| アイテムタイプ |
学術雑誌論文 / Journal Article.(1) |
| 公開日 |
2023-10-27 |
| 書誌情報 |
en : Computer Aided Geometric Design
巻 101,
p. 102169,
ページ数 18,
発行日 2023
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| タイトル |
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|
タイトル |
Mean curvature flow for generating discrete surfaces with piecewise constant mean curvatures |
|
言語 |
en |
| 言語 |
|
|
言語 |
eng |
| キーワード |
|
|
言語 |
en |
|
主題Scheme |
Other |
|
主題 |
Form-finding |
| キーワード |
|
|
言語 |
en |
|
主題Scheme |
Other |
|
主題 |
Discrete differential geometry |
| キーワード |
|
|
言語 |
en |
|
主題Scheme |
Other |
|
主題 |
Constant mean curvature (CMC) |
| キーワード |
|
|
言語 |
en |
|
主題Scheme |
Other |
|
主題 |
Mean curvature flow |
| キーワード |
|
|
言語 |
en |
|
主題Scheme |
Other |
|
主題 |
Energy minimization |
| 資源タイプ |
|
|
資源タイプ識別子 |
http://purl.org/coar/resource_type/c_6501 |
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資源タイプ |
journal article |
| 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 |
| 著者 |
Hayashi, Kazuki
Jikumaru, Yoshiki
Ohsaki, Makoto
可香谷, 隆
Yokosuka, Yohei
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| 抄録 |
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|
内容記述タイプ |
Abstract |
|
内容記述 |
Piecewise constant mean curvature (P-CMC) surfaces are generated using the mean curvature flow (MCF). As an extension of the known fact that a CMC surface is the stationary point of an energy functional, a P-CMC surface can be obtained as the stationary point of an energy functional of multiple patch surfaces and auxiliary surfaces between them. A new formulation is presented for the MCF as the negative gradient flow of the energy functional for multiple patch continuous surfaces, which are further discretized so as to determine the change in the vertex positions of triangular meshes on the surface as well as along the internal boundaries between patches. Numerical examples show that multiple patch surfaces approximately reach the specified mean curvatures through the proposed method, which can diversify the options for the shape design using CMC surfaces. |
|
言語 |
en |
| 出版者 |
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|
出版者 |
Elsevier |
|
言語 |
en |
| 出版者版へのリンク |
|
|
URL |
https://doi.org/10.1016/j.cagd.2023.102169 |
| DOI |
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|
識別子タイプ |
DOI |
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関連識別子 |
10.1016/j.cagd.2023.102169 |
| ISSN |
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収録物識別子タイプ |
PISSN |
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収録物識別子 |
0167-8396 |
| 権利 |
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|
権利情報 |
© 2023 The Author(s). |
| 著者版フラグ |
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出版タイプ |
VoR |
|
出版タイプResource |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
1-s2.0-S0167839623000018-main.pdf (5 MB)
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