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Creation of Dihedral Escher-like Tilings Based on As-Rigid-As-Possible Deformation
https://tokushima-u.repo.nii.ac.jp/records/2000074
https://tokushima-u.repo.nii.ac.jp/records/2000074f9b52695-d9a1-40f0-b0ff-b9979cf12df7
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
acmtg_43_2_18.pdf (9.5 MB)
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| Item type | 文献 / Documents(1) | |||||||||||||
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| 公開日 | 2024-09-04 | |||||||||||||
| アクセス権 | ||||||||||||||
| アクセス権 | open access | |||||||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||||
| 資源タイプ | ||||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||||
| 資源タイプ | journal article | |||||||||||||
| 出版社版DOI | ||||||||||||||
| 識別子タイプ | DOI | |||||||||||||
| 関連識別子 | https://doi.org/10.1145/3638048 | |||||||||||||
| 言語 | ja | |||||||||||||
| 関連名称 | 10.1145/3638048 | |||||||||||||
| 出版タイプ | ||||||||||||||
| 出版タイプ | VoR | |||||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||
| タイトル | ||||||||||||||
| タイトル | Creation of Dihedral Escher-like Tilings Based on As-Rigid-As-Possible Deformation | |||||||||||||
| 言語 | en | |||||||||||||
| 著者 |
永田, 裕一
× 永田, 裕一
WEKO
695
× Imahori, Shinji
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| 抄録 | ||||||||||||||
| 内容記述タイプ | Abstract | |||||||||||||
| 内容記述 | An Escher-like tiling is a tiling consisting of one or a few artistic shapes of tile. This article proposes a method for generating Escher-like tilings consisting of two distinct shapes (dihedral Escher-like tilings) that are as similar as possible to the two goal shapes specified by the user. This study is an extension of a previous study that successfully generated Escher-like tilings consisting of a single tile shape for a single goal shape. Building upon the previous study, our method attempts to exhaustively search for which parts of the discretized tile contours are adjacent to each other to form a tiling. For each configuration, two tile shapes are optimized to be similar to the given two goal shapes. By evaluating the similarity based on as-rigid-as possible deformation energy, the optimized tile shapes preserve the local structures of the goal shapes, even if substantial deformations are necessary to form a tiling. However, in the dihedral case, this approach is seemingly unrealistic because it suffers from the complexity of the energy function and the combinatorial explosion of the possible configurations. We developed a method to address these issues and show that the proposed algorithms can generate satisfactory dihedral Escher-like tilings in a realistic computation time, even for somewhat complex goal shapes. | |||||||||||||
| 言語 | en | |||||||||||||
| キーワード | ||||||||||||||
| 言語 | en | |||||||||||||
| 主題Scheme | Other | |||||||||||||
| 主題 | Tilings | |||||||||||||
| キーワード | ||||||||||||||
| 言語 | en | |||||||||||||
| 主題Scheme | Other | |||||||||||||
| 主題 | dihedral escherization | |||||||||||||
| キーワード | ||||||||||||||
| 言語 | en | |||||||||||||
| 主題Scheme | Other | |||||||||||||
| 主題 | Escher tiling | |||||||||||||
| キーワード | ||||||||||||||
| 言語 | en | |||||||||||||
| 主題Scheme | Other | |||||||||||||
| 主題 | as-rigid-as-possible deformation | |||||||||||||
| 書誌情報 |
en : ACM Transactions on Graphics 巻 43, 号 2, p. 18, 発行日 2024-01-22 |
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| 収録物ID | ||||||||||||||
| 収録物識別子タイプ | ISSN | |||||||||||||
| 収録物識別子 | 07300301 | |||||||||||||
| 収録物ID | ||||||||||||||
| 収録物識別子タイプ | EISSN | |||||||||||||
| 収録物識別子 | 15577368 | |||||||||||||
| 収録物ID | ||||||||||||||
| 収録物識別子タイプ | NCID | |||||||||||||
| 収録物識別子 | AA10628472 | |||||||||||||
| 出版者 | ||||||||||||||
| 出版者 | Association for Computing Machinery | |||||||||||||
| 言語 | en | |||||||||||||
| 権利情報 | ||||||||||||||
| 言語 | en | |||||||||||||
| 権利情報 | This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike International 4.0 License. | |||||||||||||
| EID | ||||||||||||||
| 識別子 | 404788 | |||||||||||||
| 識別子タイプ | URI | |||||||||||||
| 言語 | ||||||||||||||
| 言語 | eng | |||||||||||||
