光学技术2024,Vol.50Issue(2) :160-166.

基于逆方差加权的光谱反射率重建算法研究

Research on spectral reflectance reconstruction algorithm based on inverse variance weighting

刘莉 刘振 邰永航 李婵
光学技术2024,Vol.50Issue(2) :160-166.

基于逆方差加权的光谱反射率重建算法研究

Research on spectral reflectance reconstruction algorithm based on inverse variance weighting

刘莉 1刘振 2邰永航 1李婵3
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作者信息

  • 1. 云南师范大学物理与电子信息学院,云南昆明 650000
  • 2. 曲阜师范大学工学院,山东 日照 276800
  • 3. 深圳职业技术大学传播工程学院,广东深圳 518000
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摘要

为了能较大程度的满足图像复制的需求,避免同色异谱现象,研究光谱重建算法对光谱反射率重建精度和色度的影响.通过改进传统的主成分分析法,提出逆方差加权回归的光谱反射率重建算法.首先,引入逆方差加权模型,调整因子权重;其次,对光谱反射率训练样本集归一化处理,计算新的协方差矩阵;最后,对加权后的光谱反射率样本集奇异值分解,重建光谱反射率.实验表明,基于逆方差加权的光谱反射率重建算法的CIE DE2000颜色精度提高了3.3%,光谱重建精度提高了 2%,能够实现良好的颜色再现效果.加权算法可以应用于光谱反射率重建过程,有助于提高光谱重建精度和色度.

Abstract

To study the effect of spectral reconstruction algorithm on spectral reflectance reconstruction accuracy and chromaticity in order to meet the demand of image reproduction to a greater extent and avoid the phenomenon of isochro-mia.An inverse variance weighted regression spectral reflectance reconstruction algorithm was proposed by improving the traditional principal component analysis method.Firstly,the inverse variance weighting model is introduced to adjust the weight of factors.Secondly,the spectral reflectance training sample set is normalized and a new covariance matrix is cal-culated.Finally,the spectral reflectance is reconstructed by singular value decomposition of the weighted spectral reflec-tance sample set.Experiments show that the color accuracy of CIE DE2000 based on inverse variance weighted spectral reflectance reconstruction algorithm is increased by 3.3%,spectral reconstruction accuracy is increased by 2%,and good color reproduction effect can be achieved.The weighted algorithm can be used in spectral reflectance reconstruction,which is helpful to improve the accuracy and chrominance of spectral reconstruction.

关键词

光谱反射率重建/逆方差加权/主成分分析

Key words

spectral reflectance reconstruction/inverse variance weighting/principal component analysis

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基金项目

国家自然科学基金(62365017)

云南省优秀青年基金(202301AW070001)

出版年

2024
光学技术
北京兵工学会 北京理工大学 中国北方光电工业总公司

光学技术

CSTPCD北大核心
影响因子:0.441
ISSN:1002-1582
参考文献量19
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