Spectral Reflectance Reconstruction Based on Dimension Reduction Regularization Polynomials

Ke Wang; Huiqin Wang; Yanqun Long; Weichao Wang; Lijuan Zhao; Lei Yang

doi:10.3788/LOP55.053004

Laser & Optoelectronics Progress, Volume. 55, Issue 5, 053004(2018)

Spectral Reflectance Reconstruction Based on Dimension Reduction Regularization Polynomials

Ke Wang^{1,2、1; 2;}, Huiqin Wang^{1,2、1; 2;}, Yanqun Long^1、2;, Weichao Wang^1、2;, Lijuan Zhao^1、2;, and Lei Yang^1、2;

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

¹ School of Management, Xi'an University of Architecture and Technology, Xi'an, Shaanxi 710055, China

² School of Information and Control Engineering, Xi'an University of Architecture and Technology, Xi'an, Shaanxi 710055, China

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Figures & Tables(13)

Fig. 1. Multispectral camera

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Fig. 2. Transmissivity curve of filter

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Fig. 3. Relationship between training sample number and mean RMSE of reconstructed spectral reflectance

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Fig. 4. Regularization parameters obtained by L-curve method. (a) Training result 1; (b) training result 2

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Fig. 5. RMSE of 20 testing samples with three reconstruction methods

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Fig. 6. Spectral reflectance curves with three reconstruction methods. (a) xISSD=0.022; (b) xISSD=0.121; (c) xISSD=0.351

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Fig. 7. Mural referential color patches and multispectral images. (a) Markings of mural referential color patches; (b) multispectral images with 11 channels

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Fig. 8. CIELAB chromaticity distribution space of mural referential color patches obtained by different reconstruction methods

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Fig. 9. Reconstructed and measured spectral reflectance curves of six referential color patches of mural. (a) Color patch 1; (b) color patch 2; (c) color patch 3; (d) color patch 4; (e) color patch 5; (f) color patch 6

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Table 1. CVC, color difference, and RMSE with different principal component numbers
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Table 1. CVC, color difference, and RMSE with different principal component numbers
k CVC /% Mean ΔE Mean RMSE
5 98.87 0.717 0.082
6 99.95 0.430 0.058
7 99.89 0.424 0.042
8 99.99 0.263 0.033

Table 2. Color difference and RMSE with different polynomial term numbers
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Table 2. Color difference and RMSE with different polynomial term numbers
n Mean ΔE Mean RMSE
6 0.482 0.032
9 0.383 0.023
12 0.361 0.020
14 0.345 0.020
18 0.341 0.019

Table 3. Spectral reflectance reconstruction accuracies of PCA, PRE and DRRP methods

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Table 3. Spectral reflectance reconstruction accuracies of PCA, PRE and DRRP methods

Method	RMSE			GFC /%			ISSD			ΔE
Method	Mean	Minimum	Maximum	Mean	Minimum	Maximum	Mean	Minimum	Maximum	Mean	Minimum	Maximum
PCA	0.058	0.012	0.106	98.20	93.53	99.63	0.146	0.064	0.637	0.430	0.172	0.931
PRE	0.020	0.011	0.042	98.17	92.53	99.74	0.160	0.021	0.556	0.361	0.064	0.766
DRRP	0.018	0.007	0.032	99.51	98.81	99.96	0.106	0.011	0.359	0.283	0.060	0.412

Table 4. Spectral reflectance reconstruction accuracies of six referential color patches of mural

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Table 4. Spectral reflectance reconstruction accuracies of six referential color patches of mural

Number of referentialcolor patches	DRRP method			PRE method			PCA method
Number of referentialcolor patches	RMSE	GFC /%	ISSD	RMSE	GFC /%	ISSD	RMSE	GFC /%	ISSD
1	0.0123	99.63	0.0931	0.0145	98.43	0.1429	0.0562	97.78	0.1325
2	0.0112	99.21	0.1568	0.0178	98.15	0.2047	0.0593	97.01	0.1930
3	0.0317	99.18	0.1613	0.0347	98.07	0.2163	0.0712	96.81	0.2013
4	0.0194	99.42	0.1236	0.0239	98.21	0.1745	0.0674	97.23	0.1701
5	0.0376	99.09	0.1702	0.0462	98.82	0.2213	0.0820	97.86	0.2113
6	0.0115	99.78	0.1072	0.0177	98.65	0.1586	0.0489	98.01	0.1489
Mean	0.0206	99.39	0.1353	0.0258	98.39	0.1864	0.0675	97.45	0.1761

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Ke Wang, Huiqin Wang, Yanqun Long, Weichao Wang, Lijuan Zhao, Lei Yang. Spectral Reflectance Reconstruction Based on Dimension Reduction Regularization Polynomials[J]. Laser & Optoelectronics Progress, 2018, 55(5): 053004

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Paper Information

Category: Spectroscopy

Received: Oct. 20, 2017

Accepted: --

Published Online: Sep. 11, 2018

The Author Email: Wang Ke (wangke@xauat.edu.cn)

DOI:10.3788/LOP55.053004

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. CVC, color difference, and RMSE with different principal component numbers

Table 1. CVC, color difference, and RMSE with different principal component numbers

Table 2. Color difference and RMSE with different polynomial term numbers

Table 2. Color difference and RMSE with different polynomial term numbers

Table 3. Spectral reflectance reconstruction accuracies of PCA, PRE and DRRP methods

Table 3. Spectral reflectance reconstruction accuracies of PCA, PRE and DRRP methods

Table 4. Spectral reflectance reconstruction accuracies of six referential color patches of mural

Table 4. Spectral reflectance reconstruction accuracies of six referential color patches of mural