1. A method of reducing noise in images formed by uniform regions and textures delimited by edges, the method comprising, in parallel, the steps of: filtering said images, and detecting edges and textures in these images, and a selection step of eliminating or, in contrast, applying said filtering to each image pixel according to whether this image pixel is associated or not associated with an edge or a texture, characterized in that the method comprises, at the end of the step of detecting edges and textures, a sub-step of re-assigning or not re-assigning each image pixel to an edge or a texture in accordance with the result of a connectivity test.