由頻譜反射率和穿透率估測色彩混色原色色料配色量之研究

Abstract

本研究計畫擬於兩年期間，針對結合可見光分光光度計和色彩噴墨印表機混色原 理應用於資料儲存技術，分析噴墨之原色色料以及分光光度計之量測光學參數等對於混 色色料逆向推導原始原色色料配色係數的影響，進行尋求較佳之逆向轉換推導方式。二 年期計畫執行間我們將透過實驗配合Beer’s law 量測建立染料與色素等二種原色色料之 頻譜消散係數與吸收係數，並利用輻射傳遞方程式建立混色色料反射率與穿透率式子， 經由正向求解之反射率和穿透率其與原色色料配色係數間的關係式進行逆向分析，以建 立藉由實驗量測混色色料不同波長下之反射率和穿透率，逆向推導原色色料配色係數之 估測方法。在第一年計畫中，混色色料擬考慮為水溶性染色染料，染色染料之輻射性質 為非散射性，針對此一應用我們將分析原色色料配色係數對頻譜反射率和穿透率的影 響，並分析靈敏係數以尋求逆向估測配色係數之最佳設計，並進行實驗測試，針對各種 不同原色色料配色比之案例實際進行逆向測試。在第二年計畫中，我們將考慮混色色料 為顏料色素，顏料色素因非水溶性其射散性之效應將被分析，並評估其對於色素做為應 用色彩原理之資料儲存技術的效應，並尋求逆向估測配色係數之最佳參數條件。

This project is one of three sub-projects in an integrated plan for promoting the technology of high density data storage with use of existing color inkjet printing. It purposes to study within a period of two years the influence of the color matching coefficients on the spectral reflectance and transmittance of colors on a substrate. Further, an inverse radiation analysis will be performed for the estimation of color matching coefficients from reflectance and transmittance measured by spectrometer. In the project, the extinction/absorption coefficients of dyes and pigments used as the chromatic colors will be measured with Beer’s law under appropriate conditions of operational parameters. The expressions for reflectance and transmittance will be derived from radiation transfer equation for various color matching coefficients. With the expressions and also use of least squares method, an estimation method for measuring the color matching values will be presented. During the phase of first year, the nonscattering dye will be considered. We shall investigate in detail the effect of various parameters of dyes on radiation properties of a system with colors on a substrate of various materials. The sensitivity coefficient will be analyzed in order to seek for an optimal design of the inverse estimation technique. And the technique shall apply for cases with various color matching values to verify the accuracy. During the second-year project, a similar analysis as in first year will be performed and color pigments will be investigated, which is scattering medium. The scattering phenomenon will be included and its effect on reflectance and transmittance be analyzed to find the optimal situation for estimation of color matching coefficients.