Undersampled Phase Retrieval with Image Priors

Stanislas Ducotterd, Zhiyuan Hu, Michael Unser, Jonathan Dong
9/18/2025
eess.IVcs.LG

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Abstract

Phase retrieval seeks to recover a complex signal from amplitude-only measurements, a challenging nonlinear inverse problem. Current theory and algorithms often ignore signal priors. By contrast, we evaluate here a variety of image priors in the context of severe undersampling with structured random Fourier measurements. Our results show that those priors significantly improve reconstruction, allowing accurate reconstruction even below the weak recovery threshold.

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Cite this paper

@article{ducotterd2025undersampled,
  title  = {Undersampled Phase Retrieval with Image Priors},
  author = {Stanislas Ducotterd and Zhiyuan Hu and Michael Unser and Jonathan Dong},
  year   = {2025},
  eprint = {2509.15026},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2509.15026v1}
}

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