Color inverse tables, although seemingly accurate, introduce color errors and artifacts near the gamut boundary of a device. These artifacts are due to a combination of gamut mapping and interpolation: Gamut mapping breaks the correspondence between connection and device space vertices, and interpolation subsequently fails. An algorithm has been designed for more accurate inversions at the gamut boundary. It is based on the extrapolation of vertices instead of gamut mapping and interpolation. Results on different printers and media types show a significant improvement in color accuracy near the gamut boundary compared to standard inversion techniques.