I've found a few ways of reducing noise from image, but my task is to measure it.
So I am interested in algorithm that will give me some number, noise rating. That with that number I will be able to say that one image has less noise than others.
From a view of image processing, you can consult the classic paper "Image quality assessment: From error visibility to structural similarity" published in IEEE Transaction on Image Processing, which has already been cited 3000+ times according to Google Scholar. The basic idea is human's visual perception system is highly sensitive to structural similarity. However, noise (or distortion) often breaks such similarity. Therefore the authors tried to propose an objective measurement for image quality based on this motivation. You can find an implementation in MATLAB here.