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面向颜色再现的光谱降维方法研究
刘攀1, 刘真1, 吴光远1, 楚高利2
1.上海理工大学,上海 200093;2.河南工程学院,郑州 450007
摘要:
目的 为了解决颜色信息光谱反射率的高维数给颜色再现过程带来的诸多问题。方法 利用主流的光谱降维方法 (主成分分析, LabPQR, WSPCA, WSPCAplus), 实现利于颜色再现的光谱信息筛选,从光谱精度、 色度精度及变光源色差稳定性等3个方面评价这些降维方法。结果 实验证明, 主成分分析 (PCA) 法的光谱精度最高, 光谱误差只有0.0076, 但是在色度精度及变光源色差稳定性方面表现不好; LabPQR法在光谱精度和色度精度间达到了很好的平衡, 但是当变换光源时, 其色差稳定性较差; WSPCA法去除了光源的影响, 其变光源后色差变化不大, 并且同时兼顾了色度精度, 但以牺牲光谱精度为代价, WSPCAplus在其基础上将光谱精度提高为0.0081。结论 研究结果对颜色再现过程中降维方法的选择具有一定的指导作用。
关键词:  光谱降维  主成分分析  LabPQR  WSPCA
DOI:
分类号:TS801
基金项目:国家自然科学基金 (41271446);上海市研究生创新基金 (JWCXSL1402);上海市研究生教育创新计划
Spectral Dimension Reduction Methods for Color Reproduction
LIU Pan1, LIU Zhen1, WU Guang-yuan1, CHU Gao-li2
1.University of Shanghai for Science and Technology, Shanghai 200093, China;2.Henan Institute of Engineering, Zhengzhou 450007, China
Abstract:
To solve the problems in color reproduction process caused by the high dimension number of the color spectral reflectance information. Several mainstream spectral dimension reduction methods including principal component analysis, LabPQR, WSPCA and WSPCAplus were used to realize the spectral information filtering for color reproduction. Then these dimension reduction methods were evaluated from the aspects of spectral accuracy, colorimetric accuracy and color difference stability in transformation of the light source. The experiment proved that the spectral accuracy of PCA was the highest, the spectrum error was only 0.0076, but its performance in colorimetric accuracy and color difference stability in transformation of the light source was not good. LabPQR achieved a good balance between spectral accuracy and colorimetric accuracy, but the color difference was not stable when the light source was changed. WSPCA eliminated the influence of light source to keep the stability of the color difference, and guaranteed the colorimetric accuracy at the same time, but it sacrificed the spectral accuracy. Based on WSPCA, WSPCAplus improved the spectral accuracy to 0.0081. The results have a certain referencing value for the selection of dimension reduction method in color reproduction process.
Key words:  spectral dimension reduction  principal component analysis  LabPQR  WSPCA

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