The mathematical expression of damage law of museum lighting on dyed artworks

Abstract Dyed artworks are highly sensitive to light and are easily affected by museum lighting, resulting in irreversible permanent color damage such as fading and discoloration. Exposure, light source spectrum and material properties are the three indicators causing damage to artworks. Therefore,...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Rui Dang, Baoping Wang, Xiangyang Song, Fenghui Zhang, Gang Liu
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/5eeb9ef601c74da99dad629bc60ed9e4
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:5eeb9ef601c74da99dad629bc60ed9e4
record_format	dspace
spelling	oai:doaj.org-article:5eeb9ef601c74da99dad629bc60ed9e42021-12-02T15:49:39ZThe mathematical expression of damage law of museum lighting on dyed artworks10.1038/s41598-021-90520-z2045-2322https://doaj.org/article/5eeb9ef601c74da99dad629bc60ed9e42021-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-90520-zhttps://doaj.org/toc/2045-2322Abstract Dyed artworks are highly sensitive to light and are easily affected by museum lighting, resulting in irreversible permanent color damage such as fading and discoloration. Exposure, light source spectrum and material properties are the three indicators causing damage to artworks. Therefore, it is the basis for effective lighting protection to reveal the quantitative influence of exposure and light source spectrum composition on the damage degree of different pigments and establish a mathematical model that can accurately express the above rules. At present, the color damage calculation model of dyed artworks under three parameters’ coupling action is missing. This research established a visual three-dimensional change surface of the color difference values of 23 pigments varying with the spectral wavelength and exposure through experimental methods. The relative responsivity function ΔE n = f n (λ, Q), where n = 1 ~ 23, was obtained for 23 pigments under the coupling effects of exposure and light source spectra. Furthermore, a mathematical model $$D_{n} = \mathop \smallint \limits_{380}^{780} S\left( \lambda \right) \cdot f_{n} \left( {\lambda ,Q} \right)d\lambda$$ D n = ∫ 380 780 S λ · f n λ , Q d λ calculating the color damage of pigments in the range of visible light was proposed. The proposed model was verified by the experimental method, which realizes the mathematical expression of the damage law of museum lighting on dyed artworks.Rui DangBaoping WangXiangyang SongFenghui ZhangGang LiuNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Rui Dang Baoping Wang Xiangyang Song Fenghui Zhang Gang Liu The mathematical expression of damage law of museum lighting on dyed artworks
description	Abstract Dyed artworks are highly sensitive to light and are easily affected by museum lighting, resulting in irreversible permanent color damage such as fading and discoloration. Exposure, light source spectrum and material properties are the three indicators causing damage to artworks. Therefore, it is the basis for effective lighting protection to reveal the quantitative influence of exposure and light source spectrum composition on the damage degree of different pigments and establish a mathematical model that can accurately express the above rules. At present, the color damage calculation model of dyed artworks under three parameters’ coupling action is missing. This research established a visual three-dimensional change surface of the color difference values of 23 pigments varying with the spectral wavelength and exposure through experimental methods. The relative responsivity function ΔE n = f n (λ, Q), where n = 1 ~ 23, was obtained for 23 pigments under the coupling effects of exposure and light source spectra. Furthermore, a mathematical model $$D_{n} = \mathop \smallint \limits_{380}^{780} S\left( \lambda \right) \cdot f_{n} \left( {\lambda ,Q} \right)d\lambda$$ D n = ∫ 380 780 S λ · f n λ , Q d λ calculating the color damage of pigments in the range of visible light was proposed. The proposed model was verified by the experimental method, which realizes the mathematical expression of the damage law of museum lighting on dyed artworks.
format	article
author	Rui Dang Baoping Wang Xiangyang Song Fenghui Zhang Gang Liu
author_facet	Rui Dang Baoping Wang Xiangyang Song Fenghui Zhang Gang Liu
author_sort	Rui Dang
title	The mathematical expression of damage law of museum lighting on dyed artworks
title_short	The mathematical expression of damage law of museum lighting on dyed artworks
title_full	The mathematical expression of damage law of museum lighting on dyed artworks
title_fullStr	The mathematical expression of damage law of museum lighting on dyed artworks
title_full_unstemmed	The mathematical expression of damage law of museum lighting on dyed artworks
title_sort	mathematical expression of damage law of museum lighting on dyed artworks
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/5eeb9ef601c74da99dad629bc60ed9e4
work_keys_str_mv	AT ruidang themathematicalexpressionofdamagelawofmuseumlightingondyedartworks AT baopingwang themathematicalexpressionofdamagelawofmuseumlightingondyedartworks AT xiangyangsong themathematicalexpressionofdamagelawofmuseumlightingondyedartworks AT fenghuizhang themathematicalexpressionofdamagelawofmuseumlightingondyedartworks AT gangliu themathematicalexpressionofdamagelawofmuseumlightingondyedartworks AT ruidang mathematicalexpressionofdamagelawofmuseumlightingondyedartworks AT baopingwang mathematicalexpressionofdamagelawofmuseumlightingondyedartworks AT xiangyangsong mathematicalexpressionofdamagelawofmuseumlightingondyedartworks AT fenghuizhang mathematicalexpressionofdamagelawofmuseumlightingondyedartworks AT gangliu mathematicalexpressionofdamagelawofmuseumlightingondyedartworks
_version_	1718385691637841920

The mathematical expression of damage law of museum lighting on dyed artworks

Ejemplares similares