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mathematical methods in tomography (en Inglés)
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Reseña del libro "mathematical methods in tomography (en Inglés)"
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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