Mathematical Aspects of Computerized Tomography PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Mathematical Aspects of Computerized Tomography PDF full book. Access full book title Mathematical Aspects of Computerized Tomography by G.T. Herman. Download full books in PDF and EPUB format.
Author: G.T. Herman
Publisher: Springer Science & Business Media
ISBN: 364293157X
Category : Mathematics
Languages : en
Pages : 317
Get Book Here
Book Description
G.T. Herman F. Natterer Universitat des Saarlandes Medical Image Processing Group Department of Computer Science Angewandte Mathematik und State University of New York at Informatik 66 Saarbrucken Buffalo Germany 4226 Ridge Lea Road Amherst, N.Y. 14226 USA In August 1978 we have attended a working conference on Computer Aided Tomography and Ultrasonics in Medicine which was held in Haifa, Israel under the auspices of the International Federation for Information Pro cessing [1]. That meeting, in common with other meetings relating to computerized tomography, concentrated on the physical, engineering and clinical aspects of the topic, with little attention paid to the under lying mathematics, and no attention paid to recent developments in ma thematics inspired by computerized tomography (although not necessarily) useful for computerized tomography). We both felt that it would be worthwhile to organize a meeting of mathematicians which would concen trate on the mathematical aspects of computerized tomography. This vol ume (and the meeting on which it is based) is the outcome of our decision in August 1978 to attempt to bring together such a meeting. In the meantime much has been published on the topic of computerized to mography.
Author: G.T. Herman
Publisher: Springer Science & Business Media
ISBN: 364293157X
Category : Mathematics
Languages : en
Pages : 317
Get Book Here
Book Description
G.T. Herman F. Natterer Universitat des Saarlandes Medical Image Processing Group Department of Computer Science Angewandte Mathematik und State University of New York at Informatik 66 Saarbrucken Buffalo Germany 4226 Ridge Lea Road Amherst, N.Y. 14226 USA In August 1978 we have attended a working conference on Computer Aided Tomography and Ultrasonics in Medicine which was held in Haifa, Israel under the auspices of the International Federation for Information Pro cessing [1]. That meeting, in common with other meetings relating to computerized tomography, concentrated on the physical, engineering and clinical aspects of the topic, with little attention paid to the under lying mathematics, and no attention paid to recent developments in ma thematics inspired by computerized tomography (although not necessarily) useful for computerized tomography). We both felt that it would be worthwhile to organize a meeting of mathematicians which would concen trate on the mathematical aspects of computerized tomography. This vol ume (and the meeting on which it is based) is the outcome of our decision in August 1978 to attempt to bring together such a meeting. In the meantime much has been published on the topic of computerized to mography.
Author: G T Herman
Publisher:
ISBN: 9783642931581
Category :
Languages : en
Pages : 320
Get Book Here
Book Description
Author:
Publisher:
ISBN: 9780387102771
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Gabor T. Herman
Publisher: Springer
ISBN: 9780387102771
Category : Geometric tomography
Languages : en
Pages : 309
Get Book Here
Book Description
Author: Frank Natterer
Publisher: SIAM
ISBN: 0898714931
Category : Mathematics
Languages : en
Pages : 240
Get Book Here
Book Description
This book provides a unified view of tomographic techniques and an in-depth treatment of reconstruction algorithms.
Author: Lawrence A. Shepp
Publisher: American Mathematical Soc.
ISBN: 0821800337
Category : Mathematics
Languages : en
Pages : 98
Get Book Here
Book Description
In this volume, the collection of articles by Shepp, Helgason, Radon, and others, gives mathematicians unfamiliar with applied mathematics a rather full spectrum of models of computed tomography. Included are nice problems both relevant and of intrinsic interest suggested by each of the papers.
Author:
Publisher:
ISBN:
Category :
Languages : de
Pages : 20
Get Book Here
Book Description
Author: F. Natterer
Publisher: Springer-Verlag
ISBN: 3663014096
Category : Technology & Engineering
Languages : de
Pages : 235
Get Book Here
Book Description
Author: Gabor T. Herman
Publisher: Springer
ISBN: 3540466150
Category : Medical
Languages : en
Pages : 279
Get Book Here
Book Description
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
Author: Avinash C. Kak
Publisher: SIAM
ISBN: 089871494X
Category : Mathematics
Languages : en
Pages : 335
Get Book Here
Book Description
A comprehensive, tutorial-style introduction to the algorithms necessary for tomographic imaging.
