Abel Inversion Algorithm

Fourier-based reconstruction of an unknown radial distribution assuming cylindrical symmetry.

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Carsten Killer (2026). Abel Inversion Algorithm (https://es.mathworks.com/matlabcentral/fileexchange/43639-abel-inversion-algorithm), MATLAB Central File Exchange. Recuperado .

Información general

Compatibilidad con la versión de MATLAB

  • Compatible con cualquier versión

Compatibilidad con las plataformas

  • Windows
  • macOS
  • Linux
Versión Publicado Notas de la versión Action
1.5.0

Improvement of the integration scheme (thanks to Benjamin Tadsen). Using the coordinate transformation r=sqrt(t^2+x^2), the full integration limits can be evaluated (in previous versions, an epsilon was substracted to prevent diverging integrals).

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1.4.0

I have been made aware of an error in the original article of G. Pretzler which results in missing factor 2. This factor 2 is now included in the code and I have deleted the paragraph in the description above which dealt with this issue.

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1.3.0

Description has been updated. A paragraph regarding the interpretation of the result with respect to the real (physical) units in experimental situations has been added.

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1.1.0

Instead of using lsqcurvefit (which requires the Optimization Toolbox), the final equation system can now be solved algebraically

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1.0.0

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