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IJAT Vol.18 No.5 pp. 591-602
doi: 10.20965/ijat.2024.p0591
(2024)

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Log-Aesthetic Curves and Similarity Geometry

Kenjiro T. Miura*,† ORCID Icon and R. U. Gobithaasan** ORCID Icon

*Graduate School of Science and Technology, Shizuoka University
3-5-1 Jouhoku, Chuo-ku, Hamamatsu, Shizuoka 432-8561, Japan

†Corresponding author

**School of Mathematical Sciences, Universiti Sains Malaysia
Penang, Malaysia

Received:
January 29, 2024
Accepted:
April 15, 2024
Published:
September 5, 2024
Creative Commons License
Keywords:
log-aesthetic curves (LAC), similarity geometry, σ-curve, τ-curve, computer-aided design
Abstract

This paper delves into the recent advancements of log-aesthetic curves (LAC), a family of curves for industrial design. Recently it has been redefined in the context of similarity geometry, a branch of Klein geometry. Building upon the work of Miura and Gobithaasan [1], the paper explores LAC properties, delves into the connection with similarity geometry (as detailed in Inoguchi et al. [2-5]), and examines extensions of LACs, including the σ-curve [6] and τ-curve [7].

Cite this article as:
K. Miura and R. Gobithaasan, “Log-Aesthetic Curves and Similarity Geometry,” Int. J. Automation Technol., Vol.18 No.5, pp. 591-602, 2024.
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Last updated on Sep. 09, 2024