The rendering of the scene under different atmospheric conditions requires the use of effects in the image, such as sunlight interaction with scene objects, suspended particles in the air, or shadows. In this paper, a mathematical model of the foggy image is analysed, the way aerosols modify the light in order to understand the resulting brightness of the scene captured by the camera. We calculate the intensity of scene radiation at the camera by taking into account the phenomena of scattering and absorption determined by the aerosols. Although most of the methods for rendering the sky scene in foggy conditions use the representation of a homogeneous fog, neglecting the heterogeneous fog, here both aspects are addressed. The heterogeneity is a consequence of a different number of dispersion particles appearing on the transmission directions of the scene radiation. The sky scene in a foggy day is rendered realistically in the experimental results section.

Keywords: Rendering, Foggy image, Scattering, Homogeneous and Heterogeneous fog