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PSF-Radon transform algorithm: Measurement of the point-spread function from the Radon transform of the line-spread
Sandra Martínez1, Oscar E Martínez2
1Departamento de Matemática, FCEyN-UBA and IMAS, CONICET, Buenos Aires, Argentina.
Microscopy Research and Technique
|February 29, 2024
Summary
We developed a new point spread function (PSF)-Radon transform algorithm to recover the instrument PSF from a line spread function. This method offers a faster and more robust alternative for accurate PSF determination in imaging.
Area of Science:
- Optics and Image Processing
- Computational Imaging
Background:
- Accurate determination of the instrument point spread function (PSF) is critical for image restoration.
- Traditional PSF measurement methods can be time-consuming and require analytical fitting to overcome noise.
Purpose of the Study:
- To introduce a novel algorithm, the PSF-Radon transform algorithm, for efficient and accurate PSF recovery.
- To provide a practical tool for researchers needing precise PSF measurements.
Main Methods:
- The PSF-Radon transform algorithm recovers the instrument PSF from the Radon transform of the line spread function.
- The method was validated using both synthetic and real-world image data from macro and microscopy.
Main Results:
- The algorithm successfully recovers the instrument PSF.
- It requires significantly less exposure time compared to traditional bead-based methods.
- It eliminates the need for analytical function fitting to handle noise.
Conclusions:
- The PSF-Radon transform algorithm provides a faster and more robust approach to PSF determination.
- This method simplifies image deconvolution and improvement processes.
- A standalone program and tutorial are available to facilitate adoption.

