An Identification Method of Spectral Information Divergence Pigment Based on Statistical Manifold

Wang Weichao; Wang Huiqin; Wang Ke; Wang Zhan

doi:10.3788/LOP55.013002

Journals >Laser & Optoelectronics Progress >Volume 55 >Issue 1 >Page 13002 > Article

Laser & Optoelectronics Progress
Vol. 55, Issue 1, 13002 (2018)

An Identification Method of Spectral Information Divergence Pigment Based on Statistical Manifold

Wang Weichao¹, Wang Huiqin^1、*, Wang Ke¹, and Wang Zhan²

Author Affiliations

¹School of Information and Control Engineering, Xi''an University of Architecture and Technology, Xi''an, Shaanxi 710055, China

²Shaanxi Provincial Institute of Cultural Relics Protection, Xi''an, Shaanxi 710075, China

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DOI: 10.3788/LOP55.013002 Cite this Article Set citation alerts

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): 13002 Copy Citation Text

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Fig. 1. Four kinds of mineral pigment samples of azurite, malachite green, vermilion, and red lead

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Fig. 2. Spectrophotometer and experimental environment

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Fig. 3. Spectral reflectance curves of pigments with different concentrations. (a) Azurite; (b) malachite green; (c) vermilion; (d) red lead

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Colour	Pigment
Colour	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)

Table 1. Frequently-used pigments of ancient frescoes

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

Table 2. Spectral matching results of SID 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

Table 3. Spectral matching results of SAM 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

Table 4. Spectral matching results of SCF 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

Table 5. Spectral matching results of SMSID method

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

Table 6. Results comparison of four spectral matching methods

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