三维打印球体的色差计算方法研究  

Color Difference Calculation Method for Three-Dimensional Printed Spheres

作　　者：潘洁 黄敏[1] 李钰 王宇 赵姝怡 李修[1] 刘瑜[1] Pan Jie;Huang Min;Li Yu;Wang Yu;Zhao Shuyi;Li Xiu;Liu Yu(School of Printing and Packaging Engineering,Beijing Institute of Graphic Communication,Beijing 102600,China)

机构地区：[1]北京印刷学院印刷与包装工程学院,北京102600

出　　处：《光学学报》2021年第23期261-270,共10页Acta Optica Sinica

基　　金：国家自然科学基金(61675029);北京市委组织部青年拔尖计划(2018);北京印刷学院校级研发计划(Ec202003)。

摘　　要：为研究现有国际照明委员会(CIE)色差公式(基于平面色建立)对三维(3D)打印球体模型色差评价的适用性,基于Sailner J400彩色3D打印机,围绕CIE推荐的5个颜色中心(灰、红、黄、绿、蓝)制作了200对(150对哑光和50对光泽)直径4 cm的球体模型。组织了59名年龄分布在19~26岁的色觉正常观察者,使用灰梯尺法开展色差评价实验。检验了基于CIELAB、CIECAM02和CAM16共3个颜色空间、8个色差公式的表现性能,并对色差公式进行了幂指数和明度因子的优化计算。结果表明,各原始色差公式对3D球体色差的预测性能较为一致,标准化残差平方和(STRESS)值为32.5~34.7;对光泽球体样本的预测性能优于哑光球体样本。F检验表明,针对3D球体样本建立的幂指数色差计算方法较原始色差公式的性能均有显著改善,优化后的STRESS值降为24.5~27.3;经过明度因子优化后的改善不显著。In this paper,200 pairs of sphere samples(150 pairs of matte ones and 50 pairs of glossy ones)with a diameter of 4 cm were prepared by a Sailner J400 color three-dimensional(3 D)printer to study the applicability of the existing International Commission on Illumination(CIE)color difference formulas(based on two-dimensional colors)to the color difference evaluation of 3 D printed sphere models.The colors of these samples are distributed around five color centers(gray,red,yellow,green,and blue)recommended by the CIE.A total of 59 observers with normal color vision aged from 19 to 26 were organized to carry out color difference evaluation experiments by the gray scale method.Eight color difference formulas based on three color spaces,namely CIELAB,CIECAM02,and CAM16,were tested on performance and optimized with the methods of the power function and the lightness factor optimization.The results indicated that the original color difference formulas deliver relatively consistent predictions of the color differences of the 3 D printed sphere samples,with a standardized residual sum of squares(STRESS)value of 32.5--34.7.The prediction performance on glossy sphere samples was better than that on matte sphere samples.The F test showed that the performance of the power function method of color difference calculation developed for 3 D sphere samples was significantly improved compared with that of the original formulas,with an optimized STRESS value of 24.5--27.3.No significant improvement was observed after k;optimization.

关 键 词：视觉与色彩 三维打印 色差公式 幂指数优化 标准化残差平方和 

分 类 号：O432[机械工程—光学工程]