Language: English
• ISBN 10: 3540549706
• ISBN 13: 9783540549703
• Binding: Paperback
• Condition: Brand New
• Weight: 0.41 kilograms

About this title

Synopsis

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