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Interferogram Filtering Using Gaussians Scale Mixtures in Steerable Wavelet Domain
Gh.S.El-Taweel , Ashraf. K. Helmy
Pages - 354 - 367     |    Revised - 30-08-2010     |    Published - 30-10-2010
Volume - 4   Issue - 4    |    Publication Date - October 2010  Table of Contents
Phase Unwrapping, Interferogram, Gaussian scale mixtures
An interferogram filtering is presented in this paper. The main concern of the proposed scheme is to lower the residues count mean while preserving the location and jump height of the lines of phase discontinuity. The proposed method is based on a statistical model of the coefficients of multi-scale oriented basis. Neighborhoods of coefficients at adjacent positions and scales are modeled as the product of two independent random variables: a Gaussian vector and a hidden positive scalar multiplier. Under this model, the Bayesian least squares estimate of each coefficient reduces to a weighted average of the local linear estimates over all possible values of the hidden multiplier variable. The performance of this method substantially has the advantages of reducing number of residuals without affecting line of height discontinuity.
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1 Ghiglia, D.C. and Pritt, M. D. “Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software”. New York: Wiley 1998.
2 López, C.M., Eric, P."Coherence estimation in synthetic aperture radar data based on speckle noise modeling.". Applied Optics, 46(4):544-558, 2007
3 Lee, J. S., Papathanassiou, K. P., Ainsworth, Grunes, T. L., M. R, Reigber, A. "A new technique for noise filtering of SAR interferometric phase images". IEEE Transactions on Geoscience and Remote Sensing, 36(5):1456–1465, 1998
4 Chang, Ge. L. and Rizos, C. "Mine subsidence monitoring using multi-source satellite SAR images”. Photogrammetric Engineering and Remote Sensing, 73(3):259-266, 2007
5 Ferraiuolo, G. and Poggi, G. "A Bayesian filtering technique for SAR interferometric phase fields". IEEE Transactions on Image Processing, 13(10):1368 – 1378, 2004
6 Andrews, A. F. and Mallows, C. "Scale mixtures of normal distributions". Journal of the Royal Statistical Society. Series B, 36(1), 99-102, 1974
7 Guarnieri, A. M. "SAR interferometry and statistical topography". IEEE Trans. Geoscience and Remote Sensing, 40(12): 2567–2581, 2002.
8 Kingsbury, N. G. "Image processing with complex wavelets". Philosophical Transactions: Mathematical, Physical and Engineering Sciences Royal Society London, 357 (1760):2543-2560, 1999
9 Kingsbury, N. G. "Complex wavelets for shift invariant analysis and filtering of signals". Journal of Applied and Computational Harmonic Analysis, 10(3): 234-253, 2001
10 Portilla, J, Simoncelli, E P. "A Parametric Texture Model based on Joint Statistics of Complex Wavelet Coefficients". Int. Journal of Computer Vision, 40(1):49-71, 2000
11 Liu, J., Moulin, P. "Complexity-Regularized Image Denoising". IEEE Transaction on Image Processing,10(6):841-851, 2001
12 Starck, J .L., Candes, E. J., Donoho, D. L. "The curvelet transform for image denoising". IEEE Transaction on Image Processing, 11(6):670–684, 2002
13 Simoncelli, E. P., Freeman. T., Adelson, E. H., Heeger, D. J. "Shiftable multi-scale transforms". IEEE Transaction on Information Theory, 38(2):587–607, 1992
14 Simoncelli, E. P. and Adelson, E. H. "Noise removal via Bayesian wavelet coring". Proceedings of 3rd IEEE International Conference on Image Processing, 1996
15 Moulin, P., Liu, J."Analysis of multiresolution image denoising schemes using a generalized Gaussian and complexity priors". IEEE Transaction on Information Theory, 45(3): 909–919, 1999
16 Portilla, J., Strela, V., Martin J., Simoncelli, E. P. "Denoising Using Scale Mixtures of Gaussians in the Wavelet Domain". IEEE transactions on image processing,12(11):1338- 1350, 2003
17 Box, G. and Tiao, C. “Bayesian Inference in Statistical Analysis”. New York: Addison- Wesley, 1992.
18 Figueiredo , M., Nowak, R. "Wavelet-based image estimation: An empirical Bayes approach using Jeffrey’s noninformative prior". IEEE Transaction on Image Processing, 10(9):1322–1331, 2001
19 Holzner,J. "Analysis and Statistical Characterization of Interferometric SAR Signals Based on the Power Spectral Density Function". IEEE transactions on geoscience and remote sensing, 42(5):1116-1121, 2004
20 Holzner, J., Bamler, R., "Burst-mode and ScanSAR interferometry”. IEEE Transaction on Geoscience and Remote Sensing, 40(9):1917–1934, 2002
21 Li, Z.W., Ding, X.L. Huang, C. Zhu, J.J., Chen, Y.L. "Improved filtering parameter determination for the Goldstein radar interferogram filter". International Society for Photogrammetry and Remote Sensing, Inc. (ISPRS), 63(6):621-634, 2008
Mr. Gh.S.El-Taweel
- Egypt
Mr. Ashraf. K. Helmy
- Egypt