Development and assessment of a single-image fringe projection method for dynamic applications

Tetsushi Kinugasa, Takanori Sakaguchi, Xuibin Gu, Hans Christian Reinecker

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


A single-image fringe projection profiling method suitable for dynamic applications was developed by combining an accurate camera calibration procedure and improved phase extraction procedures. The improved phase extraction process used a modified Hilbert transform with Laplacian pyramid algorithms to improve measurements accuracy. The camera calibration method used an accurate pinhole camera model and pixel-by-pixel calibration of the phase-height relationship. Numerical simulations and controlled baseline experiments were performed to quantify key error sources in the measurement process and verify the accuracy of the approach. Results from numerical simulations indicate that the resulting phase error can be reduced to less than 0.02 radians provided that parameters such as fringe spacing, random measured intensity noise, fringe contrast and frequency of spatial intensity noise are carefully controlled. Experimental results show that the effects of random temporal and spatial noise in typical CCD cameras for single fringe images limits the accuracy of the method to 0.04 radians in most applications. Quantitative results from application of the fringe projection method are in very good agreement with numerical predictions, demonstrating that it is possible to design both a fringe projection system and a measurement process to achieve a prespecified accuracy and resolution in the point-to-point measurement of the spatial (X, Y, Z) positions.

Original languageEnglish (US)
Pages (from-to)205-217
Number of pages13
JournalExperimental Mechanics
Issue number3
StatePublished - Sep 2001
Externally publishedYes


  • Camera calibration
  • Fringe extraction
  • Hilbert transform
  • Laplacian pyramid
  • Profile measurement
  • Single-image fringe projection

ASJC Scopus subject areas

  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering


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