Generalized least squares approach to compute displacements, strains and rotations from combined single and/or double illumination holographic interferometry

Armando Albertazzi Jr.

doi:10.1117/12.172583

1 March 1994 Generalized least squares approach to compute displacements, strains and rotations from combined single and/or double illumination holographic interferometry

Armando Albertazzi Jr.

Author Affiliations +

Proceedings Volume 2004, Interferometry VI: Applications; (1994) https://doi.org/10.1117/12.172583
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

This paper presents a generalized approach to simultaneously compute displacements and its derivatives from a combined single and double illumination setup. If more than three independent illumination sets are used, the redundant data is reduced through a least squares approach. This paper also presents a generalized way to compute an equivalent measurement efficiency coefficient to express how much a specific combined setup is sensitive to each displacement component and also to estimate its random error level. By using this coefficient, one can easily optimize a holographic setup for any particular application just playing with the positioning and the number of illumination points. Both mathematical derivation and analysis and a practical example are presented in this paper.

Citation Download Citation

Armando Albertazzi Jr. "Generalized least squares approach to compute displacements, strains and rotations from combined single and/or double illumination holographic interferometry", Proc. SPIE 2004, Interferometry VI: Applications, (1 March 1994); https://doi.org/10.1117/12.172583

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