Information content per photon versus image fidelity in three-dimensional photon-counting integral imaging

Area of Science:

• Photon-counting integral imaging
• Information theory
• 3D imaging

Background:

• Photon-counting integral imaging (PCII) enables 3D sensing in low-light conditions.
• PCII applications include visualization, recognition, and classification.
• Conventional imaging requires significantly more photons for similar tasks.

Purpose of the Study:

• To elucidate the information-theoretic foundation of PCII's efficiency.
• To formulate and investigate a metric for photon-information content in 3D PCII.
• To analyze the trade-offs in PCII performance.

Main Methods:

• Formulation of a photon-information content metric for 3D PCII.
• Investigation of the metric's properties and its relation to imaging fidelity.
• Analysis of trade-offs using entropy-normalized and photon-number-normalized mutual information.

Main Results:

• An inherent trade-off exists between imaging fidelity and photon information content.
• This trade-off is influenced by photon statistics, 3D image correlation, and signal-to-noise ratio.
• The study quantifies the information-theoretic basis for PCII's performance.

Conclusions:

• PCII offers superior performance in photon-starved environments due to its information-theoretic advantages.
• Understanding the fidelity-information trade-off is key to optimizing PCII systems.
• The developed metric provides a framework for analyzing and improving 3D photon-counting imaging.