Objective To propose a new gamut boundary description algorithm model of digital output device, and achieve the accurate three-dimensional reproduction and obtained the gamut volume of digital output devices' gamut. Methods The optimal color space partition was determined that the color range of Epson Stylus Pro 7910 printer was described by space region partition, and the boundary of every partition was described. The gamut matching adaptability was compared and analyzed from the aspect of the color gamut volume and the accuracy of reproduced boundary points based on the new algorithm and improved convex hull algorithm. Results Analysis results showed that the new algorithm model of color gamut boundary descriptions proposed in this paper was superior to the improved convex hull algorithm in the accuracy and precision. Conclusion The reproduced accuracies, the mean and max 驻E of boundary points, were both less than 2 and the color gamut volume of the device was obviously better.