Speckle reduction of TerraSAR-X imagery using TV segmentation

The nonsubsampled contourlet transform (NSCT) is a new image representation approach that has sparser representation at both spatial and directional resolution and thus captures smooth contours in images. On the other hand, wavelet transform has sparser representation of homogeneous areas. In this paper, we are going to use the three combinations of undecimated wavelet and nonsubsampled contourlet transforms that was used in for denoising of TerraSAR-X images. Two of the methods use the undecimated wavelet transform to de-noise homogeneous areas and the nonsubsampled contourlet transform to denoise areas with edges. The segmentation between homogeneous areas and areas with edges is done by using total variation segmentation. The third method is a linear averaging of the two denoising methods. A thresholding in the wavelet and contourlet domain is done by non-linear functions which are adapted for each selected subband. The non-linear functions are based on sigmoid functions. Simulation results suggested that these denoising schemes achieve good and clean images.