Tensor decomposition for painting analysis. Part 2: spatio-temporal simulation
Abstract In a previous article, we modelled the spectral and temporal dimensions of the photodegradation behaviour of pigments in the painting “A Japanese Lantern” by Oda Krohg. In particular, we extracted the endmembers and spectral fading rate of pigments by applying tensor decomposition on a time...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | Heritage Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s40494-023-00913-8 |
| _version_ | 1797836324895457280 |
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| author | Irina M. Ciortan Tina G. Poulsson Sony George Jon Y. Hardeberg |
| author_facet | Irina M. Ciortan Tina G. Poulsson Sony George Jon Y. Hardeberg |
| author_sort | Irina M. Ciortan |
| collection | DOAJ |
| description | Abstract In a previous article, we modelled the spectral and temporal dimensions of the photodegradation behaviour of pigments in the painting “A Japanese Lantern” by Oda Krohg. In particular, we extracted the endmembers and spectral fading rate of pigments by applying tensor decomposition on a time-series of spectroscopic point measurements. Now, we capture the same painting with a hyperspectral imaging setup and propose an approach to render the fading effects as 2D images. More precisely, from the hyperspectral image, we compute the concentration maps of each previously identified endmember with a least-squares unmixing method. Subsequently, by using tensor algebra, we multiply the concentration maps with the endmembers and their corresponding fading rate and obtain a 4D tensor where each pixel in the image is described by a spectrum and a fading function. This way, we generate past and future spatio-temporal simulations of the painting’s appearance by reversing and elevating light exposure, respectively. |
| first_indexed | 2024-04-09T15:06:59Z |
| format | Article |
| id | doaj.art-06d7c9ec299f4fec84c6d034e66b16f6 |
| institution | Directory Open Access Journal |
| issn | 2050-7445 |
| language | English |
| last_indexed | 2024-04-09T15:06:59Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Heritage Science |
| spelling | doaj.art-06d7c9ec299f4fec84c6d034e66b16f62023-04-30T11:23:47ZengSpringerOpenHeritage Science2050-74452023-04-0111111210.1186/s40494-023-00913-8Tensor decomposition for painting analysis. Part 2: spatio-temporal simulationIrina M. Ciortan0Tina G. Poulsson1Sony George2Jon Y. Hardeberg3Department of Computer Science, NTNU - Norwegian University of Science and TechnologyCollection Management, National MuseumDepartment of Computer Science, NTNU - Norwegian University of Science and TechnologyDepartment of Computer Science, NTNU - Norwegian University of Science and TechnologyAbstract In a previous article, we modelled the spectral and temporal dimensions of the photodegradation behaviour of pigments in the painting “A Japanese Lantern” by Oda Krohg. In particular, we extracted the endmembers and spectral fading rate of pigments by applying tensor decomposition on a time-series of spectroscopic point measurements. Now, we capture the same painting with a hyperspectral imaging setup and propose an approach to render the fading effects as 2D images. More precisely, from the hyperspectral image, we compute the concentration maps of each previously identified endmember with a least-squares unmixing method. Subsequently, by using tensor algebra, we multiply the concentration maps with the endmembers and their corresponding fading rate and obtain a 4D tensor where each pixel in the image is described by a spectrum and a fading function. This way, we generate past and future spatio-temporal simulations of the painting’s appearance by reversing and elevating light exposure, respectively.https://doi.org/10.1186/s40494-023-00913-8Spatio-temporal simulationTensor algebraMicrofadingSpectral photodegradation |
| spellingShingle | Irina M. Ciortan Tina G. Poulsson Sony George Jon Y. Hardeberg Tensor decomposition for painting analysis. Part 2: spatio-temporal simulation Heritage Science Spatio-temporal simulation Tensor algebra Microfading Spectral photodegradation |
| title | Tensor decomposition for painting analysis. Part 2: spatio-temporal simulation |
| title_full | Tensor decomposition for painting analysis. Part 2: spatio-temporal simulation |
| title_fullStr | Tensor decomposition for painting analysis. Part 2: spatio-temporal simulation |
| title_full_unstemmed | Tensor decomposition for painting analysis. Part 2: spatio-temporal simulation |
| title_short | Tensor decomposition for painting analysis. Part 2: spatio-temporal simulation |
| title_sort | tensor decomposition for painting analysis part 2 spatio temporal simulation |
| topic | Spatio-temporal simulation Tensor algebra Microfading Spectral photodegradation |
| url | https://doi.org/10.1186/s40494-023-00913-8 |
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