Uniqueness theorems for tomographic phase retrieval with few coded diffraction patterns

DOI10.1088/1361-6420/ac77b0OpenAlexW4281693802WikidataQ113824843 ScholiaQ113824843MaRDI QIDQ5089408

Albert C. Fannjiang

Publication date: 19 July 2022

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.14726

zbMATH Keywords

uniquenessdiscrete tomographyphase retrievalcoded diffraction pattern

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Biomedical imaging and signal processing (92C55) Diffraction, scattering (78A45) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Inverse problems for integral equations (45Q05) Electron optics (78A15)

Related Items

3D tomographic phase retrieval and unwrapping

Cites Work

• Unnamed Item
• TV-min and greedy pursuit for constrained joint sparsity and application to inverse scattering
• Random sampling of bandlimited functions
• 3D discrete X-ray transform
• The Mathematics of Computerized Tomography
• Mathematical Foundations of Imaging, Tomography and Wavefield Inversion
• Absolute uniqueness of phase retrieval with random illumination
• Integral Geometry and Radon Transforms
• The reconstruction of a multidimensional sequence from the phase or magnitude of its Fourier transform
• Nonuniform Sampling of Periodic Bandlimited Signals
• Beyond Nyquist: Efficient Sampling of Sparse Bandlimited Signals
• Sparsity and incoherence in compressive sampling
• The numerics of phase retrieval

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