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The scattering of light within paper and the ink penetration in the substrate are the key factors which affect the color reproduction. A reflectance model for color halftone prints is introduced in this paper which considers these factors. The model is obtained by the extended Murray-Davies model and iterative algorithm. The model described in this paper contains two parameters, n and v . The n factor equals to the sum of w and v . The w factor relates to the optical spread function of paper relative to the spatial frequency of the halftone dots. The v factor relates to the distribution of colorant within the dots. The value of n and v are obtained by simulation according to the experimental data. For offset lithographic halftone data at 150lpi, the value of n and v are 1.578 and 0.02, thermal wax transfer halftone ( n =2.292, v =0.0209) and stochastic halftone ( n =1.1853, v =-0.006).