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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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥17,550,000 (Direct Cost: ¥13,500,000、Indirect Cost: ¥4,050,000)
Fiscal Year 2015: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2014: ¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
Fiscal Year 2013: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2012: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
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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 / タイル / 図地反転アート / エッシャー化 / ロバスト幾何計算 / 錯視効果 / 多義立体 / フットステップ錯視 / 単一タイルアート / タイリング可能条件 / 格子パターン |
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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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Report
(5 results)
Research Products
(36 results)
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[Presentation] Escher-Like Tilings with Weights2015
Author(s)
S. Imahori, S. Kawade, Y. Yamakata
Organizer
18th Japan Conference on Discrete and Computational Geometry and Graphs
Place of Presentation
Kyoto
Year and Date
2015-09-14
Related Report
Int'l Joint Research
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[Book] 錯視図鑑2012
Author(s)
杉原厚吉
Total Pages
199
Publisher
誠文堂新光社
Related Report
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