1. A computer-usable medium for efficient color profile compression, said computer-usable medium embodying computer program code, said computer program code comprising instructions executed by a computer for: extracting from the color profile a multidimensional color transform f( )that maps color variables from a multi-dimensional input space of dimensionality n to another multi-dimensional output space of dimensionality m; deriving a projection operator P for projecting the n-dimensional input color variables to k-dimensional color variables, wherein k is less than n; calculating an approximation function g( )for mapping said k-dimensional input color variables to said m-dimensional output color variables; combining the projection operator and approximation function to form a compressed multi-dimensional color transform which provides a significant reduction in size and speeds up real-time computation; and building a compressed profile from the compressed multi-dimensional transform.