1. A color management method which converts a source-side color in a source device dependent color space into a counterpart destination-side color in a destination device dependent color space, said method comprising: accessing a multi-spectral color image in the source device dependent color space generated using a multi-spectral source device; converting the multi-spectral color image into a spectral reflectance representation in a spectral reflectance space; converting the spectral reflectance representation into a spectrally-based Interim Connection Space (ICS) representation in a spectrally-based ICS; spectrally gamut mapping each spectrally-based ICS value of the spectrally-based ICS representation onto a spectral gamut of a destination device using a simplified spectral Gamut Boundary Descriptor (GBD) that represents the spectral gamut boundary of the destination device; and converting each gamut-mapped spectrally-based ICS value into a destination-side color in the destination device dependent color space of the destination device, wherein the simplified spectral GBD is constructed by generating sample points that span the spectral gamut of the destination device, forming a full spectral GBD by applying a hulling algorithm to the sample points, identifying sample points that are vertices of the full GBD, partitioning the vertices of the full GBD into clusters, such that the clusters are at least at a certain threshold distance apart, choosing a representative sample point from each cluster, and forming the simplified spectral GBD by applying the hulling algorithm to the representative sample points from each cluster, wherein the method is executed by at least one processor.