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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 31, Iss. 25 — Sep. 1, 1992
  • pp: 5320–5325

Phase-step interferometry of irregular shapes by using an edge-following algorithm

Karl A. Stetson  »View Author Affiliations


Applied Optics, Vol. 31, Issue 25, pp. 5320-5325 (1992)
http://dx.doi.org/10.1364/AO.31.005320


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Abstract

This paper presents a method for organizing computations in phase-step interferometry for irregular shapes that is straightforward to program. In addition to data files, which are recorded with incremental phase steps between the interfering beams, this method requires a mask file where the valid pixels can be distinguished from invalid pixels. For example, they may lie above a known threshold. By means of a simple edge-following routine, the program moves around the perimeter of the undone portion of the shape, doing the phase calculations and changing the mask pixels to mark them done. This allows the program to move contiguously from pixels that have been done to those that have not. Modulo 2π ambiguities are avoided by computing the phase differences between neighboring pixels and summing them to obtain individual pixel values.

© 1992 Optical Society of America

History
Original Manuscript: January 6, 1991
Published: September 1, 1992

Citation
Karl A. Stetson, "Phase-step interferometry of irregular shapes by using an edge-following algorithm," Appl. Opt. 31, 5320-5325 (1992)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-31-25-5320


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References

  1. K. Creath, “Phase-measurement interferometry techniques,” in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1988), pp. 349–393. [CrossRef]
  2. K. A. Stetson, W. R. Brohinsky, “Fringe-shifting technique for numerical analysis of time-average holograms of vibrating objects,” J. Opt. Soc. Am. A 5, 1472–1476 (1988). [CrossRef]
  3. R. J. Prypucniewicz, K. A. Stetson, “Measurement of vibration patterns using electro-optic holography,” in Laser Interferometry. Quantitative Analysis of Interferograms, R. J. Prypucniewicz, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1162, 456–467 (1989).
  4. W. Osten, R. Höfling, “The inverse modulo process is automatic fringe analysis—problems and approaches,” in Proceedings of the Society for Experimental Mechanics Conference on Hologram Interferometry and Speckle Metrology (Society for Experimental Mechanics, Bethel, Conn., 1990), pp. 301–309.
  5. K. A. Stetson, “An electronic system for real-time display and quantitative analysis of hologram interference fringes,” Proc. Laser Inst. Am. 70, 78–85 (1989).

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