Discrete Log-Aesthetic Filter

• MIURA Kenjiro

  Graduate School of Science and Technology, Shizuoka University

• AGARI Shinichi

  Graduate School of Science and Technology, Shizuoka University

• AKIE Toshinao

  Faculty of Engineering, Shizuoka University

• YOSHIDA Norimasa

  College of Industrial Technology, Nihon University

• SAITO Takafumi

  Graduate School, Tokyo University of Agriculture and Technology

Bibliographic Information

Other Title

• 平面曲線に対する離散的log-aestheticフィルタの開発とその空間曲線と曲面への拡張法の提案
• ヘイメン キョクセン ニ タイスル リサンテキ log aesthetic フィルタ ノ カイハツ ト ソノ クウカン キョクセン ト キョクメン エ ノ カクチョウホウ ノ テイアン

Abstract

The aesthetic curves include the logarithmic (equiangular) spiral, clothoid, and involute curves. Although most of them are expressed only by an integral form of the tangent vector, it is possible to interactively generate and deform them and they are expected to be utilized for practical use of industrial and graphical design. However, the curvature of a log-aesthetic curve segment must be monotoinically increasing or decreasing and a strong constraint as a function of arc length is imposed on its curvature. For geometrical design, it is desirable not to impose strong constraints on the designer's activity, to let him/her design freely and to embed the properties of the log-aesthetic curves for complicated curves with both increasing and decreasing curvature. Hence we develop a discrete filter named the discrete log-aesthetic filter to fair a sequence of points with noises such as measurement data used in reverse engineering and to fit it locally to log-aestehtic curves. Furthermore we disucuss how to extend it for space curves and surfaces.

Journal

• The Journal of the Institute of Image Electronics Engineers of Japan

  The Journal of the Institute of Image Electronics Engineers of Japan 38 (4), 414-422, 2009

  The Institute of Image Electronics Engineers of Japan

Keywords

• discrete log-aesthetic filter
• log-aesthetic curve
• discrete curve
• discrete surface

Details

• CRID: 1390282679587308672
• NII Article ID: 10025522117
• NII Book ID: AN00041650
• DOI: 10.11371/iieej.38.414
• ISSN: 13480316
• ISSN: 02859831
• NDL BIB ID: 10412643
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10412643
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed