  Since time immemorial, noise has been a constant source of disturbance to the
various entities known to mankind. Noise models of different kinds have been
developed to study noise in more detailed fashion over the years. Image
processing, particularly, has extensively implemented several algorithms to
reduce noise in photographs and pictorial documents to alleviate the effect of
noise. Images with sparse colours-lesser number of distinct colours in them-are
common nowadays, especially in astronomy and astrophysics where black and white
colours form the main components. Additive noise of Gaussian type is the most
common form of noise to be studied and analysed in majority of communication
channels, namely-satellite links, mobile base station to local cellular tower
communication channel,et. al. Most of the time, we encounter images from
astronomical sources being distorted with noise maximally as they travel long
distance from telescopes in outer space to Earth. Considering Additive White
Gaussian Noise(AWGN) to be the common noise in these long distance channels,
this paper provides an insight and an algorithmic approach to pixel-specific
de-noising of sparse-coloured images affected by AWGN. The paper concludes with
some essential future avenues and applications of this de-noising method in
industry and academia.
