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

See the best price to sell, buy, or rent books by Alfred Karl Louis. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Alfred Karl Louis

See the best price to sell, buy, or rent books by Alfred Karl Louis. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

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