Depth-resolved holographic reconstructions by three-dimensional deconvolution

TL;DR

This paper extends three-dimensional deconvolution techniques, commonly used in microscopy, to holographic reconstructions, enabling artifact-free 3D imaging from a single hologram using Wiener filtering and iterative methods.

Contribution

It introduces two novel deconvolution schemes for holography: an instant Wiener filter-based method and an iterative routine for complex objects.

Findings

Artifact-free 3D reconstructions demonstrated with simulated data.

Experimental holography reconstructions show improved resolution.

Methods effectively restore object positions and distributions.

Abstract

Methods of three-dimensional deconvolution with a point-spread function as frequently employed in optical microscopy to reconstruct true three-dimensional distribution of objects are extended to holographic reconstructions. Two such schemes have been developed and are discussed: an instant deconvolution using the Wiener filter as well as an iterative deconvolution routine. The instant 3d-deconvolution can be applied to restore the positions of volume-spread objects such as small particles. The iterative deconvolution can be applied to restore the distribution of complex and extended objects. Simulated and experimental examples are presented and demonstrate artifact and noise free three-dimensional reconstructions from a single two-dimensional holographic record. Keywords: digital holography, volumetric deconvolution, three-dimensional volumetric deconvolution, particle tracking, holographic particle tracking, resolution, PSF