The paper covers an overview of image compression methods that are commonly used in digital telecommunication systems. A proposal is made how adaptive optimisation schemes can be applied in order to provide an optimal level of service quality. The criterion of optimality is set by a currently available network bandwidth, while providing a user with best possible quality of service. The problem, described in the paper, is how to select optimal image compression and transmission parameters, which employ currently available bandwidth and maintains perceptual degradation at a minimum level. The optimisation is constrained by minimum quality of service requirements.