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Singular Filters for the Radon Backprojection
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N. Hungerbühler
Veröffentlicht/Copyright:
4. Juni 2010
Abstract
Numerous methods for the inversion of the Radon transformation which is the basis of computerized tomography are known: Fourier inversion, filtered backprojection or Kaczmarz's method. In the filtered backprojection method the choice of the filter function is crucial for the quality of the pictures. Here we deal with singular filter functions which have some advantages in comparison with conventional filters. An adapted method allows to handle the numerical problems caused by the singularities.
Key words and phrases.: Radon transformation; integral transformation; backprojection method; singular integral kernels; filter function; numerical image reconstruction
Received: 1997-04-22
Revised: 1998-05-20
Published Online: 2010-06-04
Published in Print: 1999-June
© Heldermann Verlag
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Artikel in diesem Heft
- Oscillation Criteria for a Class of Functional Parabolic Equations
- Singular Filters for the Radon Backprojection
- Chemical Attack in Free Boundary Domains
- On Minimax Inequality and Generalized Quasi–Variational Inequality in H-Spaces
- Covering Baire 1 Functions with Darboux Functions and the Cofinality of the Ideal of Meager Sets
- On a Type of Hyperbolic Variational–Hemivariational Inequalities
- A Coloring Result for the Plane
- Nonlinear Alternative: Application to an Integral Equation
- Multivariable Regular Variation of Functions and Measures
- Constrained Equilibrium Point of Maximal Monotone Operator Via Variational Inequality
Schlagwörter für diesen Artikel
Radon transformation;
integral transformation;
backprojection method;
singular integral kernels;
filter function;
numerical image reconstruction
Artikel in diesem Heft
- Oscillation Criteria for a Class of Functional Parabolic Equations
- Singular Filters for the Radon Backprojection
- Chemical Attack in Free Boundary Domains
- On Minimax Inequality and Generalized Quasi–Variational Inequality in H-Spaces
- Covering Baire 1 Functions with Darboux Functions and the Cofinality of the Ideal of Meager Sets
- On a Type of Hyperbolic Variational–Hemivariational Inequalities
- A Coloring Result for the Plane
- Nonlinear Alternative: Application to an Integral Equation
- Multivariable Regular Variation of Functions and Measures
- Constrained Equilibrium Point of Maximal Monotone Operator Via Variational Inequality
