Statistics of the derivatives of complex signal derived from Riesz transform and its application to pseudo-Stokes vector correlation for speckle displacement measurement

Shun Zhang, Yi Yang, Steen Grüner Hanson, Mitsuo Takeda, Wei Wang

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    As an improvement of the well-known intensity correlation used in conventional electronic speckle photography, we have proposed a new technique, to the best of our knowledge, for displacement measurement referred to as pseudo-Stokes vector correlation (PSVC). To provide a theoretical background for the superiority of the proposed PSVC technique, we study the statistical properties of the spatial derivatives of the complex signal representation generated from the Riesz transform. Under the assumption of a Gaussian random process, a theoretical analysis for the pseudo Stokes vector correlation has been provided. Based on these results, we show mathematically that PSVC has a performance advantage over conventional intensity-based correlation technique.
    Original languageEnglish
    JournalApplied Optics
    Volume54
    Issue number28
    Pages (from-to)8561-8565
    ISSN1559-128X
    DOIs
    Publication statusPublished - 2015

    Keywords

    • OPTICS
    • PATTERN
    • REPRESENTATION
    • PHOTOGRAPHY
    • ACCURACY

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