Abel Inversion Algorithm
Fourier-based reconstruction of an unknown radial distribution assuming cylindrical symmetry.
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Cite As
Carsten Killer (2026). Abel Inversion Algorithm (https://ch.mathworks.com/matlabcentral/fileexchange/43639-abel-inversion-algorithm), MATLAB Central File Exchange. Retrieved .
General Information
- Version 1.5.0 (5.15 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
| Version | Published | Release Notes | 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 |
