Distinguishing Samples from the $\mathcal{G}_{I}^{0}$ Distribution by using Tsallis Entropy

Automatic Synthetic Aperture Radar image interpretation is an important issue in image processing because of its multiple applications in environmental monitoring. This type of image is contaminated with speckle noise, which obstructs classical image analysis. However, it has been widely proved that they can be properly modeled with the <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\mathcal{G}^{0}$</tex> distribution. This work is dedicated to developing methods for discriminating SAR image regions with different levels of texture. A hypothesis test is constructed based on the Tsallis entropy of the <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\mathcal{G}^{\mathrm{0}}$</tex> distribution for intensity data. A series of tests are carried out with synthetic data. The obtained results are encouraging.