A new method to analyse mosaics based on Symmetry Group theory applied to Islamic Geometric Patterns
This article presents a new method for analysing mosaics based on the mathematical principles of Symmetry Groups. This method has been developed to get the understanding present in patterns by extracting the objects that form them, their lattice, and the Wallpaper Group. The main novelty of this met...
| Autores principales: | , , , , |
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| Formato: | article |
| Lenguaje: | Inglés |
| Publicado: |
2017
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| Acceso en línea: | http://hdl.handle.net/20.500.11939/5243 https://www.sciencedirect.com/science/article/abs/pii/S1077314214001842?via%3Dihub |
| _version_ | 1855032247511416832 |
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| author | Albert, Francisco Gomis, J. M. Blasco, José Valiente, José Miguel Aleixos, Nuria |
| author_browse | Albert, Francisco Aleixos, Nuria Blasco, José Gomis, J. M. Valiente, José Miguel |
| author_facet | Albert, Francisco Gomis, J. M. Blasco, José Valiente, José Miguel Aleixos, Nuria |
| author_sort | Albert, Francisco |
| collection | ReDivia |
| description | This article presents a new method for analysing mosaics based on the mathematical principles of Symmetry Groups. This method has been developed to get the understanding present in patterns by extracting the objects that form them, their lattice, and the Wallpaper Group. The main novelty of this method resides in the creation of a higher level of knowledge based on objects, which makes it possible to classify the objects, to extract their main features (Point Group, principal axes, etc.), and the relationships between them. In order to validate the method, several tests were carried out on a set of Islamic Geometric Patterns from different sources, for which the Wallpaper Group has been successfully obtained in 85% of the cases. This method can be applied to any kind of pattern that presents a Wallpaper Group. Possible applications of this computational method include pattern classification, cataloguing of ceramic coatings, creating databases of decorative patterns, creating pattern designs, pattern comparison between different cultures, tile cataloguing, and so on. |
| format | article |
| id | ReDivia5243 |
| institution | Instituto Valenciano de Investigaciones Agrarias (IVIA) |
| language | Inglés |
| publishDate | 2017 |
| publishDateRange | 2017 |
| publishDateSort | 2017 |
| record_format | dspace |
| spelling | ReDivia52432025-04-25T14:45:44Z A new method to analyse mosaics based on Symmetry Group theory applied to Islamic Geometric Patterns Albert, Francisco Gomis, J. M. Blasco, José Valiente, José Miguel Aleixos, Nuria This article presents a new method for analysing mosaics based on the mathematical principles of Symmetry Groups. This method has been developed to get the understanding present in patterns by extracting the objects that form them, their lattice, and the Wallpaper Group. The main novelty of this method resides in the creation of a higher level of knowledge based on objects, which makes it possible to classify the objects, to extract their main features (Point Group, principal axes, etc.), and the relationships between them. In order to validate the method, several tests were carried out on a set of Islamic Geometric Patterns from different sources, for which the Wallpaper Group has been successfully obtained in 85% of the cases. This method can be applied to any kind of pattern that presents a Wallpaper Group. Possible applications of this computational method include pattern classification, cataloguing of ceramic coatings, creating databases of decorative patterns, creating pattern designs, pattern comparison between different cultures, tile cataloguing, and so on. 2017-06-01T10:11:57Z 2017-06-01T10:11:57Z 2015 JAN 2015 article acceptedVersion Albert, F., Gomis, J.M., Blasco, J., Valiente, J.M., Aleixos, N. (2015). A new method to analyse mosaics based on Symmetry Group theory applied to Islamic Geometric Patterns. Computer Vision and Image Understanding, 130, 54-70. 1077-3142 http://hdl.handle.net/20.500.11939/5243 10.1016/j.cviu.2014.09.002 https://www.sciencedirect.com/science/article/abs/pii/S1077314214001842?via%3Dihub en openAccess Impreso |
| spellingShingle | Albert, Francisco Gomis, J. M. Blasco, José Valiente, José Miguel Aleixos, Nuria A new method to analyse mosaics based on Symmetry Group theory applied to Islamic Geometric Patterns |
| title | A new method to analyse mosaics based on Symmetry Group theory applied to Islamic Geometric Patterns |
| title_full | A new method to analyse mosaics based on Symmetry Group theory applied to Islamic Geometric Patterns |
| title_fullStr | A new method to analyse mosaics based on Symmetry Group theory applied to Islamic Geometric Patterns |
| title_full_unstemmed | A new method to analyse mosaics based on Symmetry Group theory applied to Islamic Geometric Patterns |
| title_short | A new method to analyse mosaics based on Symmetry Group theory applied to Islamic Geometric Patterns |
| title_sort | new method to analyse mosaics based on symmetry group theory applied to islamic geometric patterns |
| url | http://hdl.handle.net/20.500.11939/5243 https://www.sciencedirect.com/science/article/abs/pii/S1077314214001842?via%3Dihub |
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