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Stochastic Multigrid Method for Blind Ptychographic Phase Retrieval

Published: November 3, 2025 | arXiv ID: 2511.01793v1

By: Borong Zhang , Junjing Deng , Yi Jiang and more

Potential Business Impact:

Makes blurry images sharp and clear.

Business Areas:
Indoor Positioning Navigation and Mapping

We present eMAGPIE (extended Multilevel-Adaptive-Guided Ptychographic Iterative Engine), a stochastic multigrid method for blind ptychographic phase retrieval that jointly recovers the object and the probe. We recast the task as the iterative minimization of a quadratic surrogate that majorizes the exit-wave misfit. From this surrogate, we derive closed-form updates, combined in a geometric-mean, phase-aligned joint step, yielding a simultaneous update of the object and probe with guaranteed descent of the sampled surrogate. This formulation naturally admits a multigrid acceleration that speeds up convergence. In experiments, eMAGPIE attains lower data misfit and phase error at comparable compute budgets and produces smoother, artifact-reduced phase reconstructions.

Country of Origin
πŸ‡ΊπŸ‡Έ United States

Page Count
16 pages

Category
Mathematics:
Numerical Analysis (Math)