Reports of the Technical Conference of the Institute of Image Electronics Engineers of Japan
Online ISSN : 2758-9218
Print ISSN : 0285-3957
Reports of the 272ndTechnical Conference of the Institute of Image Electronics Engineers of Japan
Session ID : 14-02-16
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Curves with Quadratic Logarithmic Curvature Graphs
*Norimasa YoshidaTakafumi Saito
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Abstract

As an extension of log-aesthetic curves, this paper presents a method for drawing curves with quadratic logarithmic curvature graphs and clarifies the fundamental characteristics, such as the arc length of point at zero or infinite curvatures. Let α and γ be the linear and quadratic coefficients of logarithmic curvature graphs. Curves with γ = 0 are planar log-aesthetic curves. For some αs and γ, we show how the curvature plots and curve shapes of the proposed curve change as well as the fundamental characteristics. In comparison with log-aesthetic curves, the proposed curves have following advantages: additional parameter γ for controlling the curve and curves with γ‹ 0 have inflection points without depending on the value of α.

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© 2015 by The Institute of Image Electronics Engineers of Japan
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