因子分析和可靠性分析在织物染色计算机配色中的研究
发布时间：2019-07-06 13:47
【摘要】：计算机配色技术的出现解决了传统人工配色过程中费时、费力、可重现性差等问题,然而国内计算机配色起步较晚,在计算速度和精度上还有待提高。由于因子分析方法使用了因子旋转技术,使得解释性更强;而可靠性分析使用克隆巴赫系数展示模型的可靠度,使结果说服性更强。本文针对计算机配色过程中存在的问题,将可靠性分析、因子分析方法应用到对样本数据的分析中,推测可能的数学模型。根据具体情况,分别使用回归分析中的曲线估计和线性回归方法对模型进行建立和求解。最后分别求出染料浓度和三刺激值的误差,用误差的大小进一步验证模型的准确度。本文首先介绍了课题探究的背景、发展进程,针对国内配色的现状提出本文的研究主体与创新点。其次从色度学原理角度详细介绍了本文中所用到的基础知识,包括色彩的三要素、颜色空间、颜色混合和色差,介绍了现在配色的理论基础Kubelka-Munk理论。再次,站在数学角度详细描述了本文中所用到的数学模型:因子分析、可靠性分析、回归分析和牛顿迭代法。本文研究的主要内容是三种染料在相同浓度和不同浓度下的关系问题。染料浓度相同时所用到的数学模型有可靠性分析和回归分析的曲线估计;染料浓度不同时,使用因子分析和回归分析来进行数学建模和模型的求解。最后,对本文的研究内容进行了总结,并指出求解过程中存在的问题,以便在后续的工作中继续进行研究改进。
文内图片：
图片说明：色相图
[Abstract]:The emergence of computer color matching technology has solved the problems of time-consuming, laborious and poor reproducibility in the traditional manual color matching process. However, the domestic computer color matching started late, and the calculation speed and accuracy still need to be improved. Because the factor rotation technique is used in the factor analysis method, the explanation is stronger, while the reliability analysis uses the Cronbach coefficient to show the reliability of the model, which makes the result more persuasive. In this paper, in view of the problems existing in the process of computer color matching, the reliability analysis and factor analysis method are applied to the analysis of sample data, and the possible mathematical model is deduced. According to the specific situation, the curve estimation and linear regression method in regression analysis are used to establish and solve the model. Finally, the errors of dye concentration and tristimulus value are obtained respectively, and the accuracy of the model is further verified by the magnitude of the error. This paper first introduces the background and development process of the research, and puts forward the research subject and innovation point of this paper in view of the present situation of color matching in China. Secondly, from the point of view of chromaticity principle, the basic knowledge used in this paper is introduced in detail, including the three elements of color, color space, color mixing and color difference, and the theoretical basis of color matching Kubelka-Munk theory is introduced. Thirdly, from the mathematical point of view, the mathematical models used in this paper are described in detail: factor analysis, reliability analysis, regression analysis and Newton iterative method. The main content of this paper is the relationship between the three dyes at the same concentration and different concentrations. When the dye concentration is the same, the mathematical model used has the curve estimation of reliability analysis and regression analysis, and the factor analysis and regression analysis are used to solve the mathematical model when the dye concentration is different. Finally, the research contents of this paper are summarized, and the problems existing in the process of solving are pointed out in order to continue the research and improvement in the follow-up work.
【学位授予单位】：青岛大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：TP391.41
，
本文编号：2511060
文内图片：
图片说明：色相图
[Abstract]:The emergence of computer color matching technology has solved the problems of time-consuming, laborious and poor reproducibility in the traditional manual color matching process. However, the domestic computer color matching started late, and the calculation speed and accuracy still need to be improved. Because the factor rotation technique is used in the factor analysis method, the explanation is stronger, while the reliability analysis uses the Cronbach coefficient to show the reliability of the model, which makes the result more persuasive. In this paper, in view of the problems existing in the process of computer color matching, the reliability analysis and factor analysis method are applied to the analysis of sample data, and the possible mathematical model is deduced. According to the specific situation, the curve estimation and linear regression method in regression analysis are used to establish and solve the model. Finally, the errors of dye concentration and tristimulus value are obtained respectively, and the accuracy of the model is further verified by the magnitude of the error. This paper first introduces the background and development process of the research, and puts forward the research subject and innovation point of this paper in view of the present situation of color matching in China. Secondly, from the point of view of chromaticity principle, the basic knowledge used in this paper is introduced in detail, including the three elements of color, color space, color mixing and color difference, and the theoretical basis of color matching Kubelka-Munk theory is introduced. Thirdly, from the mathematical point of view, the mathematical models used in this paper are described in detail: factor analysis, reliability analysis, regression analysis and Newton iterative method. The main content of this paper is the relationship between the three dyes at the same concentration and different concentrations. When the dye concentration is the same, the mathematical model used has the curve estimation of reliability analysis and regression analysis, and the factor analysis and regression analysis are used to solve the mathematical model when the dye concentration is different. Finally, the research contents of this paper are summarized, and the problems existing in the process of solving are pointed out in order to continue the research and improvement in the follow-up work.
【学位授予单位】：青岛大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：TP391.41
，
本文编号：2511060
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