6533b835fe1ef96bd129fea4

RESEARCH PRODUCT

Fast and robust phase-shift estimation in two-dimensional structured illumination microscopy.

Jorge Garcia-sucerquiaJorge Sola-pikabeaManuel Martínez-corralEmilio Sánchez-ortigaGenaro SaavedraArcadi Garcia-rius

subject

DiffractionStatistical NoisePhotonStructured illumination microscopy02 engineering and technologySignal-To-Noise RatioResidual01 natural sciencesPhase DeterminationMathematical and Statistical TechniquesFluorescence MicroscopyImage Processing Computer-AssistedFourier Anàlisi deMathematicsMicroscopyMultidisciplinaryFourier AnalysisPhysicsApplied MathematicsSimulation and ModelingStatisticsQRLight Microscopy021001 nanoscience & nanotechnologyGaussian NoiseMicroscòpiaFourier analysisPhysical SciencessymbolsCrystallographic TechniquesMedicine0210 nano-technologyAlgorithmDiffractionElementary ParticlesAlgorithmsResearch ArticleImaging TechniquesComputationScienceResearch and Analysis Methods010309 opticssymbols.namesakeRobustness (computer science)0103 physical sciencesParticle PhysicsPhotonsMicroscopy FluorescenceGaussian noiseWavesMathematicsImatges Processament Tècniques digitals

description

A method of determining unknown phase-shifts between elementary images in two-dimensional Structured Illumination Microscopy (2D-SIM) is presented. The proposed method is based on the comparison of the peak intensity of spectral components. These components correspond to the inherent structured illumination spectral content and the residual compo- nent that appears from wrongly estimated phase-shifts. The estimation of the phase-shifts is carried out by finding the absolute maximum of a function defined as the normalized peak intensity difference in the Fourier domain. This task is performed by an optimization method providing a fast estimation of the phase-shift. The algorithm stability and robustness are tested for various levels of noise and contrasts of the structured illumination pattern. Furthermore, the proposed approach reduces the number of computations compared to other existing techniques. The method is supported by the theoretical calculations and validated by means of simulated and experimental results.

10.1371/journal.pone.0221254https://doaj.org/article/3819b33a31294f9583e2b0922b04778a