What is disclosed is a system and method for mapping an out-of-gamut spot color to a surface boundary of a target color gamut of a color marking device in a color management system. The present method accurately detects the intersection of a point at the boundary surface of a ray traced between the out-of-gamut color and color point along a neutral axis of the target gamut. The ability to map an out-of-gamut color accurately to the gamut surface provides many advantages as one skilled in the art would appreciate. Various embodiments are provided.