Representação de imagens em espaço suporte hiperbólico

This is a conceptual approach of a work where we propose a support space of pixels to circular images from spherical surfaces using hyperbolic spaces. We work with three projections of this space on a hemisphere of a sphere and an image model that treat grey tones as Gaussian distribution considered in the Poincare half-plane H 2 with the Fisher metric. Through a partial ordering in H 2 we propose an opening morphological operation.