Robust phase-unwrapping algorithm with a spatial binary-tree image decomposition.

The search for fast and robust phase-unwrapping algorithms remains an important problem in the development of real-time interferometric systems. Our phase-unwrapping approach uses a spatial binary-tree image decomposition to permit maximum parallelism in implementation. At each node in the tree structure, a single unwrapping decision is made between two image blocks. The unwrapping rule is derived from a statistical-estimation framework. Specifically, a maximum-likelihood estimate of the demodulation term is used. This term can be viewed as that which minimizes a discontinuity-penalizing cost function. We show that the algorithm exhibits a high level of robustness. Quantitative measures of performance are provided, and many phase maps are shown for subjective evaluation.

[1]  Richard Szeliski,et al.  Motion Estimation with Quadtree Splines , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  J. M. Huntley Noise-immune phase unwrapping algorithm. , 1989, Applied optics.

[3]  Mark D. Pritt,et al.  Phase unwrapping by means of multigrid techniques for interferometric SAR , 1996, IEEE Trans. Geosci. Remote. Sens..

[4]  David R. Burton,et al.  Data validation techniques in a tiled phase unwrapping algorithm , 1994 .

[5]  Louis A. Romero,et al.  Minimum Lp-norm two-dimensional phase unwrapping , 1996 .

[6]  Joseph M. Francos,et al.  Model based phase unwrapping of 2-D signals , 1996, IEEE Trans. Signal Process..

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

[8]  Peter Strobach,et al.  Quadtree-structured recursive plane decomposition coding of images , 1991, IEEE Trans. Signal Process..

[9]  Gary H. Glover,et al.  Phase unwrapping of MR phase images using Poisson equation , 1995, IEEE Trans. Image Process..

[10]  D R Burton,et al.  Robust, simple, and fast algorithm for phase unwrapping. , 1996, Applied optics.

[11]  Zhi-Pei Liang,et al.  A model-based method for phase unwrapping , 1996, IEEE Trans. Medical Imaging.

[12]  Jeffrey J. Gierloff Phase Unwrapping By Regions , 1987, Optics & Photonics.

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

[14]  Mark D. Pritt,et al.  Least-squares two-dimensional phase unwrapping using FFT's , 1994, IEEE Trans. Geosci. Remote. Sens..

[15]  Wim De Pauw Multitrees with internal storage , 1993, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[16]  T. R. Judge,et al.  A review of phase unwrapping techniques in fringe analysis , 1994 .