2018年3月1日
Log-aesthetic curves as similarity geometric analogue of Euler's elasticae
Computer Aided Geometric Design
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- 巻
- 61
- 号
- 開始ページ
- 1
- 終了ページ
- 5
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.cagd.2018.02.002
- 出版者・発行元
- Elsevier B.V.
In this paper we consider the log-aesthetic curves and their generalization which are used in CAGD. We consider those curves under similarity geometry and characterize them as stationary integrable flow on plane curves which is governed by the Burgers equation. We propose a variational formulation of those curves whose Euler–Lagrange equation yields the stationary Burgers equation. Our result suggests that the log-aesthetic curves and their generalization can be regarded as the similarity geometric analogue of Euler's elasticae.
- リンク情報
- ID情報
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- DOI : 10.1016/j.cagd.2018.02.002
- ISSN : 0167-8396
- SCOPUS ID : 85042277905