Maximum Likelihood Localization Maps

Single-molecule localization microscopy commonly reconstructs images from estimated emitter coordinates. We calculate maximum-likelihood localization maps (MLLM), a non-iterative approach that evaluates positional likelihood from measured data and a supplied point-spread function. The MLLM of each detected single molecule image is added into a final upsampled image representing the overall molecular probability map, preserving the positional likelihood structure and obviating separate coordinate-based rendering. MLLM calculation is noniterative, fast, supports any calibrated point-spread function, accounts for local background variation, supports two- and three-dimensional reconstruction, and can be calculated in parallel.

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Publication Details

Journal
bioRxiv (Cold Spring Harbor Laboratory)
Published
2026-11-06
DOI
https://doi.org/10.64898/2026.11.05.764521
Primary Topic
Advanced Fluorescence Microscopy Techniques
Type
preprint

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preprint

Maximum Likelihood Localization Maps

Jonas Ries, Rainer Heintzmann, Hossein Zarei Oshtolagh, Ronny Foerster
bioRxiv (Cold Spring Harbor Laboratory)
Advanced Fluorescence Microscopy Techniques
preprint

Maximum Likelihood Localization Maps

Jonas Ries, Rainer Heintzmann, Hossein Zarei Oshtolagh, Ronny Foerster
preprint en

Abstract

Single-molecule localization microscopy commonly reconstructs images from estimated emitter coordinates. We calculate maximum-likelihood localization maps (MLLM), a non-iterative approach that evaluates positional likelihood from measured data and a supplied point-spread function. The MLLM of each detected single molecule image is added into a final upsampled image representing the overall molecular probability map, preserving the positional likelihood structure and obviating separate coordinate-based rendering. MLLM calculation is noniterative, fast, supports any calibrated point-spread function, accounts for local background variation, supports two- and three-dimensional reconstruction, and can be calculated in parallel.

bioRxiv (Cold Spring Harbor Laboratory)
University of Vienna (AT), Leibniz Institute of Photonic Technology (DE), Friedrich Schiller University Jena (DE)
Deutsche Forschungsgemeinschaft
Advanced Fluorescence Microscopy Techniques
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