Depth extraction from a single compressive hologram

TL;DR

This paper introduces a new method to extract depth information from a single compressive hologram using stereo disparity, verified through simulations, enabling efficient 3D scene reconstruction with reduced data.

Contribution

The paper presents a novel approach combining compressive sensing and stereo disparity for depth extraction from a single hologram, adaptable to optical experiments.

Findings

Depth maps from compressive holograms closely match those from original holograms.

Effective depth extraction at sampling rates as low as 2%.

Method is validated through numerical simulations, with potential for optical implementation.

Abstract

We propose a novel method that records a single compressive hologram in a short time and extracts the depth of a scene from that hologram using a stereo disparity technique. The method is verified with numerical simulations, but there is no restriction on adapting this into an optical experiment. In the simulations, a computer-generated hologram is first sampled with random binary patterns, and measurements are utilized in a recovery algorithm to form a compressive hologram. The compressive hologram is then divided into two parts (two apertures), and these parts are separately reconstructed to form a stereo image pair. The pair is eventually utilized in stereo disparity method for depth map extraction. The depth maps of the compressive holograms with the sampling rates of 2, 25, and 50 percent are compared with the depth map extracted from the original hologram, on which compressed sensing is not applied. It is demonstrated that the depth profiles obtained from the compressive holograms are in very good agreement with the depth profile obtained from the original hologram despite the data reduction.