一种基于统计流形的光谱信息散度颜料识别方法 
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An Identification Method of Spectral Information Divergence Pigment Based on Statistical Manifold
1 西安建筑科技大学信息与控制工程学院, 陕西 西安 710055
2 陕西文物保护研究院, 陕西 西安 710075
图 & 表
图 1. 石青、石绿、银朱、铅丹4种矿物颜料样本
Fig. 1. Four kinds of mineral pigment samples of azurite, malachite green, vermilion, and red lead
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图 2. 分光光度计及实验环境
Fig. 2. Spectrophotometer and experimental environment
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图 3. 不同浓度颜料的光谱反射率曲线图。(a)石青;(b)石绿;(c)银朱;(d)铅丹
Fig. 3. Spectral reflectance curves of pigments with different concentrations. (a) Azurite; (b) malachite green; (c) vermilion; (d) red lead
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表 1古代壁画常用颜料
Table1. Frequently-used pigments of ancient frescoes
| Colour | Pigment |
|---|
| Mineral | Animal and plant |
|---|
| White | Chalk (lime, calcite),ceruse | Clamshellpowder | | Red | Iron oxide red(ochre,red soil,vermilion, and red lead) | Rouge | | Yellow | Naturals, realgar | Gamboge,Zhi Huang | | Green | Malachite green(malachite) | Zhi Lü | | Blue | Azurite, ultramarine | Anthocyanin | | Black | Black | | Gold | Gold mud | | Silver | Silver mud | | Glue | Bovine glue (bone glue) |
|
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表 2光谱信息散度方法的匹配结果
Table2. Spectral matching results of SID method
| Pigment | Azurite | Malachitegreen | Vermilion | Red lead |
|---|
| Azurite | 0.0150 | 0.1041 | 0.4907 | 0.6251 | | Malachite green | 0.1054 | 0.0163 | 0.6625 | 0.7547 | | Vermilion | 0.4621 | 0.5879 | 0.0005 | 0.0210 | | Red lead | 0.6538 | 0.7381 | 0.0269 | 0.0007 |
|
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表 3光谱角填图方法的匹配结果
Table3. Spectral matching results of SAM method
| Pigment | Azurite | Malachitegreen | Vermilion | Red lead |
|---|
| Azurite | 0.1215 | 0.4360 | 0.8940 | 0.9350 | | Malachite green | 0.4484 | 0.1136 | 1.0335 | 1.0367 | | Vermilion | 0.8650 | 0.9762 | 0.0252 | 0.1313 | | Red lead | 0.9212 | 0.9935 | 0.1394 | 0.0157 |
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表 4光谱相似度匹配方法匹配结果
Table4. Spectral matching results of SCF method
| Pigment | Azurite | Malachitegreen | Vermilion | Red lead |
|---|
| Azurite | 0.0402 | 0.4378 | 1.6788 | 1.7482 | | Malachitegreen | 0.4222 | 0.0238 | 1.8032 | 1.7466 | | Vermilion | 1.5290 | 1.7007 | 0.0012 | 0.0293 | | Red lead | 1.6112 | 1.6544 | 0.0312 | 0.0001 |
|
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表 5SMSID方法匹配结果
Table5. Spectral matching results of SMSID method
| Pigment | Azurite | Malachite green | Vermilion | Red lead |
|---|
| Azurite | 0.221×10-12 | 0.688×10-11 | 0.808×10-11 | 0.107×10-10 | | Malachite green | 0.688×10-11 | 0.207×10-12 | 0.108×10-10 | 0.227×10-10 | | Vermilion | 0.968×10-11 | 0.845×10-11 | 0.577×10-13 | 0.201×10-11 | | Red lead | 0.141×10-10 | 0.209×10-10 | 0.245×10-11 | 0.973×10-14 |
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表 64种匹配方法的结果对比
Table6. Results comparison of four spectral matching methods
| Pigment | SMSID | SID | SAM | SCF |
|---|
| Azurite | 0.221×10-12 | 0.0150 | 0.1215 | 0.0402 | | Malachitegreen | 0.207×10-12 | 0.0163 | 0.1136 | 0.0238 | | Vermilion | 0.577×10-13 | 0.0005 | 0.0252 | 0.0012 | | Red lead | 0.973×10-14 | 0.0007 | 0.0157 | 0.0001 |
|
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王伟超, 王慧琴, 王可, 王展. 一种基于统计流形的光谱信息散度颜料识别方法[J]. 激光与光电子学进展, 2018, 55(1): 013002. Wang Weichao, Wang Huiqin, Wang Ke, Wang Zhan. An Identification Method of Spectral Information Divergence Pigment Based on Statistical Manifold[J]. Laser & Optoelectronics Progress, 2018, 55(1): 013002.
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