Dual-Reference Design for Holographic Coherent Diffraction Imaging
This work addresses imaging quality issues in holographic coherent diffraction imaging for researchers in computational imaging, though it appears incremental as it builds on existing single-reference schemes.
The paper tackles the problem of holographic coherent diffraction imaging by introducing a dual-reference design with block and pinhole regions, which synergizes to achieve uniformly superior performance over single-reference schemes, as confirmed by numerical experiments showing smaller recovery error.
A new reference design is introduced for holographic coherent diffraction imaging. This consists in two references - "block" and "pinhole" shaped regions - placed adjacent to the imaging specimen. An efficient recovery algorithm is provided for the resulting holographic phase retrieval problem, which is based on solving a structured, overdetermined linear system. Analysis of the expected recovery error on noisy data, which is contaminated by Poisson shot noise, shows that this simple modification synergizes the individual references and hence leads to uniformly superior performance over single-reference schemes. Numerical experiments on simulated data confirm the theoretical prediction, and the proposed dual-reference scheme achieves a smaller recovery error than leading single-reference schemes.