ArticleNew journal of physics2015
Solving ptychography with a convex relaxation.
Article in New journal of physics, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed.
- Many photonic design problems are sparse QCQPs.Science advances · 2025Article
- Variable Splitting and Fusing for Image Phase Retrieval.Journal of imaging · 2024Article
- Optical ptychography for biomedical imaging: recent progress and future directions [Invited].Biomedical optics express · 2023Review
- Article
- Iterative X-ray spectroscopic ptychography.Journal of applied crystallography · 2020Article
- Article
- Subsampled phase retrieval for temporal resolution enhancement in lensless on-chip holographic video.Biomedical optics express · 2017Article
- Wide-field Fourier ptychographic microscopy using laser illumination source.Biomedical optics express · 2016Article
- Motion-corrected Fourier ptychography.Biomedical optics express · 2016Article
- Diffraction tomography with Fourier ptychography.Optica · 2016Article
- Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient.Scientific reports · 2016Article
- Wide field-of-view fluorescence image deconvolution with aberration-estimation from Fourier ptychography.Biomedical optics express · 2016Article
Corrections and comments
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Authors and funding
6 authors.
Funding
Abstract
Ptychography is a powerful computational imaging technique that transforms a collection of low-resolution images into a high-resolution sample reconstruction. Unfortunately, algorithms that currently solve this reconstruction problem lack stability, robustness, and theoretical guarantees. Recently, convex optimization algorithms have improved the accuracy and reliability of several related reconstruction efforts. This paper proposes a convex formulation of the ptychography problem. This formulation has no local minima, it can be solved using a wide range of algorithms, it can incorporate appropriate noise models, and it can include multiple a priori constraints. The paper considers a specific algorithm, based on low-rank factorization, whose runtime and memory usage are near-linear in the size of the output image. Experiments demonstrate that this approach offers a 25% lower background variance on average than alternating projections, the ptychographic reconstruction algorithm that is currently in widespread use.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.