| With the development of the national golden card engineering, the smart card market has become an emerging field in our country, but there is not a united standard for the craft specification and the quality detection of the smart card printing. Aimed at the above problem, the article's purpose is to establish a high precision mathematical model of smart card printing.In this paper, the smart cards which are printed in the Xi'an No.1 Printing Factory are the study objects. The mathematical methods of the binary linear regression, coefficient analysis and least-squares method are used. At the beginning, the mathematical models of unimpressed and impressed smart card printing are established. Then the conditioning of the plane theory and the deviation of the conversion are researched. Soon its precision is discussed and the main reasons that influence the equation precision are analyzed. The dot gain coverage and the color changes of the smart card impressing process are researched. Then the software is established by MATLAB language. At the end, the relation between the difference of the actual dot area coverage and the angle of obverse planes is researched.The mathematical models of unimpressed and impressed smart card printing are established in this paper which can be used in practice, the multiple correlation coefficient of the plane theory is better at the condition of the D50 source in 20 view field than at the condition of the D65 source in the 100 view field. In the process of the press the yellow dot gain is the biggest, the magenta dot gain is smaller, and the cyan dot gain is smallest. after the precession the light of the gradient of C, M, Y is turn down and the color turn darken, it is discovered that the difference of actual dot area coverage and the angle of obverse planes are have linear relationship.The result of the paper can provide powerful basis for the color management of the smart card printing, and it can be used to prescribe the craft of the smart card printing. |