Mathematical Methods in Tomography : Proceedings of a Conference held in Oberwolfach, Germany, 5 11 June, 1990

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 proceeding...

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Andre forfattere: Herman, Gabor T., 1941- (Directeur de la publication), Louis, Alfred Karl, 1949-...., mathématicien (Directeur de la publication), Natterer, Frank, 1941- (Directeur de la publication)
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serier:Lecture notes in mathematics 1497
Fag:
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Edition sous un autre format:• Mathematical methods in tomography, proceedings of a conference held in Oberwolfach, 5-11 June 1990, G. Herman, A.K. Louis, F. Natterer, eds, Berlin, Springer-Verlag, 1991, 1 vol. (X-268 p.), Lecture notes in mathematics, 3-540-54970-6
• Mathematical Methods in Tomography, Texte imprimé, 9783662193631
Indholdsfortegnelse:
  • 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.