For non-visual optical systems the modern methods of image evaluation (OTF and veiling glare), used in conjunction with an RMS noise statistic, permit the prediction of system performance in terms of stimulus size, stimulus strength and an acceptable signal/noise ratio for a given false alarm rate. However, when it comes to visualisation of other than noise-free images it appears from literature that performance is not uniquely related to these parameters. A plausible and tried modelling of the interactions of noise and quality in visual tasks is discussed in general terms and the implications of the findings on the interplay of noise and quality in various visual tasks are highlighted.
"The Influence Of Noise And Quality On Subjective Performance", Proc. SPIE 0098, Assessment of Imaging Systems I, (12 October 1977); doi: 10.1117/12.955286; https://doi.org/10.1117/12.955286