Single shot three-dimensional imaging using an engineered point spread function

A system approach to acquire a three-dimensional object distribution is presented using a compact and cost efficient camera system with an engineered point spread function. The corresponding monocular setup incorporates a phase-only computer-generated hologram in combination with a conventional imaging objective in order to optically encode the axial information within a single two-dimensional image. The object's depth map is calculated using a novel approach based on the power cepstrum of the image. The in-plane RGB image information is restored with an extended depth of focus by applying an adaptedWiener filter. The presented approach is tested experimentally by estimating the three-dimensional distribution of an extended passively illuminated scene.