基于改进R矩阵方法的光谱反射率重建研究
Spectral reflectance reconstruction based on improved matrix R method
摘要
Abstract
In order to solve the ill-posed problem in the process of reconstructing the spectral reflec-tance using the traditional matrix Rmethod,an improved matrix Rmethod was proposed in this pa-per.The Tikhonov regularization method was researched to restrict the ill-posed problem to solve the Moore-Penrose pseudo inverse matrix.The L-curve method was used to obtain the optimal regulariza-tion parameter by training samples data in order to effectively restrict the ill-posed situation.The ex-perimental results verified that compared with traditional matrix R method,the proposed regulariza-tion matrix R method had higher spectral and chromatic accuracy of reconstructed spectrum whose mean root mean square error value reduced 0.00425,mean goodness of fit coefficient value improved 1.325%,and mean color difference value reduced 0.1419.At the same time,the proposed regulariza-tion matrix R method achieved good performance in practical application.It can meet the high accuracy of cultural relics color reproduction needs.关键词
光谱反射率重建/R矩阵/Tikhonov正则化/颜色再现Key words
spectral reflectance reconstruction/matrix R/Tikhonov regularization/color reproduction分类
数理科学引用本文复制引用
王可,王慧琴,王展,张毅,殷颖..基于改进R矩阵方法的光谱反射率重建研究[J].液晶与显示,2018,33(4):338-346,9.基金项目
国家自然科学基金青年基金(No.61701388) （No.61701388）
住建部科学技术计划资助项目(No.2017-K2-014) （No.2017-K2-014）
陕西省科技厅国际合作资助项目(No.2017KW-036) （No.2017KW-036）
西安市科技局软科学资助项目(No.2016043SF/RK06(3)) （No.2016043SF/RK06(3）
西安市碑林区科技计划资助项目(No.GX1606) （No.GX1606）
西安建筑科技大学青年基金(No.QN1628,No.QN1020)Supported by the Youth Fund of National Natural Science Foundation of China(No.61701388) （No.QN1628,No.QN1020）
Science and Technology Project of Ministry of Housing and Urban-Rural Development of China(No.2017-K2-014) （No.2017-K2-014）
International Science and Technology Cooperation Project of Science and Technology Department of Shaanxi Province,China(No.2017KW-036) （No.2017KW-036）
Soft Science Project of Science and Technology Bureau of Xi'an,China(No.2016043SF/RK06(3)) （No.2016043SF/RK06(3）
Science and Technology Project of Science and Technology Bureau of Xi'an Beilin District,China(No.GX1606) （No.GX1606）
Youth Science and Technology Fund Project of Xi'an Univer-sity of Architecture And Technology,China(No.QN1628,No.QN1020) （No.QN1628,No.QN1020）
