Stable Ptychographic Phase Retrieval via Lost Subspace Completion

Melnyk, Oleh; Forstner, Anton; Krahmer, Felix; Sissouno, Nada

doi:10.23919/eusipco47968.2020.9287808

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“…In this paper, we address this issue proposing a strategy that allows for recovery even in the case of singularities. Note that parts of our results have already been announced in a conference paper [39].…”

Section: Overview Of Related Workmentioning

confidence: 80%

Well-conditioned ptychographic imaging via lost subspace completion

Forstner¹,

Krahmer²,

Melnyk³

et al. 2020

Inverse Problems

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Ptychography, a special case of the phase retrieval problem, is a popular method in modern imaging. Its measurements are based on the shifts of a locally supported window function. In general, direct recovery of an object from such measurements is known to be an ill-posed problem. Although for some windows the conditioning can be controlled, for a number of important cases it is not possible, for instance for Gaussian windows. In this paper we develop a subspace completion algorithm, which enables stable reconstruction for a much wider choice of windows, including Gaussian windows. The combination with a regularization technique leads to improved conditioning and better noise robustness.

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Section: Overview Of Related Workmentioning

confidence: 80%