Input of Aesthetic Curve Segments with Inflection End Points and Generation of Aesthetic Curves with G² continuity

DOI

Bibliographic Information

Other Title
  • 変曲点を端点とする美的曲線セグメントの入力とG²連続性を保証する美的曲線の生成法

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, their input method proposed so far by use of three so-called control points can generate only an aesthetic curve segment with monotonic curvature variation and can not create a curve with the curvature-extremal point or the inflection point. Hence at first we propose a technique to input an aesthetic curve segment with an inflection point at its end. Then we propose a method to generate an aesthetic curve with G² continuity from a sequence of 2D points input with, for example, a liquid cristal pen tablet.

Journal

Details 詳細情報について

  • CRID
    1390282680586781952
  • NII Article ID
    130006966822
  • DOI
    10.11371/aiieej.35vc.0.297.0
  • ISSN
    24364398
    24364371
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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