DDRM-PR: Fourier phase retrieval using denoising diffusion restoration models

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Kaya M. O., ÖKTEM S. F.

Applied Optics, vol.64, no.5, 2025 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 64 Issue: 5
  • Publication Date: 2025
  • Doi Number: 10.1364/ao.545150
  • Journal Name: Applied Optics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, Computer & Applied Sciences, EMBASE, DIALNET
  • Open Archive Collection: AVESIS Open Access Collection
  • Middle East Technical University Affiliated: Yes

Abstract

Diffusion models have demonstrated their utility as learned priors for solving various inverse problems. However, most existing approaches are limited to linear inverse problems. This paper exploits the efficient and unsupervised posterior sampling framework of denoising diffusion restoration models (DDRMs) for the solution of nonlinear phase retrieval problems, which requires reconstructing an image from its noisy intensity-only measurements such as Fourier intensity. The approach combines the model-based alternating-projection methods with the DDRM to utilize pretrained unconditional diffusion priors for phase retrieval. The performance is demonstrated through both simulations and experimental data. The results demonstrate the potential of this approach for improving the alternating-projection methods as well as its limitations.