Exact reconstruction filters to invert Radon transforms with finite elements

DOI10.1016/0022-247X(86)90217-9zbMath0613.65134MaRDI QIDQ1819558

Yves Nievergelt

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Radon transformcomputerized tomographyRitz methodreconstruction filterinversion algorithms

Mathematics Subject Classification ID

Medical applications (general) (92C50) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) Integral equations with miscellaneous special kernels (45H05)

Related Items (2)

Der fàltungsalgorithmus für dreidimensionale radon–probleme^† ⋮ The Lagrangian Radon transform and the Weil representation

Cites Work

• Projection pursuit
• The Radon transform
• Null spaces and ranges for the classical and spherical Radon transforms
• Integral geometry on k-dimensional planes
• Sur les distributions invariantes dans le groupe des rotations de Lorentz
• Calculator Function Approximation
• Tomographic reconstruction with arbitrary directions
• The Dependence of the Generalized Radon Transform on Defining Measures
• Characteristic Classes. (AM-76)
• Computerized Tomography: The New Medical X-Ray Technology
• Polynomial Based Algorithms for Computed Tomography
• A Projection Pursuit Algorithm for Exploratory Data Analysis
• Uniform asymptotic expansions at a caustic
• Pontryagin Duality in K-Theory
• The Application of the Finite-Element Technique to Potential Flow Problems
• Some Theorems on Distribution Functions
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