Enhanced phase unwrapping algorithm based on unscented Kalman filter, enhanced phase gradient estimator, and path-following strategy.

This paper presents an enhanced phase unwrapping algorithm by combining an unscented Kalman filter, an enhanced local phase gradient estimator based on an amended matrix pencil model, and a path-following strategy. This technology is able to accurately unwrap seriously noisy wrapped phase images by applying the unscented Kalman filter to simultaneously perform noise suppression and phase unwrapping along the path from the high-quality region to the low-quality region of the wrapped phase images. Results obtained with synthetic data and real data validate the effectiveness of the proposed method and show improved performance of this new algorithm with respect to some of the most used algorithms.

[1]  Mario Costantini,et al.  A novel phase unwrapping method based on network programming , 1998, IEEE Trans. Geosci. Remote. Sens..

[2]  Yuangang Lu,et al.  Weighted least-squares phase unwrapping algorithm based on derivative variance correlation map , 2007 .

[3]  Yu-Lung Lo,et al.  Integration of robust filters and phase unwrapping algorithms for image reconstruction of objects containing height discontinuities. , 2012, Optics express.

[4]  Qun Zhao,et al.  Unwrapping magnetic resonance phase maps with Chebyshev polynomials. , 2009, Magnetic resonance imaging.

[5]  Yingbo Hua Estimating two-dimensional frequencies by matrix enhancement and matrix pencil , 1992, IEEE Trans. Signal Process..

[6]  Michael Braun,et al.  Two-dimensional phase unwrapping using a minimum spanning tree algorithm , 1992, IEEE Trans. Image Process..

[7]  Thomas J. Flynn,et al.  TWO-DIMENSIONAL PHASE UNWRAPPING WITH MINIMUM WEIGHTED DISCONTINUITY , 1997 .

[8]  Daniel E. Wahl,et al.  Improved SAR interferometric processing using local phase-slope correction , 2004, SPIE Defense + Commercial Sensing.

[9]  Tomás Martínez-Marín,et al.  A Particle Filter Approach for InSAR Phase Filtering and Unwrapping , 2009, IEEE Transactions on Geoscience and Remote Sensing.

[10]  Igor P. Gurov,et al.  Interference fringe analysis based on recurrence computational algorithms , 2012 .

[11]  G Rajshekhar,et al.  Strain estimation in digital holographic interferometry using piecewise polynomial phase approximation based method. , 2010, Optics express.

[12]  Huaying Wang,et al.  Improvement of phase unwrapping algorithm based on image segmentation and merging , 2013 .

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

[14]  Otmar Loffeld,et al.  Phase Unwrapping for SAR Interferometry—A Data Fusion Approach by Kalman Filtering , 2008, IEEE Transactions on Geoscience and Remote Sensing.

[15]  Umberto Spagnolini,et al.  2-D phase unwrapping and instantaneous frequency estimation , 1995, IEEE Trans. Geosci. Remote. Sens..

[16]  Yiming Pi,et al.  Phase noise filtering and phase unwrapping method based on unscented Kalman filter , 2011 .

[17]  Louis A. Romero,et al.  Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods , 1994 .

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

[19]  X Xianming,et al.  Multi-baseline phase unwrapping algorithm based on the unscented kalman filter , 2011 .

[20]  Guotian He,et al.  Phase unwrapping based on branch cut placing and reliability ordering , 2005 .

[21]  Giorgio Franceschetti,et al.  Interferometric SAR phase unwrapping using Green's formulation , 1996, IEEE Trans. Geosci. Remote. Sens..

[22]  Jeffrey K. Uhlmann,et al.  Unscented filtering and nonlinear estimation , 2004, Proceedings of the IEEE.

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

[24]  Otmar Loffeld,et al.  Phase Unwrapping using 2D-Kalman Filter - Potential and Limitations , 2008, IGARSS 2008 - 2008 IEEE International Geoscience and Remote Sensing Symposium.

[25]  Rudolph van der Merwe,et al.  The unscented Kalman filter for nonlinear estimation , 2000, Proceedings of the IEEE 2000 Adaptive Systems for Signal Processing, Communications, and Control Symposium (Cat. No.00EX373).

[26]  Justo Arines Least-squares modal estimation of wrapped phases: application to phase unwrapping. , 2003, Applied optics.

[27]  G H Kaufmann,et al.  Evaluation of a preconditioned conjugate-gradient algorithm for weighted least-squares unwrapping of digital speckle-pattern interferometry phase maps. , 1998, Applied optics.

[28]  C De Veuster,et al.  Disk-growing algorithm for phase-map unwrapping: application to speckle interferograms. , 1996, Applied optics.

[29]  C. Werner,et al.  Satellite radar interferometry: Two-dimensional phase unwrapping , 1988 .

[30]  Lei Meng,et al.  Quality-guided phase unwrapping algorithm based on reliability evaluation. , 2011, Applied optics.

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

[32]  Wei Xu,et al.  A region-growing algorithm for InSAR phase unwrapping , 1999, IEEE Trans. Geosci. Remote. Sens..

[33]  Shimon Wdowinski,et al.  On the importance of path for phase unwrapping in synthetic aperture radar interferometry. , 2011, Applied optics.

[34]  Henri Maître,et al.  Improving phase unwrapping techniques by the use of local frequency estimates , 1998, IEEE Trans. Geosci. Remote. Sens..