Phase calibration unwrapping algorithm for phase data corrupted by strong decorrelation speckle noise.

Robust phase unwrapping in the presence of high noise remains an open issue. Especially, when both noise and fringe densities are high, pre-filtering may lead to phase dislocations and smoothing that complicate even more unwrapping. In this paper an approach to deal with high noise and to unwrap successfully phase data is proposed. Taking into account influence of noise in wrapped data, a calibration method of the 1st order spatial phase derivative is proposed and an iterative approach is presented. We demonstrate that the proposed method is able to process holographic phase data corrupted by non-Gaussian speckle decorrelation noise. The algorithm is validated by realistic numerical simulations in which the fringe density and noise standard deviation is progressively increased. Comparison with other established algorithms shows that the proposed algorithm exhibits better accuracy and shorter computation time, whereas others may fail to unwrap. The proposed algorithm is applied to phase data from digital holographic metrology and the unwrapped results demonstrate its practical effectiveness. The realistic simulations and experiments demonstrate that the proposed unwrapping algorithm is robust and fast in the presence of strong speckle decorrelation noise.

[1]  Weimin Huang,et al.  Evaluation of robust wave image processing methods for magnetic resonance elastography , 2014, Comput. Biol. Medicine.

[2]  Shi Yuqing.  Robust phase unwrapping by spinning iteration. , 2007, Optics express.

[3]  Yimei Zhu,et al.  Deterministic phase unwrapping in the presence of noise. , 2003, Optics letters.

[4]  Lin Cong,et al.  Complex-amplitude-based phase unwrapping method for digital holographic microscopy , 2012 .

[5]  Sébastien Ourselin,et al.  Susceptibility artefact correction using dynamic graph cuts: Application to neurosurgery , 2014, Medical Image Anal..

[6]  Frederic Masson,et al.  Landslide deformation monitoring with ALOS/PALSAR imagery: A D-InSAR geomorphological interpretation method , 2015 .

[7]  Feng Chen,et al.  Phase-unwrapping algorithm for the measurement of 3D object , 2012 .

[8]  Qian Kemao.  Applications of windowed Fourier fringe analysis in optical measurement: A review , 2015 .

[9]  Mariano Rivera,et al.  Phase unwrapping by accumulation of residual maps , 2015 .

[10]  Qian Kemao,et al.  Windowed Fourier transform for fringe pattern analysis. , 2004, Applied optics.

[11]  Qican Zhang,et al.  Quality-guided phase unwrapping technique: comparison of quality maps and guiding strategies. , 2011, Applied optics.

[12]  Francisco Palacios,et al.  Adaptive filter to improve the performance of phase-unwrapping in digital holography , 2004 .

[13]  Zebin Fan,et al.  Non-invasive Mechanical Measurement for Transparent Objects by Digital Holographic Interferometry Based on Iterative Least-Squares Phase Unwrapping , 2012 .

[14]  Pinhas Girshovitz,et al.  Fast phase processing in off-axis holography using multiplexing with complex encoding and live-cell fluctuation map calculation in real-time. , 2015, Optics express.

[15]  Pascal Picart,et al.  Quantitative appraisal for noise reduction in digital holographic phase imaging. , 2016, Optics express.

[16]  Ivan Frollo,et al.  Simple and accurate unwrapping phase of MR data , 2009 .

[17]  Xianyu Su,et al.  Reliability-guided phase unwrapping algorithm: a review ☆ , 2004 .

[18]  Dong Liu,et al.  Practical phase unwrapping of interferometric fringes based on unscented Kalman filter technique. , 2015, Optics express.

[19]  Pascal Picart,et al.  Quality assessment of combined quantization-shot-noise-induced decorrelation noise in high-speed digital holographic metrology. , 2015, Optics express.

[20]  Y Liu,et al.  Path-independent phase unwrapping using phase gradient and total-variation (TV) denoising. , 2012, Optics express.

[21]  Haifeng Huang.  A fast multi-baseline and multi-frequency band phase-unwrapping algorithm , 2014 .

[22]  J. Xi,et al.  A new phase unwrapping algorithm based on Three Wavelength Phase Shift Profilometry method , 2013 .

[23]  Yu-Lung Lo,et al.  Robust detection scheme on noise and phase jump for phase maps of objects with height discontinuities--theory and experiment. , 2011, Optics express.

[24]  Feipeng Da,et al.  A fast, accurate phase unwrapping method for wavelet-transform profilometry , 2012 .

[25]  J C de Souza,et al.  Branch-cut algorithm for optical phase unwrapping. , 2015, Optics letters.

[26]  Behnam Tayebi,et al.  Large step-phase measurement by a reduced-phase triple-illumination interferometer. , 2015, Optics express.

[27]  Pascal Picart,et al.  Comparison between Digital Fresnel Holography and Digital Image-Plane Holography: The Role of the Imaging Aperture , 2012 .

[28]  J. C. Estrada,et al.  Noise robust linear dynamic system for phase unwrapping and smoothing. , 2011, Optics express.

[29]  Tao Zhang,et al.  Robust phase unwrapping algorithm based on least squares , 2014 .

[30]  Ling Xia,et al.  Sparse-Representation-Based Direct Minimum L p-Norm Algorithm for MRI Phase Unwrapping , 2014, Comput. Math. Methods Medicine.

[31]  Jin-Jung Chyou,et al.  Two-dimensional phase unwrapping with a multichannel least-mean-square algorithm. , 2004, Applied optics.

[32]  M. J. Huang,et al.  Branch cutting algorithm for unwrapping photoelastic phase map with isotropic point , 2012 .

[33]  Javier Vargas,et al.  Fast two-dimensional simultaneous phase unwrapping and low-pass filtering. , 2012, Optics express.

[34]  Yu-Lung Lo,et al.  Novel rotation algorithm for phase unwrapping applications , 2012 .