Polarimetric SAR image segmentation with B-splines and a new statistical model

We present an approach for polarimetric Synthetic Aperture Radar (SAR) image region boundary detection based on the use of B-Spline active contours and a new model for polarimetric SAR data: the $${\mathcal{G}_P^H}$$ distribution. In order to detect the boundary of a region, initial B-Spline curves are specified, either automatically or manually, and the proposed algorithm uses a deformable contours technique to find the boundary. In doing this, the parameters of the polarimetric $${\mathcal{G}_P^H}$$ model for the data are estimated, in order to find the transition points between the region being segmented and the surrounding area. This is a local algorithm since it works only on the region to be segmented. Results of its performance are presented.

[1]  Francisco Cribari-Neto,et al.  Analysis of Minute Features in Speckled Imagery with Maximum Likelihood Estimation , 2004, EURASIP J. Adv. Signal Process..

[2]  Sidnei J. S. Sant'Anna,et al.  From Maxwell's Equations to Polarimetric SAR Images: A Simulation Approach , 2008, Sensors.

[3]  J. Kong,et al.  K-Distribution and Polarimetric Terrain Radar Clutter , 1990, Progress In Electromagnetics Research.

[4]  Oscar H. Bustos,et al.  M-Estimators of Roughness and Scale for-Modelled SAR Imagery , 2002, EURASIP J. Adv. Signal Process..

[5]  A. C. Frery,et al.  Classification of SAR images using a general and tractable multiplicative model , 2003 .

[6]  Marta Mejail,et al.  Approximation of distributions for SAR Images: proposal, evaluation and practical consequences , 2001 .

[7]  L. Pizarro,et al.  M-estimators with asymmetric influence functions: the distribution case , 2006 .

[8]  Wolfgang Dierking,et al.  Change detection for thematic mapping by means of airborne multitemporal polarimetric SAR imagery , 2002, IEEE Trans. Geosci. Remote. Sens..

[9]  B. Jørgensen Statistical Properties of the Generalized Inverse Gaussian Distribution , 1981 .

[10]  J. Schou,et al.  Tensor based structure estimation in multi-channel images , 2000, IGARSS 2000. IEEE 2000 International Geoscience and Remote Sensing Symposium. Taking the Pulse of the Planet: The Role of Remote Sensing in Managing the Environment. Proceedings (Cat. No.00CH37120).

[11]  J. J. van Zyl,et al.  Imaging radar polarimetry: a review , 1991, Proc. IEEE.

[12]  Muni S. Srivastava On the Complex Wishart Distribution , 1965 .

[13]  Alejandro C. Frery,et al.  Feature extraction in speckled imagery using dynamic B‐spline deformable contours under the model , 2006 .

[14]  Maurizio Migliaccio,et al.  SAR Polarimetry to Observe Oil Spills , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[15]  Alejandro C. Frery,et al.  The polarimetric 𝒢 distribution for SAR data analysis , 2005 .

[16]  José M. N. Leitão,et al.  Unsupervised contour representation and estimation using B-splines and a minimum description length criterion , 2000, IEEE Trans. Image Process..

[17]  E. Pottier,et al.  Polarimetric Radar Imaging: From Basics to Applications , 2009 .

[18]  Alejandro C. Frery,et al.  Improved likelihood inference for the roughness parameter of the GA0 distribution , 2008 .

[19]  Mihai Datcu,et al.  Stochastic geometrical modeling for built-up area understanding from a single SAR intensity image with meter resolution , 2004, IEEE Transactions on Geoscience and Remote Sensing.

[20]  L. Devroye Non-Uniform Random Variate Generation , 1986 .

[21]  Alejandro C. Frery,et al.  Improving estimation in speckled imagery , 2005, Comput. Stat..

[22]  Juliana Gambini,et al.  Accuracy of edge detection methods with local information in speckled imagery , 2008, Stat. Comput..

[23]  Philippe Réfrégier,et al.  Contrast definition for optical coherent polarimetric images , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[24]  Seiho Uratsuka,et al.  Single‐look classification accuracy for polarimetric SAR , 2006 .

[25]  Haipeng Wang,et al.  Accuracy of the $K$-Distribution Regression Model for Forest Biomass Estimation by High-Resolution Polarimetric SAR: Comparison of Model Estimation and Field Data , 2008, IEEE Transactions on Geoscience and Remote Sensing.

[26]  Sudhir P. Mudur,et al.  Mathematical Elements for Computer Graphics , 1985, Advances in Computer Graphics.

[27]  J. A. Ritcey,et al.  Calculating the K-distribution by saddlepoint integration , 1995 .

[28]  Corina da Costa Freitas,et al.  A model for extremely heterogeneous clutter , 1997, IEEE Trans. Geosci. Remote. Sens..

[29]  N. R. Goodman Statistical analysis based on a certain multivariate complex Gaussian distribution , 1963 .

[30]  Michael Isard,et al.  Active Contours , 2000, Springer London.

[31]  N. R. Goodman The Distribution of the Determinant of a Complex Wishart Distributed Matrix , 1963 .

[32]  Laurent Ferro-Famil,et al.  Unsupervised terrain classification preserving polarimetric scattering characteristics , 2004, IEEE Transactions on Geoscience and Remote Sensing.

[33]  Renato J. Cintra,et al.  Hypothesis Testing in Speckled Data With Stochastic Distances , 2012, IEEE Transactions on Geoscience and Remote Sensing.

[34]  David F. Rogers,et al.  Mathematical elements for computer graphics (2nd ed.) , 1989 .

[35]  Corina da Costa Freitas,et al.  Classifying Multifrequency Fully Polarimetric Imagery With Multiple Sources of Statistical Evidence and Contextual Information , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[36]  Jayaram K. Udupa,et al.  A framework for evaluating image segmentation algorithms , 2006, Comput. Medical Imaging Graph..

[37]  Alejandro C. Frery,et al.  Improved estimation of clutter properties in speckled imagery , 2002 .

[38]  Li Zhang In Situ Image Segmentation Using the Convexity of Illumination Distribution of the Light Sources , 2008, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[39]  Knut Conradsen,et al.  A test statistic in the complex Wishart distribution and its application to change detection in polarimetric SAR data , 2003, IEEE Trans. Geosci. Remote. Sens..

[40]  S. Quegan,et al.  Understanding Synthetic Aperture Radar Images , 1998 .

[41]  Thomas Busche,et al.  Sea ice monitoring by L-band SAR: an assessment based on literature and comparisons of JERS-1 and ERS-1 imagery , 2006, IEEE Transactions on Geoscience and Remote Sensing.

[42]  R. Horn,et al.  E-sar - The Experimental Airborne L/c-band Sar System Of DFVLR , 1988, International Geoscience and Remote Sensing Symposium, 'Remote Sensing: Moving Toward the 21st Century'..

[43]  A.C. Frery,et al.  Clustering of fully polarimetric SAR data using finite Gp0 mixture model and SEM Algorithm , 2008, 2008 15th International Conference on Systems, Signals and Image Processing.