Gray-scale image colorization is a hot topic in both computer graphics and image processing. It can be widely applied in film and television production

digital photo editing

animation industry

etc. A great number of user interactions

which greatly reduces the efficiency of colorization

are involved in conventional methods to achieve clustering of the gray-scale image or the matching between the gray-scale image and the source image. This paper presents a novel gray-scale image colorization method based on the control of single-parameter. Firstly

colorization model based on the theory of analytic geometry is presented. Secondly

based on the linear regression method

we calculate the polynomial fitting model of the histograms of the source image and the gray-scale image respectively. After users input the order of the polynomials

the clustering and matching of the source image and the grayscale images could be achieved automatically. Finally

the colorization is realized by transferring the color of source image to its corresponding area of the gray-scale image. This method greatly eliminates the user interactions

making the process of colorization more convenient and efficient.