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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/2000074
f9b52695-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 acmtg_43_2_18.pdf (9.5 MB)
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Item type 文献 / Documents(1)
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
関連識別子 https://doi.org/10.1145/3638048
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
著者 永田, 裕一

× 永田, 裕一

WEKO 695
徳島大学 教育研究者総覧 277583/profile-ja.html
e-Rad_Researcher 70334795

ja 永田, 裕一
ISNI

ja-Kana ナガタ, ユウイチ

en Nagata, Yuichi

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Imahori, Shinji

× Imahori, Shinji

en Imahori, Shinji

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抄録
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.
キーワード
主題 Tilings
キーワード
主題 dihedral escherization
キーワード
主題 Escher tiling
キーワード
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
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
権利情報
権利情報 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike International 4.0 License.
EID
識別子 404788
言語
言語 eng
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