Image processing as state reconstruction in optics

Abstract

The image reconstruction of partially coherent light is interpreted as the quantum state reconstruction. The efficient method based on maximum-likelihood estimation is proposed to acquire information from registered intensity measurements affected by noise. The connection with totally incoherent image restoration is pointed out. The feasibility of the method is demonstrated numerically. Spatial and correlation details significantly smaller than the diffraction limit are revealed in the reconstructed pattern.

10 pages, 5 figures

References in corpus (6)

• Quantum state reconstruction of the single-photon Fock state
• Iterative maximum-likelihood reconstruction in quantum homodyne tomography
• Quantum inference of states and processes
• Remote preparation of a single-mode photonic qubit by measuring field quadrature noise
• Invariant information and quantum state estimation
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Cited by in corpus (4)

• Subdiffraction incoherent optical imaging via spatial-mode demultiplexing
• Quantum Semiparametric Estimation
• Semiclassical Theory of Superresolution for Two Incoherent Optical Point Sources
• Entropic uncertainty relations for electromagnetic beams