ADMM and spectral proximity operators in hyperspectral broadband phase retrieval for quantitative phase imaging

Vladimir Katkovnik, Igor Shevkunov, Karen O. Egiazarian

Abstract: Highlights•A novel formulation and novel algorithm based on complex domain version of ADMM are presented for hyperspectral broadband phase retrieval.•The new proximity operators are derived for hyperspectral phase retrieval from Gaussian and Poissonian observations.•The algorithm’s validity is confirmed by simulation tests and by processing data of real physical experiments.