A new gamut mapping algorithm is proposed, based on analysis of observer preferences in a previous interactive gamut mapping experiment. The new algorithm preserves the colour relationships between the original and reproduced images, by matching the local conformations of the source and destination gamut boundaries. A core gamut is constructed inside the destination gamut boundary, within which no mapping occurs, i.e. colour is preserved unchanged. Colours outside the destination gamut are mapped into the region between the core and destination gamut boundaries in a reversible manner. Results of a first set of experiments are reported, with 12 observers, 5 images and 4 algorithms, indicating that the new algorithm performed well but that scope remains for further improvement.