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Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Golubyatnikov, V. P. (Vladimir P.) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Utrecht ; Boston : VSP, 2000.
Colección:Inverse and ill-posed problems series.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Chapter 1. Introduction
  • 1.1. Notation and basic definitions
  • 1.2. Translation equivalence of projections. Preliminary results
  • Chapter 2. SO(2)-congruence of projections
  • 2.1. The case of convex bodies
  • 2.2. An attempt to relax the asymmetry conditions
  • 2.3. The case of (n
  • 2)-visible and (n
  • 2)-convex bodies
  • 2.4. Stability estimates for recovering the shapes of convex bodies from the shapes of their projections
  • Chapter 3. Other groups of congruences of projections
  • 3.1. SO(2)-similarity of projections
  • 3.2. SO(3)-congruence of projections
  • 3.3. SU(2) and U-congruence of projectionsChapter 4. Apparent contours and other tomography-type projection data
  • 4.1. Reconstruction of surfaces from the shapes of their apparent contours and the stationary phase observations
  • 4.2. Inversion formulae for integral geometry problems and an algorithm of computerized tomography
  • 4.3. An inverse problem for the Hamilton-Jacobi equations
  • 4.4. Inverse problems for one class of the tomography-type evolution equations
  • Bibliography