Grating-assisted spatial phase-shifting incoherent digital holography with compressive sensing for noise reduction

Abstract

We have proposed grating-assisted spatial phase-shifting incoherent digital holography for capturing holograms of dynamically moving objects. With our method, four individual self-reference holograms of a spatially incoherent light are simultaneously created on an image sensor. Thus, it is possible to detect complex amplitude distribution from a single captured image by using a phase-shifting technique. In the present study, we aim to improve the quality of reconstructed images in our method by introducing compressive sensing. To validate the effectiveness of compressive sensing in our method, a 3D image was reconstructed from detected complex amplitude distribution by enforcing the sparsity constraint on the total variation of a signal. As a result, the introduction of compressive sensing can effectively reduce noise and out-of-focus artifacts in our method.