“…Recently, several attempts were made to acquire the complex-amplitude information of objects by using SPI techniques, such as single-pixel diffractive imaging, [27][28][29] single-pixel wavefront sensing, [30][31][32] singlepixel ptychography, [33] single-pixel digital holography, [34][35][36][37][38][39] and single-pixel phase imaging based on common-path interferometry. [40][41][42][43][44][45][46] Benefiting from the advantages of SPI, the complex-amplitude single-pixel imaging is becoming a promising imaging modality in the fields of optical microscopy, [40] optical metrology, [45] and biomedical science. [39] In this paper, we present a novel complex-amplitude Fourier single-pixel imaging (CFSI) method by combining coherent structured illumination [29,35,40,42,45] and common-path interference [40][41][42][43][44][45][46] with a Fourier basis scan.…”