S2O-FSPI: Fourier single pixel imaging via sampling strategy optimization

•An efficient sampling strategy optimization method with high-quality FSPI reconstruction is implemented.•Numerical Simulations and experiments proved the effectiveness, which has advantages over deterministic sampling strategies.•The geometric topologies of the optimal sampling strategy for different categories of datasets are analyzed.•The geometric topologies of the optimal sampling strategy for different categories of datasets are summarized.•It provides subsequent for sampling strategy choice of Fourier single pixel imaging.