Accurate 3D SMLM localization via Vectorial In-situ PSF Retrieval and Aberration Assessment

In single-molecule localization microscopy (SMLM), achieving precise localization hinges on obtaining an authentic point spread function (PSF) influenced by system and sample-induced aberrations. Here, we introduce VISPR (Vectorial in-situ PSF retrieval) retrieving precise 3D PSF models considering both system and sample-induced aberrations under SMLM conditions. By employing the theory of vectorial PSF model and maximum likelihood estimation (MLE) phase retrieval, VISPR is capable of reconstructing an accurate 3D PSF model achieving the theoretically minimum uncertainty and accurately reflecting three-dimensional information of single molecules. This capability empowers accurate 3D super-resolution reconstruction in 3D SMLM. Additionally, VISPR applies to low signal-to-noise ratio circumstances and is adept at retrieving high-frequency details of the experimental PSF across an extensive depth range—a challenging feat for alternative approaches. As an effective tool, VISPR enables the quantitative assessment of aberrations induced by the system and sample environment. From the simulations and experiments, we verified the superiority and effectiveness of VISPR. It is essential to highlight that VISPR applies to various SMLM microscope modalities. ### Competing Interest Statement The authors have declared no competing interest.