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Mathematical Methods in Tomography : Proceedings of a Conference held in Oberwolfach, Germany, 5-11 June, 1990 / edited by Gabor T. Herman, Alfred K. Louis, Frank Natterer.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1497.
- Lecture Notes in Mathematics, 0075-8434 ; 1497
- Language:
- English
- Subjects (All):
- Medical radiology.
- Mathematics.
- Numerical analysis.
- Global analysis (Mathematics).
- Physiology--Mathematics.
- Physiology.
- Imaging / Radiology.
- Applications of Mathematics.
- Numerical Analysis.
- Analysis.
- Physiological, Cellular and Medical Topics.
- Local Subjects:
- Imaging / Radiology.
- Applications of Mathematics.
- Numerical Analysis.
- Analysis.
- Physiological, Cellular and Medical Topics.
- Physical Description:
- 1 online resource (X, 270 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1991.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- Helgason's support theorem for Radon transforms - A new proof and a generalization
- Singular value decompositions for Radon transforms
- Image reconstruction in Hilbert space
- A problem of integral geometry for a family of rays with multiple reflections
- Inversion formulas for the three-dimensional ray transform
- Backscattered photons - Are they useful for a surface-near tomography?
- Mathematical framework of cone beam 3D reconstruction via the first derivative of the radon transform
- Diffraction tomography some applications and extension to 3-D ultrasound imaging
- Diffuse tomography: A refined model
- Three dimensional reconstructions in inverse obstacle scattering
- Mathematical questions of a biomagnetic imaging problem
- On variable block algebraic reconstruction techniques
- On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementarity problems
- Constrained regularized least squares problems
- Multiplicative iterative methods in computed tomography
- Remark on the informative content of few measurements
- Theorems for the number of zeros of the projection radial modulators of the 2D exponential radon transform
- Evaluation of reconstruction algorithms
- Radon transform and analog coding
- Determination of the specific density of an aerosol through tomography
- Computed tomography and rockets.
- Other Format:
- Printed edition:
- ISBN:
- 9783540466154
- Access Restriction:
- Restricted for use by site license.
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