Coupled Partial Differential Equations Method for InSAS Interferogram Filtering

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In this paper, a coupled nonlinear diffusion partial differential equations (PDE) method for Interferometric Synthetic Aperture Sonar(InSAS) interferogram filtering was introduced. Many previous PDE methods in this area usually use Gauss pre-filtering. The choice of variance in Gauss function plays a very important role in the quality of the image obtained. Manually choice of the variance can hardly reach the self-adaptation aim. Using nonlinear diffusion equation to instead Gauss pre-filtering can overcome the disadvantage mentioned above. Numerical experiment results indicate that this coupled PDE method is able to effectively reduce the noise and preserve edge information. And it is important for InSAS real time processing.

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103-106

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March 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Griffiths, H.D. Rafik, T.A. Interferometric synthetic aperture sonar for high resolution 3-D mapping of the seabed[J]. IEE proceedings. Radar, sonar and navigation, 1997, 144(2): 96-103.

DOI: 10.1049/ip-rsn:19971076

Google Scholar

[2] Perona P, Malik J. Scale-space and edge detection using anisotropic diffusion[J]. IEEE TPAMI, 1990, 12: 629-639.

DOI: 10.1109/34.56205

Google Scholar

[3] Yu-Li You, Wenyuan Xu, Allen Tannenbaum et al. Behavioral Analysis of Anisotropic Diffusion in Image Processing[J]. IEEE Transactions on Image Processing. 1996, Vol 5, No 11, 1539-1553.

DOI: 10.1109/83.541424

Google Scholar

[4] Catte F, Coll T, Lions P L, Morel J M. Image selective smoothing and edge detection by nonlinear diffusion[J]. SIAM J. Numer. Anal, 1992, 29: 182-193.

DOI: 10.1137/0729012

Google Scholar

[5] Chen Y, Barcelos C A Z, Mair B A. Smoothing and Edge Detection by Time-Varying Coupled Nonlinear Diffusion Equations[J]. Computer Vision and Image Understanding, 2001, 82: 85-100.

DOI: 10.1006/cviu.2001.0903

Google Scholar

[6] S. Osher,J. Sethian. Fronts propagating with curvature dependent speed, algorithms based on the Hamilton–Jacobi Formulation[J]. Journal of Computational Physics. 1988 , 79: 12–49.

DOI: 10.1016/0021-9991(88)90002-2

Google Scholar

[7] Goldstein RM, ZebkerHA, WemerCL. Satellite radar interferometry: two- dimensional phase unwrapping[J]. Radio Science, 1988, 23: 713-720.

DOI: 10.1029/rs023i004p00713

Google Scholar