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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