Interferometric lensless imaging: rank-one projections of image frequencies with speckle illuminations

Abstract: Lensless illumination single-pixel imaging with a multicore fiber (MCF) is a computational imaging technique that enables potential endoscopic observations of biological samples at cellular scale. In this work, we show that this technique is tantamount to collecting multiple symmetric rank-one projections (SROP) of an interferometric matrix–a matrix encoding the spectral content of the sample image.