Fig. 1: Schematic of the experimental setup and reconstruction principle.

a Schematic view of experimental setup. A coherent light source illuminates a rotating diffuser in order to excite the fluorescent object through a scattering medium with a random modulated speckle pattern. Once excited, the emitted signal from the fluorescent objects is recorded with a camera. Ifluo is a series of t fluorescent speckles corresponding to different random speckle illuminations. The fingerprints can be recovered from Ifluo by using NMF. Fingerprint-based reconstruction. b Pairwise deconvolution (labeled as ⊛−1) between all the possible pairs of emitter fingerprints is performed. c The result of each deconvolution provides the relative position between one emitter and its neighbors. d By adding the resulting images for each emitter, it is possible to recover a partial image of the object centered at that emitter (see Eq. (4)). e All the partial images can be merged into the final reconstruction according to the relative position between neighboring emitters. Dashed circle indicates the optical memory range. Scale bar sizes are 10 μm. RD: rotating diffuser, DM: dichroic mirror, OB: objective, Scat.: scattering medium, Fluo. Obj.: fluorescent object, SF: spectral filter, TL: tube lens.