Analytical form of the refocused images from correlation plenoptic imaging

Area of Science:

• Optics and Photonics
• Computational Imaging

Background:

• Traditional light-field imaging (LFI) uses micro-lens arrays, limiting resolution for 3D scene reconstruction.
• Correlation plenoptic imaging (CPI) is an emerging lenslet-free alternative for LFI.

Purpose of the Study:

• To derive the analytical expression for CPI images reconstructed via refocusing.
• To elucidate the mathematical relationship between object shape and CPI image formation.
• To compare CPI's optical performance with conventional imaging.

Main Methods:

• CPI measures spatial photon number correlations on two photodetectors.
• Image reconstruction is performed through post-processing of the correlation function.
• Analytical expressions for refocused CPI images were derived.

Main Results:

• Refocused CPI images are not subject to numerical aperture-induced blurring.
• The image features in CPI can be understood using an analogy with spatially coherent illumination.
• A clear mathematical relationship between object shape and image was established.

Conclusions:

• CPI provides a lenslet-free approach to high-resolution light-field imaging.
• The derived analytical expressions enhance understanding of CPI image formation.
• CPI demonstrates superior performance over conventional LFI in terms of resolution.