We give a brief survey of the framework, relevant issues and existing methods in the field of digital image compression. Accept for section 3 where additional references are given, we basically follow the exposition of the field as presented in: Digital Pictures - Representation and Compression Arun. N. Netravali and Barry G. Haskell Bell Laboratories Murray Hill, New Jersey Plenum Press, London and New York 1988. All figures that contain page numberings are taken from the above.