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Applied Optics

Applied Optics


  • Vol. 42, Iss. 23 — Aug. 10, 2003
  • pp: 4765–4771

The projection diagram

Mikaya Muramatsu, Patricia Torroba, Nelly Cap, and Hector Rabal  »View Author Affiliations

Applied Optics, Vol. 42, Issue 23, pp. 4765-4771 (2003)

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We describe a diagram, named the projection diagram (PD), that can be used for the interpretation of fringe projection operations in a similar way as the Holodiagram is used in holography and other branches in optics. It is obtained as a Moiré pattern between two spoke targets that mimic central projections, the same as those in a projection and observation system or two projection systems. N. Abramson [Academic, London (1981)] has already proposed its use in systems with two observation points (i.e., stereoscopic observation). By using this PD, several interesting features dealing with fringe projection are highlighted. Information on the sensitivity vector and the geometry of the contouring surfaces can be straightforwardly obtained in a graphical way. The effect of defocusing can also be included in the diagram.

© 2003 Optical Society of America

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.4120) Instrumentation, measurement, and metrology : Moire' techniques

Original Manuscript: June 25, 2002
Published: August 10, 2003

Mikaya Muramatsu, Patricia Torroba, Nelly Cap, and Hector Rabal, "The projection diagram," Appl. Opt. 42, 4765-4771 (2003)

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  1. N. Abramson, The Making and Evaluation of Holograms (Academic, London, 1981), Chap. 3, pp. 70–74.
  2. P. S. Wang, Q. Hu, F. Jin, “Color-encoded digital fringe projection technique for high-speed three-dimensional surface contouring,” Opt. Eng. 38, 1065–1171 (1999). [CrossRef]
  3. X. Peng, S. M. Zhu, C. J. Su, M. M. Tseng, “Model-based digital moiré topography,” Optik (Stuttgart) 110, 184–190 (1999).
  4. A review of incoherent techniques including fringes projection can be found in Opt. Eng., July–August21, (1982).
  5. N. Abramson, “The Holodiagram, a practical device for making and evaluating holograms,” Appl. Opt. 8, 1235–1240 (1969). [CrossRef] [PubMed]
  6. N. Abramson, Light in Flight, or the Holodiagram: Columbi Egg of Optics, (SPIE Optical Engineering Press, Bellingham, Wash., 1996).
  7. G. Baldwin, F. De Zela, H. Rabal, “Refraction holodiagrams,” Optik (Stuttgart) 112, 555–560 (2001). [CrossRef]
  8. H. Rabal, “The Holodiagram with Virtual Sources,” Optik (Stuttgart) 112, 487–492 (2001). [CrossRef]
  9. Alan J. MacGovern, “Projected fringes and holography,” Appl. Opt. 11, 2972–2974 (1972). [CrossRef] [PubMed]
  10. P. Theokaris, Moiré Fringes in Strain Analysis (Pergamon, London, 1969), pp. 123–127.
  11. G. Oster, The Science of Moiré Patterns (Edmund Scientific Co., Tonawanda, N.Y., 1969), p. 28.
  12. Ref. 11, pp. 23 and 38.
  13. For a description of the horopter see, for example, B. Julesz, Foundations of Cyclopean Perception (University of Chicago, Chicago, 1971), pp. 144–146.
  14. L. Pirodda, “Shadow and projection moiré techniques for absolute or relative mapping of surface shapes,” Opt. Eng. 21, 640–649 (1982). [CrossRef]
  15. P. Torroba, N. Cap, H. Rabal, “Correction of defocusing using structured illumination,” Optik (Stuttgart) 108, 68–77 (1998).

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