2015 Fiscal Year Final Research Report
Tiling Engineering: Computation of Tiles Close to Desired Figures
| Project/Area Number |
24360039
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Partial Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Meiji University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
IMAHORI SHINJI 中央大学, 理工学部, 教授 (90396789)
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Keywords | 数理工学 / タイル貼り / 図地反転 / 錯視アート / エッシャー |
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| Outline of Final Research Achievements |
Algorithms for creating tiling patterns were constructed for two types of artistic styles of tiling proposed by Dutch artist Escher. The first style is a regular subdivision of the plane. An existing algorithm for finding a tilable pattern closest to an input figure was improved so that the important features of the input figure are preserved in finding the closeset tilable pattern. The second style is a figure-ground reversal in Escher's artpiece "Sky and Water".
The figure-ground interaction of two figures was extended to the interaction of three figures. Moreover, the figure-ground reversal was extended to the reversal depending on the view directions, while Eshcer's original style is the reversal depending on the locations. The resulting algorithms can be used by non-specialists to create artistic patterns automatically.
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| Free Research Field |
数理工学
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