Hyper ellipse fitting in subspace method for phase-shifting interferometry: Practical implementation with automatic pixel selection

Kohei Yatabe, Kenji Ishikawa, Yasuhiro Oikawa

    Research output: Contribution to journalArticle

    18 Citations (Scopus)


    This paper presents a method of significantly improving the previously proposed simple, flexible, and accurate phase retrieval algorithm for the random phase-shifting interferometry named HEFS [K. Yatabe, J. Opt. Soc. Am. A 34, 87 (2017)]. Although its e ectiveness and performance were confirmed by numerical experiments in the original paper, it is found that the algorithm may not work properly if observed fringe images contains untrusted (extremely noisy) pixels. In this paper, a method of avoiding such untrusted pixels within the estimation processes of HEFS is proposed for the practical use of the algorithm. In addition to the proposal, an experiment of measuring a sound field in air was conducted to show the performance for real data, where the proposed improvement is critical for that situation. MATLAB codes (which can be downloaded from http://goo.gl/upcsFe) are provided within the paper to aid understanding the main concept of the proposed methods.

    Original languageEnglish
    Pages (from-to)29401-29416
    Number of pages16
    JournalOptics Express
    Issue number23
    Publication statusPublished - 2017 Nov 13


    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

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