1. A method for rendering color images using spatially dependent gamut mapping, comprising: inputting a gamut constraint; choosing a one dimensional gamut projection scheme, comprising: selecting a transform color coordinate system, computing transform equations, and verifying gamut conditions; inputting an original image to be rendered, wherein the original image is in a given color coordinate system; transforming the gamut constraint, the image, and the transform equations to the transform color coordinate system, whereby a three dimensional quadratic functional is transformed into a one dimensional quadratic functional; finding a minimum solution to the functional subject to the gamut constraint and a derivative constraint; and transforming a projected image in the transform color coordinate system into a color coordinate system of a rendering device.