Simple, flexible, and accurate phase retrieval method for generalized phase-shifting interferometry

Kohei Yatabe, Kenji Ishikawa, Yasuhiro Oikawa

    Research output: Contribution to journalArticle

    32 Citations (Scopus)

    Abstract

    This paper presents a non-iterative phase retrieval method from randomly phase-shifted fringe images. By combining the hyperaccurate least squares ellipse fitting method with the subspace method (usually called the principal component analysis), a fast and accurate phase retrieval algorithm is realized. The proposed method is simple, flexible, and accurate. It can be easily coded without iteration, initial guess, or tuning parameter. Its flexibility comes from the fact that totally random phase-shifting steps and any number of fringe images greater than two are acceptable without any specific treatment. Finally, it is accurate because the hyperaccurate least squares method and the modified subspace method enable phase retrieval with a small error as shown by the simulations. A MATLAB code, which is used in the experimental section, is provided within the paper to demonstrate its simplicity and easiness.

    Original languageEnglish
    Pages (from-to)87-96
    Number of pages10
    JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
    Volume34
    Issue number1
    DOIs
    Publication statusPublished - 2017 Jan 1

    Fingerprint

    Interferometry
    Principal component analysis
    MATLAB
    retrieval
    interferometry
    Tuning
    ellipses
    least squares method
    principal components analysis
    iteration
    flexibility
    tuning
    simulation

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Atomic and Molecular Physics, and Optics
    • Computer Vision and Pattern Recognition

    Cite this

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