Curves with Quadratic Logarithmic Curvature Graphs
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- Yoshida Norimasa
- Nihon University
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- Saito Takafumi
- Tokyo University of Agriculture and Technology
Bibliographic Information
- Other Title
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- 曲率対数グラフが 2 次曲線となる曲線
Description
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.
Journal
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- Reports of the Technical Conference of the Institute of Image Electronics Engineers of Japan
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Reports of the Technical Conference of the Institute of Image Electronics Engineers of Japan 14.02 (0), 104-109, 2015
The Institute of Image Electronics Engineers of Japan
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Details 詳細情報について
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- CRID
- 1390565134824461568
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- NII Article ID
- 130007793135
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- ISSN
- 27589218
- 02853957
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- Text Lang
- ja
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- Data Source
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- JaLC
- CiNii Articles
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- Abstract License Flag
- Disallowed
