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

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Item description for Mathematical Methods in Tomography: Proceedings of a Conference held in Oberwolfach, Germany, 5-11 June, 1990 (Lecture Notes in Mathematics) by Gabor T. Herman, Alfred K. Louis & Frank Natterer...

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



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Item Specifications...


Pages   278
Est. Packaging Dimensions:   Length: 9.2" Width: 6.2" Height: 0.8"
Weight:   0.9 lbs.
Binding  Softcover
Release Date   Feb 18, 1992
Publisher   Springer
ISBN  3540549706  
ISBN13  9783540549703  


Availability  89 units.
Availability accurate as of May 24, 2017 09:45.
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More About Gabor T. Herman, Alfred K. Louis & Frank Natterer


Register your artisan biography and upload your photo! Department of Radiology, Medical Image Processing Group, Philadelphia, Pennsylvania.

Gabor T. Herman has an academic affiliation as follows - City University of New York, New York City, NY, USA.

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Product Categories

1Books > Subjects > Professional & Technical > Engineering > Computer Technology > Image Processing
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Number Systems
4Books > Subjects > Science > Mathematics > General
5Books > Subjects > Science > Mathematics > Mathematical Analysis
6Books > Subjects > Science > Mathematics > Number Systems



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