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)

    Abstract

    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
    Volume25
    Issue number23
    DOIs
    Publication statusPublished - 2017 Nov 13

    Fingerprint

    ellipses
    interferometry
    pixels
    sound fields
    retrieval
    proposals
    air

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

    Cite this

    Hyper ellipse fitting in subspace method for phase-shifting interferometry : Practical implementation with automatic pixel selection. / Yatabe, Kohei; Ishikawa, Kenji; Oikawa, Yasuhiro.

    In: Optics Express, Vol. 25, No. 23, 13.11.2017, p. 29401-29416.

    Research output: Contribution to journalArticle

    @article{1820a35a34744ed1ad5c8406ed9f2909,
    title = "Hyper ellipse fitting in subspace method for phase-shifting interferometry: Practical implementation with automatic pixel selection",
    abstract = "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.",
    author = "Kohei Yatabe and Kenji Ishikawa and Yasuhiro Oikawa",
    year = "2017",
    month = "11",
    day = "13",
    doi = "10.1364/OE.25.029401",
    language = "English",
    volume = "25",
    pages = "29401--29416",
    journal = "Optics Express",
    issn = "1094-4087",
    publisher = "The Optical Society",
    number = "23",

    }

    TY - JOUR

    T1 - Hyper ellipse fitting in subspace method for phase-shifting interferometry

    T2 - Practical implementation with automatic pixel selection

    AU - Yatabe, Kohei

    AU - Ishikawa, Kenji

    AU - Oikawa, Yasuhiro

    PY - 2017/11/13

    Y1 - 2017/11/13

    N2 - 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.

    AB - 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.

    UR - http://www.scopus.com/inward/record.url?scp=85033606219&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=85033606219&partnerID=8YFLogxK

    U2 - 10.1364/OE.25.029401

    DO - 10.1364/OE.25.029401

    M3 - Article

    AN - SCOPUS:85033606219

    VL - 25

    SP - 29401

    EP - 29416

    JO - Optics Express

    JF - Optics Express

    SN - 1094-4087

    IS - 23

    ER -