Relationships between linear and morphological scale-spaces have been considered by various previous works. The aim of this paper is to study how to generalise the diffusionbased approaches in order to introduce nonlinear filters whose effects mimic morphological dilation and erosion. A methodology based on the counter-harmonic mean is adopted here. Details of numerical implementation are discu...

The aim of the present article is to give physical meaning to the ingredients of standard gauge field theory in the framework of the scale relativity theory. Owing to the principle of the relativity of scales, the scale-space is not absolute. Therefore, the scale variables are functions of the space-time coordinates, so that we expect a coupling between the displacement in space-time and the di...

Scale-spaces are usually associated with the diffusion equation operating on greyscale images. This paper presents a scale-space that is based on graph morphology and works in colour. The system is shown to be a natural extension of the existing greyscale graph-morphology scale-spaces. The system is evaluated by comparing it to a specially collected database of ground-truth images created by hu...