Information measures in scale-spaces

Jon Sporring, Joachim Weickert

Abstract: This correspondence investigates Re ́nyi’s generalized en- tropies under linear and nonlinear scale-space evolutions of images. Scale-spaces are useful computer vision concepts for both scale analysis and image restoration. We regard images as densities and prove monotony and smoothness properties for the generalized entropies. The scale- space extended generalized entropies are applied to global scale selection and size estimations. Finally, we introduce an entropy-based fingerprint description for textures.