Nonlinear Unmixing of Hyperspectral Datasets for the Study of Painted Works of Art. Rohani, N., Pouyet, E., Walton, M., Cossairt, O., & Katsaggelos, A. K. Angewandte Chemie International Edition, 57(34):10910–10914, aug, 2018.
Nonlinear Unmixing of Hyperspectral Datasets for the Study of Painted Works of Art [link]Paper  doi  abstract   bibtex   
Nonlinear unmixing of hyperspectral reflectance data is one of the key problems in quantitative imaging of painted works of art. The approach presented is to interrogate a hyperspectral image cube by first decomposing it into a set of reflectance curves representing pure basis pigments and second to estimate the scattering and absorption coefficients of each pigment in a given pixel to produce estimates of the component fractions. This two-step algorithm uses a deep neural network to qualitatively identify the constituent pigments in any unknown spectrum and, based on the pigment(s) present and Kubelka–Munk theory to estimate the pigment concentration on a per-pixel basis. Using hyperspectral data acquired on a set of mock-up paintings and a well-characterized illuminated folio from the 15th century, the performance of the proposed algorithm is demonstrated for pigment recognition and quantitative estimation of concentration.
@article{Neda2018a,
abstract = {Nonlinear unmixing of hyperspectral reflectance data is one of the key problems in quantitative imaging of painted works of art. The approach presented is to interrogate a hyperspectral image cube by first decomposing it into a set of reflectance curves representing pure basis pigments and second to estimate the scattering and absorption coefficients of each pigment in a given pixel to produce estimates of the component fractions. This two-step algorithm uses a deep neural network to qualitatively identify the constituent pigments in any unknown spectrum and, based on the pigment(s) present and Kubelka–Munk theory to estimate the pigment concentration on a per-pixel basis. Using hyperspectral data acquired on a set of mock-up paintings and a well-characterized illuminated folio from the 15th century, the performance of the proposed algorithm is demonstrated for pigment recognition and quantitative estimation of concentration.},
author = {Rohani, Neda and Pouyet, Emeline and Walton, Marc and Cossairt, Oliver and Katsaggelos, Aggelos K.},
doi = {10.1002/anie.201805135},
issn = {14337851},
journal = {Angewandte Chemie International Edition},
keywords = {deep neural network classification,heritage science,nonlinear unmixing Kubelka–Munk theory,visible hyperspectral imaging},
month = {aug},
number = {34},
pages = {10910--10914},
pmid = {29940088},
title = {{Nonlinear Unmixing of Hyperspectral Datasets for the Study of Painted Works of Art}},
url = {https://onlinelibrary.wiley.com/doi/10.1002/anie.201805135},
volume = {57},
year = {2018}
}

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