Phase unwrapping through least-squares approximation

The problem of phase unwrapping in elevation estimation using interferometric synthetic aperture radar images is approached through the detection of fringe line positions. The position of each fringe line is estimated by fitting the corresponding enhanced phase transition region with a series of basis functions, the coefficients of which are obtained through weighted least squares estimation. The algorithm is applied to a pair of SEASAT SAR images over mountainous terrain. Cosine functions and linear splines are used as the basis functions, and results show the proposed phase unwrapping algorithm can successfully eliminate global errors and reduce local errors.

[1]  K. Knox.  Image retrieval from astronomical speckle patterns , 1976 .

[2]  G. N. Ramachandran,et al.  Fourier methods in crystallography , 1970 .

[3]  H. Takajo,et al.  Least-squares phase estimation from the phase difference , 1988 .

[4]  Howard A. Zebker,et al.  Topography Estimation With Interferometric Synthetic Aperture Radar Using Fringe Detection , 1991, [Proceedings] IGARSS'91 Remote Sensing: Global Monitoring for Earth Management.

[5]  L. B. Lesem,et al.  The kinoform: a new wavefront reconstruction device , 1969 .

[6]  A.V. Oppenheim,et al.  The importance of phase in signals , 1980, Proceedings of the IEEE.

[7]  Peter Lancaster,et al.  Curve and surface fitting - an introduction , 1986 .

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

[9]  James R. Fienup,et al.  Phase-retrieval stagnation problems and solutions , 1986 .

[10]  R. Goldstein,et al.  Crossed orbit interferometry: theory and experimental results from SIR-B , 1988 .

[11]  A. Metherell,et al.  Acoustical holograms using phase information only. , 1969, Applied optics.

[12]  L Crescentini,et al.  Automatic fringe recognition and detection of subwavelength phase perturbations with a Michelson interferometer. , 1988, Applied optics.

[13]  William H. Press,et al.  Numerical recipes , 1990 .

[14]  D W Robinson.  Automatic fringe analysis with a computer image-processing system. , 1983, Applied optics.

[15]  José Tribolet,et al.  A new phase unwrapping algorithm , 1977 .

[16]  G. N. Ramachandran,et al.  An Apparent Paradox in Crystal Structure Analysis , 1961, Nature.

[17]  F. Rocca,et al.  Seismic Migration For Sar Focusing: Interferometrical Applications , 1990 .

[18]  M. Nieto-Vesperinas,et al.  Performance of a simulated-annealing algorithm for phase retrieval , 1988 .

[19]  Thomas F. Quatieri,et al.  Recursive phase retrieval using boundary conditions , 1983 .

[20]  S P Almeida,et al.  Surface inspection via projection interferometry. , 1988, Applied optics.