1. A system for the processing of a noisy image in a sequence of noisy images in order to supply a recursively-temporally filtered sample for the formation of a noise-filtered image, the system comprising: means for extracting a noisy temporal sample at a given location in the sequence of noisy images, recursive temporal filtering means which include means for forming a sum of a corresponding sample (Y.sub.t-1) of an already filtered preceding image of the sequence and a corresponding sample [.DELTA..sub.t (x,y)] of a difference image (S.sub.t -Y.sub.t-1) formed between the noisy image and the filtered preceding image which is weighted by a recursion factor (K.sub.t), two-dimensional spatial filtering means (F.sub.2D) which are applied to said difference image in order to enhance spatially coherent samples and to supply a measure of probability of motion (.beta..sub.t) which is linked to said spatially coherent samples, means for applying a scalar function (f.sub.1) to said measure of probability of motion (.beta..sub.t) to supply an output coefficient (.alpha..sub.t), and means for generating said recursion factor (K.sub.t) in dependence on said output coefficient (.alpha..sub.t).