Image‐based spectral reflectance reconstruction using the matrix R method

Zhao, Yonghui; Berns, Roy S.

doi:10.1002/col.20341

Cited by 100 publications

(80 citation statements)

References 27 publications

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“…In fact, the matrix R method is a learning-based reconstruction method, and its performance depends on the calibration set. 4 Since four out of six employed primaries were violets, blue and yellow, which exhibited significant transmission at the two ends of the visible spectrum, better learning i.e. smaller spectral differences, were achieved in such regions.…”

Section: Resultsmentioning

confidence: 99%

“…4 The second set of tristimulus values were predicted from camera signals by employing the classical colorimetric characterization method. The proposed transformation matrix, shown by TC, can be calculated by…”

Section: Colorimetric Characterizationmentioning

confidence: 99%

“…During the last decade, great attention has been paid to estimate spectral data from colorimetric information, mostly in the RGB form. [1][2][3][4][5] Spectral reconstruction techniques are one of many problems which employ different mathematical solutions, and can generally be classified in various categories. One of the most applicable techniques is called learning-based or indirect reconstruction, which needs a calibration target to achieve a relationship between camera signals and spectral information.…”

Section: Introductionmentioning

confidence: 99%

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Estimation of the Concentration of Dyes in Clear Solutions Using a Digital Camera

2010

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where Si(λ) is the spectral sensitivity of each channel i (i = 1,...,P), E(λ) and R(λ) refers to the spectral power of the light 2010 © The Japan Society for Analytical Chemistry † To whom correspondence should be addressed. The RGB values obtained from a digital camera were employed for reconstruction of spectral data of transparent colored solutions. A capturing box was assembled, and a spectral dataset gathered from colored solutions was used for this purpose. The matrix R method was employed to reconstruct the spectral transmission from RGB data. Two different light sources i.e. fluorescent and halogen lamps, were employed to achieve two sets of camera responses. The results of spectral transmission recovery confirmed the applicability of the matrix R method by the value of 3.24% as the average of root mean square percentage errors between the actual and reconstructed spectra. The reconstructed transmissions were converted to absorbance spectra, and the concentrations of colored solutions were simply estimated by Beer's Law. The estimated concentrations were within the acceptable concentrations errors for some types of applications, such as estimating the amount of dyestuff in the dye solution.

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Section: Resultsmentioning

confidence: 99%

Section: Colorimetric Characterizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Estimation of the Concentration of Dyes in Clear Solutions Using a Digital Camera

2010

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“…For example, spectral data are useful for pigment identification [14], especially when a database of frequently used pigments is available [15]. These data are then used for physical characterization, forensic work, lighting purposes [16] and others [17,18].…”

Section: Introductionmentioning

confidence: 99%

Spectral damage model for lighted museum paintings: Oil, acrylic and gouache

Pinilla

Vázquez

Fernández-Balbuena

et al. 2016

Journal of Cultural Heritage

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A spectral aging test was developed to estimate the photochemical damage of oil, acrylic and gouache paints exposed to permanent lighting. The paints were irradiated at seven different wavelengths in the optical range to control and evaluate their spectral behaviour. To reach this objective, boxes with isolated aging cells were made.In each of box, one LED of a different wavelength and one photodiode were installed.Inside the boxes, the temperature of an exhibit area was recreated through a thermocouple sensor that controlled the temperature using a fan. The heat produced by the LED was dissipated by a thermal radiator. Moreover, to evaluate the exposure time dependence of the irradiation level, the test was performed using two different irradiation levels in ten exposure series. After each series, the spectral reflectance was measured, and the data collected for each paint and wavelength were used to develop a model of damage produced by the interaction between the spectral radiant exposure and the paint.-2 -Keywords: aging, photochemical effect, paint samples, relative damage, spectral radiant Research aimsA spectral aging test for visible radiation was developed for oil, acrylic and gouache paints. The study was conducted at high and low levels of radiation, and the results were consistent at both levels. To conduct the test, boxes of accelerated aging using The temporal component has a significant influence in the process. If only certain some areas of a painting were restored, their aging time is different than that of the areas that were not restored. The colour shifts are higher when the paint is new. As a consequence, after some time, the colour of the restored areas will be different than the original colour. The proposed model could be applied to the development of optimized illuminant used in artworks painted with materials similar to those analysed in the present study.

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“…The spectral reconstruction method, referred to as the Matrix R method, can achieve high spectral and colorimetric accuracies for a certain combination of illuminant and observer. [5] The camera system and the reconstruction method were used in this investigation to retrieve spectral reflectance factor of each pixel of the painting.…”

Section: Introductionmentioning

confidence: 99%

An investigation of multispectral imaging for the mapping of pigments in paintings

et al. 2008

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Compared with colorimetric imaging, multispectral imaging has the advantage of retrieving spectral reflectance factor of each pixel of a painting. Using this spectral information, pigment mapping is concerned with decomposing the spectrum into its constituent pigments and their relative contributions. The output of pigment mapping is a series of spatial concentration maps of the pigments comprising the painting. This approach was used to study Vincent van Gogh's The Starry Night. The artist's palette was approximated using ten oil pigments, selected from a large database of pigments used in oil paintings and a priori analytical research on one of his self portraits, executed during the same time period. The pigment mapping was based on single-constant Kubelka-Munk theory. It was found that the region of blue sky where the stars were located contained, predominantly, ultramarine blue while the swirling sky and region surrounding the moon contained, predominantly, cobalt blue. Emerald green, used in light bluish-green brushstrokes surrounding the moon, was not used to create the dark green in the cypresses. A measurement of lead white from Georges Seurat's La Grande Jatte was used as the white when mapping The Starry Night. The absorption and scattering properties of this white were replaced with a modern dispersion of lead white in linseed oil and used to simulate the painting's appearance before the natural darkening and yellowing of lead white oil paint. Pigment mapping based on spectral imaging was found to be a viable and practical approach for analyzing pigment composition, providing new insight into an artist's working method, the possibility for aiding in restorative inpainting, and lighting design.

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Image‐based spectral reflectance reconstruction using the matrix R method

Cited by 100 publications

References 27 publications

Estimation of the Concentration of Dyes in Clear Solutions Using a Digital Camera

Estimation of the Concentration of Dyes in Clear Solutions Using a Digital Camera

Spectral damage model for lighted museum paintings: Oil, acrylic and gouache

An investigation of multispectral imaging for the mapping of pigments in paintings

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