Abstract

We report a technique for direct phase derivative estimation from a single recording of a complex interferogram. In this technique, the interference field is represented as an autoregressive model with spatially varying coefficients. Estimates of these coefficients are obtained using the Kalman filter implementation. The Rauch–Tung–Striebel smoothing algorithm further improves the accuracy of the coefficient estimation. These estimated coefficients are utilized to compute the spatially varying phase derivative. Stochastic evolution of the coefficients is considered, which allows estimating the phase derivative with any type of spatial variation. The simulation and experimental results are provided to substantiate the noise robustness and applicability of the proposed method in phase derivative estimation.

© 2015 Optical Society of America

Two-frame tilt-shift error estimation and phase demodulation algorithm

Maciek Wielgus, Zofia Sunderland, and Krzysztof Patorski
Opt. Lett. 40(15) 3460-3463 (2015)

Phase unwrapping algorithm using polynomial phase approximation and linear Kalman filter

Rishikesh Kulkarni and Pramod Rastogi
Appl. Opt. 57(4) 702-708 (2018)

Estimation of phase derivatives using discrete energy separation algorithm in digital holographic interferometry

Rishikesh Kulkarni and Pramod Rastogi
Opt. Lett. 39(13) 3722-3724 (2014)

Demodulation of a single-image interferogram using a Zernike-polynomial-based phase-fitting technique with a differential evolution algorithm

Chao Tian, Yongying Yang, Tao Wei, Tong Ling, and Yongmo Zhuo
Opt. Lett. 36(12) 2318-2320 (2011)

Simultaneous estimation of phase and phase derivative using a difference equation representation of the interference field

Rishikesh Kulkarni and Pramod Rastogi
J. Opt. Soc. Am. A 31(9) 1919-1922 (2014)