PSF‐Radon transform algorithm: Measurement of the point‐spread function from the Radon transform of the line‐spread function

• Published in: Microscopy research and technique 2024-07, Vol.87 (7), p.1507-1520
• Main Authors: Martínez, Sandra, Martínez, Oscar E.
• Format: Article
• Language: English
• Subjects: Algorithms; image resolution; Line spread function; microscopy; point spread function; Point spread functions; Radon; Radon transform; Radon transformation
• ISSN: 1059-910X; 1097-0029; 1097-0029
• DOI: 10.1002/jemt.24526

In this article, we present a new method called point spread function (PSF)‐Radon transform algorithm. This algorithm consists on recovering the instrument PSF from the Radon transform (in the line direction axis) of the line spread function (i.e., the image of a line). We present the method and tested with synthetic images, and real images from macro lens camera and microscopy. A stand‐alone program along with a tutorial is available, for any interested user, in Martinez (PSF‐Radon transform algorithm, standalone program). Research Highlights Determining the instrument PSF is a key issue. Precise PSF determinations are mandatory if image improvement is performed numerically by deconvolution. Much less exposure time to achieve the same performance than a measurement of the PSF from a very small bead. Does not require having to adjust the PSF by an analytical function to overcome the noise uncertainties. PSF‐Radon transform algorithm. (a) original Image of a LSF, (b) Radon transform, (c) PSF obtained after applying the inverse transform, (d) porfile of the PSF.