Hilbert transform algorithm for fringe-pattern evaluation

Margarita S. Gratulewicz; Valeri A. Tartakovski

doi:10.1117/12.211858

14 June 1995 Hilbert transform algorithm for fringe-pattern evaluation

Margarita S. Gratulewicz, Valeri A. Tartakovski

Proceedings Volume 2544, Interferometry VII: Techniques and Analysis; (1995) https://doi.org/10.1117/12.211858
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

The Gabor analytic signal is constructed by means of the Hilbert transform. This linear operator gives the single-valued determination of the envelope and phase of a 1D signal with the support from infinity to infinity. But the wave field has four arguments and the interferogram is a 2D function. Moreover, these functions can be measured only in a restricted domain. These problems are discussed in this paper. In addition, the errors estimation of phase recovering are considered. The results of numerical experiments on the interferogram inversion are given.

Citation Download Citation

Margarita S. Gratulewicz and Valeri A. Tartakovski "Hilbert transform algorithm for fringe-pattern evaluation", Proc. SPIE 2544, Interferometry VII: Techniques and Analysis, (14 June 1995); https://doi.org/10.1117/12.211858

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