Log-aesthetic curves and Riccati equations from the viewpoint of similarity geometry

DOI 被引用文献8件 参考文献3件

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説明

A family of curves with monotone curvature called the log-aesthetic curves (LAC) has been investigated in the field of industrial shape design. LAC has a radius of curvature in proportional to the power of a linear function of an arc-length parameter. In the present article we show that LAC can be naturally formulated in the similarity geometry and the Riccati equations satisfied by the similarity curvatures of LAC can be derived. Moreover, we clarify that certain generalizations of LAC (GLAC) can also be described in a uniform way.

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  • JSIAM Letters

    JSIAM Letters 7 (0), 21-24, 2015

    一般社団法人 日本応用数理学会

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参考文献 (3)*注記

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詳細情報 詳細情報について

  • CRID
    1390282680278028416
  • NII論文ID
    130004953469
  • DOI
    10.14495/jsiaml.7.21
  • ISSN
    18830617
    18830609
  • 本文言語コード
    en
  • データソース種別
    • JaLC
    • Crossref
    • CiNii Articles
  • 抄録ライセンスフラグ
    使用不可

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