Applications for hyperspectral image data are still in their infancy as handling the significant size of the data presents a challenge for the user community. In some cases

especially in satellite data link

limited by the available bandwidth and the onboard storage capacity

lossy compression techniques have to be used. Hyperspectral imagery applications appear different sensitivities to various of degradations caused by different lossy compression methods. The evaluation of quality of compressed hyperspectral images comes in growing interest over the past few years.In the paper we first reviewed some major hyperspectral image compression methods. Second we summarized the existing evaluation approaches including objective distortion criteria

statistical applications algorithms results evaluation and extraction of distortion criteria with same sensitivity. The merits and drawbacks of the approaches were discussed as well.Then a new evaluation scheme based on optimal performance is proposed. In the end

the future trend of the evaluation technique was pointed out

in personal opinion.