Despeckling Filter Based on the Tsallis Entropy of the $\mathcal{G}^{0}_{I}$ Distribution

Speckle noise is a phenomenon that occurs in the acquiring image process with coherent illumination, such as synthetic aperture radar, ultrasound, or laser systems. It is hard to eliminate due to its stochastic and multiplicative nature. In this work, a despeckling filter technique is proposed based on modeling the data using the <tex>$\mathcal{G}^{0}_{I}$</tex> distribution and applying a hypothesis test built from the Tsallis entropy. The present proposal is applied to synthetic and real images and, in both cases, the efficiency in removing speckle noise is evaluated using standard metrics. Furthermore, its quality is compared with the FANS filter, obtaining encouraging results.