The x-ray transform: singular value decomposition and resolution

This publication has 12 references indexed in Scilit:

• Reconstruction from Restricted Radon Transform Data: Resolution and Ill-Conditionedness
  SIAM Journal on Mathematical Analysis, 1986
• Incomplete data problems in x-ray computerized tomography
  Numerische Mathematik, 1986
• Nonuniqueness in inverse radon problems: The frequency distribution of the ghosts
  Mathematische Zeitschrift, 1984
• Orthogonal Function Series Expansions and the Null Space of the Radon Transform
  SIAM Journal on Mathematical Analysis, 1984
• The Ill-Conditioned Nature of the Limited Angle Tomography Problem
  SIAM Journal on Applied Mathematics, 1983
• Mathematical problems of computerized tomography
  Proceedings of the IEEE, 1983
• A singular value decomposition for the radon transform in n -dimensional euclidean space
  Numerical Functional Analysis and Optimization, 1981
• The uncertainty principle in reconstructing functions from projections
  Duke Mathematical Journal, 1975
• On the reconstruction of a function on a circular domain from a sampling of its line integrals
  Journal of Mathematical Analysis and Applications, 1974
• Representation of a Function by Its Line Integrals, with Some Radiological Applications. II
  Journal of Applied Physics, 1964