Recovery guarantees for low-count Poisson and Bernoulli phase retrieval

Sjoerd Dirksen, Felix Krahmer, Patricia Römer, Palina Salanevich

Session: General

Keywords: phase retrieval, spectral method, low-dose imaging, Poisson noise, quantized measurements

Abstract: In low-dose microscopy, noisy phaseless measurements can be modeled as Poisson or Bernoulli random variables. In this paper, we propose a spectral method for this phase retrieval setup and derive reconstruction guarantees for both noise models with Gaussian measurements. Furthermore, we study how the reconstruction error depends on the radiation dose used for the measurements and on the oversampling ratio.

Submission Number: 73