This article aims to give a survey of the fundamentals of gamut mapping by describing the cross-media color reproduction context in which it occurs, by giving definitions of terms used in conjunction with it, by describing its aims and by giving an overview of parameters that influence it. These parameters are primarily the choice of color space used, the category into which a gamut mapping algorithm belongs and whether the approach is image or medium dependent. A succinct summary is then given of the principal trends in gamut mapping studies conducted to date.