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By exploiting the nonlinear responses of the fluorescent probes, the spatial resolution of structured illumination microscopy(SIM) can be further increased. However, due to the complex reconstruction process, the traditional reconstruction method of nonlinear structured illumination microscopy (NL-SIM) is relatively slow, which brings a great challenge to realizing real-time display of super-resolution results. To address these issues, an accelerated NL-SIM reconstruction algorithm was developed by extending a high-speed reconstruction framework, Joint Space and Frequency Reconstruction (JSFR) to NL-SIM. We anticipate that this algorithm will facilitate NL- SIM becoming a routine tool in biomedical laboratories.

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