Investigation to realize a computationally efficient implementation of the high-order instantaneous-moments-based fringe analysis method

Sai Siva Gorthi; G. Rajshekhar; Pramod Kumar Rastogi

doi:10.1117/1.3454376

1 June 2010 Investigation to realize a computationally efficient implementation of the high-order instantaneous-moments-based fringe analysis method

Sai Siva Gorthi, G. Rajshekhar, Pramod Kumar Rastogi

Author Affiliations +

Optical Engineering, Vol. 49, Issue 6, 065802 (June 2010). https://doi.org/10.1117/1.3454376

Abstract

Recently, a high-order instantaneous moments (HIM)-operator-based method was proposed for accurate phase estimation in digital holographic interferometry. The method relies on piece-wise polynomial approximation of phase and subsequent evaluation of the polynomial coefficients from the HIM operator using single-tone frequency estimation. The work presents a comparative analysis of the performance of different single-tone frequency estimation techniques, like Fourier transform followed by optimization, estimation of signal parameters by rotational invariance technique (ESPRIT), multiple signal classification (MUSIC), and iterative frequency estimation by interpolation on Fourier coefficients (IFEIF) in HIM-operator-based methods for phase estimation. Simulation and experimental results demonstrate the potential of the IFEIF technique with respect to computational efficiency and estimation accuracy.

©(2010) Society of Photo-Optical Instrumentation Engineers (SPIE)

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Sai Siva Gorthi, G. Rajshekhar, and Pramod Kumar Rastogi "Investigation to realize a computationally efficient implementation of the high-order instantaneous-moments-based fringe analysis method," Optical Engineering 49(6), 065802 (1 June 2010). https://doi.org/10.1117/1.3454376

Published: 1 June 2010

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