美しい曲線の一般式とその自己アフィン性

• 三浦 憲二郎

  静岡大学創造科学技術大学院

書誌事項

タイトル別名

• A General Equation of Aesthetic Curves and Its Self-Affinity
• ウツクシイ キョクセン ノ イッパンシキ ト ソノ ジコ アフィンセイ

抄録

The curve is the most basic design element to determine shapes and silhouettes of industrial products and works for shape designers and it is inevitable for them to make it aesthetic and attractive to improve the total quality of the shape design. If we can find an equation of the aesthetic curves, it is expected that the quality of the curve design improves drastically because we can use them as standards to generate, evaluate, and deform the curves. In this paper, we discuss the properties of two typical aesthetically beautiful curves: the logarithmic spiral and the clothoid curve and we derive a general equation of aesthetic curves that describes the relationship between their radius of curvature and length inclusively expressing these two curves. Furthermore we show the self-affinity possessed by the curves satisfying the general equation of aesthetic curves.

収録刊行物

• 精密工学会誌論文集

  精密工学会誌論文集 72 (7), 857-861, 2006

  公益社団法人 精密工学会

キーワード

• aesthetic curve
• general equation of aesthetic curves
• self-similarity
• self-affinity

詳細情報

• CRID: 1390282680256840832
• NII論文ID: 110004744880
• NII書誌ID: AA11966630
• DOI: 10.2493/jspe.72.857
• ISSN: 18818722
• ISSN: 13488716
• ISSN: 13488724
• NDL書誌ID: 8029546
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I8029546
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可