Modal-based phase retrieval using Gaussian radial basis functions

Pieter Piscaer, A. Gupta, O. Soloviev, M. Verhaegen

Research output: Contribution to journalArticleScientificpeer-review

7 Citations (Scopus)
126 Downloads (Pure)


In this paper, we propose the use of Gaussian radial basis functions (GRBFs) to model the generalized pupil function for phase retrieval. The selection of the GRBF hyper-parameters is analyzed to achieve an increased accuracy of approximation. The performance of the GRBF-based method is compared in a simulation study with another modal-based approach considering extended Nijboer–Zernike (ENZ) polynomials. The almost local character of the GRBFs makes them a much more flexible basis with respect to the pupil geometry. It has been shown that for aberrations containing higher spatial frequencies, the GRBFs outperform ENZ polynomials significantly, even on a circular pupil. Moreover, the flexibility has been demonstrated by considering the phase retrieval problem on an annular pupil.

Original languageEnglish
Pages (from-to)1233-1242
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number7
Publication statusPublished - 2018


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